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Tytuł:
Realizations of linear control systems on time scales
Autorzy:
Bartosiewicz, Z.
Pawłuszewicz, E.
Powiązania:
https://bibliotekanauki.pl/articles/969999.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
time scale
linear control system
realization
controllability
observability
Markov parameters
Opis:
Linear constant-coefficients control systems with output on arbitrary time scales are studied. Kalman criteria of controllability and observability are extended to such systems. The main problem is to find criteria for an abstract input/output map to have a realization as a system on the time scale. Two different characterizations of realizability are proved. They extend the classical results obtained for continuous-time and discrete-time systems. Minimal realizations and their uniqueness are also studied.
Źródło:
Control and Cybernetics; 2006, 35, 4; 769-786
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dualities for linear control differential systems with infinite matrices
Autorzy:
Mozyrska, D.
Bartosiewicz, Z.
Powiązania:
https://bibliotekanauki.pl/articles/970007.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
infinite linear differential system
row-finite infinite matrix
approximate controllability
observability
Opis:
Infinite-dimensional linear dynamic systems described by infinite matrices are studied. Approximate controllability for systems with lower-diagonal matrices is investigated, whereas observability is studied for systems with row-finite and upper-diagonal matrices. Different necessary or sufficient conditions of approximate controllability and observability of such systems are given. They are used to show dualities between these properties. The theorems on dualities extend the results known for finite-dimensional systems.
Źródło:
Control and Cybernetics; 2006, 35, 4; 887-904
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of Linear Control Methods for an AMB System
Autorzy:
Grega, W.
Piłat, A.
Powiązania:
https://bibliotekanauki.pl/articles/911127.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
aktywne łożysko magnetyczne
sterowanie w czasie rzeczywistym
sterowanie liniowe
jakość regulacji
active magnetic bearing
real-time control
modelling
LQ control
control performance
Opis:
The contactless nature of active magnetic bearings brings about many advantages over the conventional bearing while industrial real-time applications are often limited by the significant complexity of control algorithms. This paper presents the application of an LQ controller to an active magnetic bearing system (AMB). Two control strategies are presented and compared: local and global. In the first case the rotor is modelled as two separated masses located at the bearing. In the second case rotor stabilization is considered globally as a problem of the rotating rigid body suspended in a magnetic field. The second approach is especially important for high-speed rotating machines. The control performance of both algorithms was analysed using an experimental AMB laboratory system.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 2; 245-255
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A spectral method of the analysis of linear control systems
Autorzy:
Kurdyukov, Alexander P.
Boichenko, Victor A.
Powiązania:
https://bibliotekanauki.pl/articles/329786.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
anisotropy based control theory
anisotropic norm
ℋ2-norm
H∞ norm
teoria sterowania
norma anizotropowa
norma H-nieskończoność
Opis:
A spectral method of the analysis of linear control systems is considered. Within the framework of this approach the σ-entropy of input signals and the σ-entropy norm of systems are introduced. The invariance of the introduced norm makes it possible to get invariant results of σ-entropy analysis.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 4; 667-679
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Different linear control laws for fractional chaotic maps using Lyapunov functional
Autorzy:
Almatroud, A. Othman
Ouannas, Adel
Grassi, Giuseppe
Batiha, Iqbal M.
Gasri, Ahlem
Al-sawalha, M. Mossa
Powiązania:
https://bibliotekanauki.pl/articles/2083459.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
discrete fractional calculus
chaotic map
linear control
Lyapunov method
Opis:
Dynamics and control of discrete chaotic systems of fractional-order have received considerable attention over the last few years. So far, nonlinear control laws have been mainly used for stabilizing at zero the chaotic dynamics of fractional maps. This article provides a further contribution to such research field by presenting simple linear control laws for stabilizing three fractional chaotic maps in regard to their dynamics. Specifically, a one-dimensional linear control law and a scalar control law are proposed for stabilizing at the origin the chaotic dynamics of the Zeraoulia-Sprott rational map and the Ikeda map, respectively. Additionally, a two-dimensional linear control law is developed to stabilize the chaotic fractional flow map. All the results have been achieved by exploiting new theorems based on the Lyapunov method as well as on the properties of the Caputo h-difference operator. The relevant simulation findings are implemented to confirm the validity of the established linear control scheme.
Źródło:
Archives of Control Sciences; 2021, 31, 4; 765-780
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Synchronization of FitzHugh-Nagumo reaction-diffusion systems via one-dimensional linear control law
Autorzy:
Ouannas, Adel
Mesdoui, Fatiha
Momani, Shaher
Batiha, Iqbal
Grassi, Giuseppe
Powiązania:
https://bibliotekanauki.pl/articles/1409370.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
FitzHugh-Nagumo
synchronization
uni-dimensional control
linear control
reaction-diffusion system
neuronal networks
Lyapunov’s second method
Opis:
The Fitzhugh-Nagumo model (FN model), which is successfully employed in modeling the function of the so-called membrane potential, exhibits various formations in neuronal networks and rich complex dynamics. This work deals with the problem of control and synchronization of the FN reaction-diffusion model. The proposed control law in this study is designed to be uni-dimensional and linear law for the purpose of reducing the cost of implementation. In order to analytically prove this assertion, Lyapunov’s second method is utilized and illustrated numerically in one- and/or two-spatial dimensions.
Źródło:
Archives of Control Sciences; 2021, 31, 2; 333-345
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the relaxation of state-constrained linear control problems via Henig dilating cones
Autorzy:
Kogut, P. I.
Leugering, G.
Schiel, R.
Powiązania:
https://bibliotekanauki.pl/articles/206472.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
state constrains
relaxation
Henig dilating cone
optimality conditions
Opis:
We discuss a regularization of state-constrained optimal control problems via a Henig relaxation of ordering cones. Considering a state-constrained optimal control problem, the pointwise state constraint is replaced by an inequality condition involving a so-called Henig dilating cone. It is shown that this class of cones provides a reasonable solid approximation of the typically nonsolid ordering cones which correspond to pointwise state constraints. Thereby, constraint qualifications, which are based on the existence of interior points, can be applied to given problems. Moreover, we characterize admissibility and solvability of the original problem by analyzing the associated relaxed problem. We also show that the optimality system for the original problem can be obtained through the limit passage in the corresponding optimality system for the relaxed problem. As an example of our approach, we derive the optimality conditions for a state constrained Neumann boundary optimal control problem and show that in this case the corresponding Lagrange multipliers are more regular than Borel measures.
Źródło:
Control and Cybernetics; 2016, 45, 2; 131-162
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical solution of fractional variable order linear control system in state-space form
Autorzy:
Malesza, W.
Macias, M.
Powiązania:
https://bibliotekanauki.pl/articles/201996.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
variable order fractional calculus
differential equations
analog modeling
równania różniczkowe
modelowanie analogowe
rachunek różniczkowy ułamkowego rzędu
Opis:
The aim of this paper is to introduce a matrix approach for approximate solving of non-commensurate fractional variable order linear control systems in state-space form. The approach is based on switching schemes that realize variable order derivatives. The obtained numerical solution is compared with simulation and analog model results.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 5; 715-724
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Linear Control of Electro-hydraulic Injection Moulding Machine
Sterowanie liniowe elektrohydraulicznego napędu maszyny wtryskowej
Autorzy:
Wiśniewski, P.
Winnicki, A.
Wnuk, P.
Olszewski, M.
Powiązania:
https://bibliotekanauki.pl/articles/154498.pdf
Data publikacji:
2009
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
elektrohydrauliczny układ sterowania
ICON-HISIM
maszyna wtryskowa
electro-hydraulic control system
injection machines
Opis:
This paper presents the idea of a linear control strategy, simulation and experimental results represented by graphs. The results from the implementation of the proposed control algorithm with the use of a real machine are also shown.
W artykule przedstawiono: sposób działania liniowego algorytmu sterującego, wyniki symulacji i eksperymentów zostały przedstawione w postaci wykresów. Znajdują się tu również wyniki uzyskane w wyniku implementacji opracowanego algorytmu na rzeczywistej maszynie wtryskowej.
Źródło:
Pomiary Automatyka Kontrola; 2009, R. 55, nr 3, 3; 178-182
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Regularization and discretization of linear-quadratic control problems
Autorzy:
Alt, W.
Seydenschwanz, M.
Powiązania:
https://bibliotekanauki.pl/articles/206162.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
bang-bang control
regularization
discretization
Opis:
We analyze regularizations of a class of linear-quadratic optimal control problems with control appearing linearly. It is shown that if the optimal control is bang-bang or if a coercivity condition for the state variables is satisfied, the solutions are continuous functions of the regularization parameter. Combining error estimates for Euler discretizations of the regularized problems with those for the regularization error, we choose the regularization parameter in dependence of the meshsize to obtain optimal convergence rates for the discrete solutions. Numerical experiments confirm the theoretical findings.
Źródło:
Control and Cybernetics; 2011, 40, 4; 903-920
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal and Suboptimal Control of a Standard Brownian Motion
Autorzy:
Lefebvre, M.
Powiązania:
https://bibliotekanauki.pl/articles/229314.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
stochastic control
Wiener process
best linear control
Opis:
The problem of optimally controlling a standard Brownian motion until a fixed final time is considered in the case when the final cost function is an even function. Two particular problems are solved explicitly. Moreover, the best constant control as well as the best linear control are also obtained in these two particular cases.
Źródło:
Archives of Control Sciences; 2016, 26, 3; 383-394
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decentralized fuzzy-integral-sliding control for a class of TITO uncertain nonlinear systems with application to a 2-DOF helicopter model
Autorzy:
Zare, K.
Koofigar, H. R.
Powiązania:
https://bibliotekanauki.pl/articles/281582.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
CE150 helicopter
non-linear control
FISC
robustness
decoupling
Opis:
In this paper, a novel fuzzy-integral-sliding controller (FISC) is designed for coupled nonlinear two-input two-output (TITO) systems. Decomposing the original system into two subsystems, the coupling effects are modelled as uncertainties. In order to ensure the robustness properties with respect to system uncertainties and external disturbances, the sliding mode technique with a proportional integral (PI) sliding surface is adopted. On the other hand, to avoid the chattering phenomenon, the Takagi-Sugeno fuzzy rules are incorporated into the control algorithm, which forms a fuzzy sliding controller. The stability analysis is also presented based on the Lyapunov stability theorem. The proposed FISC is then applied to control the elevation and azimuth angles of Humusoft CE150, as a two degree of freedom (DOF) laboratory helicopter model with highly cross-coupled dynamics. The simulation results are also presented to demonstrate the performance of the proposed control scheme.
Źródło:
Journal of Theoretical and Applied Mechanics; 2014, 52, 4; 959-969
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Neural Network-Based Narx Models in Non-Linear Adaptive Control
Autorzy:
Dzieliński, A.
Powiązania:
https://bibliotekanauki.pl/articles/907986.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
neural networks
adaptive control
nonlinear systems
Opis:
The applicability of approximate NARX models of non-linear dynamic systems is discussed. The models are obtained by a new version of Fourier analysis-based neural network also described in the paper. This constitutes a reformulation of a known method in a recursive manner, i.e. adapted to account for incoming data on-line. The method allows us to obtain an approximate model of the non-linear system. The estimation of the influence of the modelling error on the discrepancy between the model and real system outputs is given. Possible applications of this approach to the design of BIBO stable closed-loop control are proposed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 2; 235-240
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
EHMAC - a New Simple Tool for Robust Linear Multivariable Control
Autorzy:
Latawiec, K. J.
Rojek, R.
Powiązania:
https://bibliotekanauki.pl/articles/911218.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie wewnętrzne
sterowanie predykcyjne
sterowanie wielowymiarowe
internal model control
model-based predictive control
multivariable control
orthonormal basis functions
robust control
Opis:
A combination of long range predictive control-originated EHPC and internal model control-structured MAC is shown to produce a new, simple but effective Extended Horizon Model Algorithmic Control (EHMAC). The EHMAC strategy can be used to robustly control open-loop stable non-minimum phase (possibly non-square) MIMO systems under very large model-plant mismatches. Robust EHMAC design is made straightforward by means of a separate selection of a single prediction horizon and an IMC filter parameter, which can be easily auto-tuned.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 575-590
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Novel fault detection criteria based on linear quadratic control performances
Autorzy:
Krokavec, D.
Filasová, A.
Powiązania:
https://bibliotekanauki.pl/articles/331247.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
obniżenie wydajności
detekcja uszkodzeń
układ dyskretny
performance degradation
fault detection schemes
discrete time systems
LQ control methods
Opis:
This paper proposes a new approach to designing a relatively simple algorithmic fault detection system that is potentially applicable in embedded diagnostic structures. The method blends the LQ control principle with checking and evaluating unavoidable degradation in the sequence of discrete-time LQ control performance index values due to faults in actuators, sensors or system dynamics. Design conditions are derived, and direct computational forms of the algorithms are given. A simulation example subject to different types of failures is used to illustrate the design process and to demonstrate the effectiveness of the method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 4; 929-938
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
PCIExpress communication layer for ATCA-based linear accelerator control system
Autorzy:
Kucharski, T.
Piotrowski, A.
Makowski, D.
Jabłońki, G.
Powiązania:
https://bibliotekanauki.pl/articles/397941.pdf
Data publikacji:
2010
Wydawca:
Politechnika Łódzka. Wydział Mikroelektroniki i Informatyki
Tematy:
PCIExpress bus
advanced telecommunications computing architecture
advanced mezzanine card
TCP/IP server
Opis:
PCIExpress architecture is widely used communication bus designed, among other things, for industrial application. Additionally, according to PICMG 3.4 specification it is part of an ATCA architecture. For that reason PCIExpress was used as communication interface for data transmission between ATCA carrier boards and AMC modules for the new control system for XFEL linear accelerator. In this paper authors present general overview of this system, describe communication protocols designed to exchange data with external user application and show results of performance test.
Źródło:
International Journal of Microelectronics and Computer Science; 2010, 1, 1; 60-64
2080-8755
2353-9607
Pojawia się w:
International Journal of Microelectronics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
State observer for doubly-fed induction generator
Autorzy:
Blecharz, K.
Wachowiak, D.
Krzemiński, Z.
Powiązania:
https://bibliotekanauki.pl/articles/1193442.pdf
Data publikacji:
2017
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
doubly-fed induction generator
non-linear control
state observer
power control
Opis:
The purpose of this paper is to show a new state observer for doubly-fed generator. A proposed z-type observer algorithm based on mathematical model of doubly fed generator with additional variables treated as a disturbances has been used. A nonlinear multiscalar control method has been proposed to control active and reactive power of the generator. All analyses were verified by simulations and experiments tests.
Źródło:
Power Electronics and Drives; 2017, 2, 37/2; 61-75
2451-0262
2543-4292
Pojawia się w:
Power Electronics and Drives
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Backlash fault suppression using LQ optimal control based rst controllers in wind turbine systems using bond graphs and matlab/simulink
Autorzy:
Arab, Mohamed
Lachouri, Abederezak
Kerikeb, Mohamed
Mehennaoui, Lamine
Bouchareb, Faouzi
Powiązania:
https://bibliotekanauki.pl/articles/2115160.pdf
Data publikacji:
2021
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
modeling
bond graph
wind turbine
backlash
quadratic linear control
RST controller
Opis:
The presence of backlash in wind turbines is a source of limitations as it introduces nonlinearities that reduce their efficiency in speed/torque control which affect the performance of the power quality. Because of production tolerances during rotation, the teeth contact is lost for a small angle; until it is re-established, it produces a backlash phenomenon. The desire to eliminate this phenomenon is often hard to realise due to the nonlinear dynamic behaviour, which arises with the presence of backlash fault in a system. Therefore, the goal of this study is to develop an LQ optimal control structure in a form of an R-S-T controller in order to reduce the disturbing torque transmitted inside the dead zone of a gearbox in the wind turbine system. The actual system is also developed to be used as a demonstration model at lectures or presentations. The efficacy of the proposed control is illustrated via simulations.
Źródło:
Acta Mechanica et Automatica; 2021, 15, 3; 154--163
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Innovative Adaptive Control of Material Fatigue Test Machines Using an MCS Controller
Autorzy:
Heyduk, A.
Kalinowski, K.
Kaula, R.
Pielot, J.
Powiązania:
https://bibliotekanauki.pl/articles/2064948.pdf
Data publikacji:
2018
Wydawca:
STE GROUP
Tematy:
fatigue test machines
stress
non-linear control
adaptive control
Minimal Control Synthesis
Opis:
The paper presents some issues related to the control of fatigue test machines based on W(t) parameter taking into account the simultaneous interaction of stress and strain. This parameter is defined as a product of these values. Such a research method represents a new approach in fatigue testing with an innovative control system. Because of the W(t) function characteristics, the system presents nonlinear behavior and there is a significant deterioration of the control quality and the controlled signal significantly differs from the reference signal waveform. This problem can be solved by introducing a nonlinear block into the feedback loop. Fatigue tests have been carried out for sinusoidal and randomized reference signal waveforms. These tests have proved that the controlled signal follows reference values with an appropriate control quality.
Źródło:
Multidisciplinary Aspects of Production Engineering; 2018, 1, 1; 287--294
2545-2827
Pojawia się w:
Multidisciplinary Aspects of Production Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Porównanie algorytmów liniowej regulacji predykcyjnej
Comparison of linear prediction control algorithms
Autorzy:
Szumski, M.
Powiązania:
https://bibliotekanauki.pl/articles/277267.pdf
Data publikacji:
2011
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
algorytmy predykcyjne
układy regulacji temperatury
prediction algorithms
temperature controllers
Opis:
Referat zawiera porównanie algorytmów predykcyjnych stosowanych w układach regulacji temperatury systemu ogrzewania budynku. Badania wykonano na modelu fizycznym umieszczonym w komorze klimatycznej. Porównanie dotyczy algorytmu DMC z modelem w postaci odpowiedzi skokowej, algorytmu GPC z modelem transmitancyjnym oraz algorytmu MPCS w dwóch wersjach: z obserwatorem stanu zbudowanym w oparciu o regułę Ackermanna oraz z filtrem Kalmana z zastosowaniem funkcji ortonormalnych.
This paper contains a comparison of several prediction algorithms used in temperature controllers within heating systems. Tests were conducted using a scale house model placed in an environmental chamber. The comparison includes a DMC algorithm with a unit step function model, a GPC algorithm with transmittance model and two MPCS algorithm variations: one with state observer based on Ackermann's rule and one using Kalman filter utilizing orthonormal functions.
Źródło:
Pomiary Automatyka Robotyka; 2011, 15, 2; 603-612
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Linear Speed Control for Multi-Machine system Using Fuzzy-Sliding Mode
Autorzy:
Bouchiba, B.
Hazzab, A.
Glaoui, H.
Med-Karim, F.
Bousserhane, I. K.
Sicard, P.
Powiązania:
https://bibliotekanauki.pl/articles/384749.pdf
Data publikacji:
2012
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
multi-motors system
fuzzy logic
sliding mode control
MIMO
Opis:
In this contribution, a control scheme based on multi input multi output Fuzzy Sliding Mode control (MIMOFSMC) for linear speed regulation of multi-motors system is proposed. Once the decoupled model of the multi- motors system is obtained, a smooth control function with a threshold was chosen to indicate how far the state from to the sliding surface is. However, the magnitude of this control function depends closely on the upper bound of uncertainties, and this generates chattering. So, this magnitude has to be chosen with great care to obtain high performances. Usually the upper bound of uncertainties is difficult to known before motor operation, so, a Fuzzy Sliding Mode controller is investigated to solve this difficulty; a simple Fuzzy inference mechanism is used to reduce the chattering phenomenon by simple adjustments. A simulation study is carried out and shows that the proposed controller has great potential for use as an alternative to the conventional sliding mode contro.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2012, 6, 1; 3-7
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stanowisko laboratoryjne do badania elementów i układów regulacji automatycznej
Laboratory stand for testing the elements and automatic control systems
Autorzy:
Krzysztoszek, Konrad
Podsiadły, Dariusz
Kijewski, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/310041.pdf
Data publikacji:
2019
Wydawca:
Instytut Naukowo-Wydawniczy "SPATIUM"
Tematy:
automatyka
liniowy układ regulacji
wzmacniacz operacyjny
automation
linear control system
operational amplifier
Opis:
Artykuł jest prezentacją stanowiska laboratoryjnego umożliwiającego modelowanie i badanie własności dynamicznych, elementów i układów regulacji automatycznej. Stanowisko zostało wykonane przez studentów, jako praca dyplomowa, pod kierunkiem pracowników Katedry Automatyki i Inżynierii Pomiarowej, Wydziału Transportu, Elektrotechniki i Informatyki, Uniwersytetu Technologiczno-Humanistycznego w Radomiu. Jest wykorzystywane do zajęć laboratoryjnych z przedmiotu Podstawy Automatyki.
The paper presents a laboratory station enabling modelling and testing of linear regulation elements and systems. The station was built by students supervised by employees of the Department of Automatic Control and Measurement Engineering, of the Faculty of Transport, Electrical Engineering and Informatics of the UTH of Radom and is used during laboratory classes of the course in Automatics.
Źródło:
Autobusy : technika, eksploatacja, systemy transportowe; 2019, 20, 12; 153-156
1509-5878
2450-7725
Pojawia się w:
Autobusy : technika, eksploatacja, systemy transportowe
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust Back-stepping Based Higher Order Sliding Mode Control of Non-Inverted Buck-Boost Converter for a Photovoltaic System
Autorzy:
Ullah, Shaukat
Powiązania:
https://bibliotekanauki.pl/articles/1955975.pdf
Data publikacji:
2021
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
MPPT
buck-boost converter
non-linear control
backstepping
higher order sliding
photovoltaic PV
Opis:
Photovoltaic (PV) system generates renewable energy from sunlight, which has low efficiency due to the variance in nature of temperature and irradiance in a fast changing environment condition. Different researchers have proposed different maximum power point tracking MPPT techniques to improve the efficiency. However, still there are many open issues. Thus, to address this, a non-linear back-stepping-based higher order sliding mode controller (BHOSMC) is proposed to harvest maximum power from PV system. The PV module and load is interfaced by a non-inverted buck-boost converter (NIBBC). A linear interpolation method is used for voltage generation and Lyapunov stability is used to verify the control system equation. MATLAB/Simulink software is used for testing the proposed controller performance. The experimental result verified that the proposed BHOSMC is robust, accurate and fast tracking, faultless and less chattering as compared to perturb and observe (P&O), back-stepping control (BSC) and back-stepping-based sliding mode control under rapidly varying meteorological condition.
Źródło:
Power Electronics and Drives; 2021, 6, 41; 113-127
2451-0262
2543-4292
Pojawia się w:
Power Electronics and Drives
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Linear quadratic power control for CDMA systems
Autorzy:
Anderson, M.D.
Perreau, S.
White, L.B.
Powiązania:
https://bibliotekanauki.pl/articles/307733.pdf
Data publikacji:
2003
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
CDMA
CDMA systems
power control
Kalman filtering
channel estimation
linear quadratic control systems
Opis:
In this paper, we present a robust decentralized method for jointly performing channel estimation and closed loop power control for the reverse link of CDMA networks. Our method, based on linear quadratic Gaussian (LQG) control systems theory and Kalman filtering, does not require any training symbols for channel or signal to interference ratio (SIR) estimation. The main interest of this new scheme is that it improves the performance of current SIR based power control techniques while avoiding the problem of power escalation, which is often observed in current systems.
Źródło:
Journal of Telecommunications and Information Technology; 2003, 2; 48-54
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Error analysis of discrete approximations to bang-bang optimal control problems: the linear case
Autorzy:
Veliov, V. M.
Powiązania:
https://bibliotekanauki.pl/articles/970563.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
liniowy system sterowania
aproksymacja dyskretna
szacowanie błędów
linear control systems
discrete approximations
error estimates
Opis:
The paper presents an error estimate for Runge-Kutta direct discretizations of terminal optimal control problems for linear systems. The optimal control for such problems is typically discontinuous, and Lipschitz stability of the solution with respect to perturbations does not necessarily hold. The estimate (in terms of the optimal controls) is of first order if certain recently obtained sufficient conditions for structural stability hold, and of fractional order, otherwise. The main tool in the proof is the established relation between the local convexity index of the reachable set and the multiplicity of zeros of appropriate switching functions associated with the problem.
Źródło:
Control and Cybernetics; 2005, 34, 3; 967-982
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Partial derivatives of the Vandermonde determinant and their application to the synthesis of linear control systems
Pochodne cząstkowe wyznacznika Vandermondea oraz ich zastosowanie do syntezy liniowych układów sterowania
Autorzy:
Kaczorek, T.
Traczyk, T.
Powiązania:
https://bibliotekanauki.pl/articles/742488.pdf
Data publikacji:
1973
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Applicationes Mathematicae; 1972-1973, 13, 3; 329-337
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Linear Quadratic Control Problem With Fixed Final State for Discrete-Time Distributed Systems
Autorzy:
Chraibi, L.
Karrakchou, J.
Ouansafi, A.
Rachik, M.
Powiązania:
https://bibliotekanauki.pl/articles/911211.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowność
prawo sprzężenia zwrotnego
sterowanie optymalne
exact controllability
feedback law
open loop
optimal control
quadratic control
Opis:
The problem considered is that of minimizing a quadratic cost functional for a discrete distributed system with fixed initial and final states. It is shown that under suitable controllability assumptions, there is a close relationship between this problem and that of exact controllability with minimization of a time-varying energy criterion. The HUM technique is then extended to treat the exact controllability problem in the time-varying case and applied to provide an explicit form for the optimal control and the optimal cost.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 517-535
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A direct approach to linear-quadratic stochastic control
Autorzy:
Duncan, T. E.
Pasik-Duncan, B.
Powiązania:
https://bibliotekanauki.pl/articles/255863.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
linear-quadratic Gaussian control
Riccati equation for optimization
stochastic control
Opis:
A direct approach is used to solve some linear-quadratic stochastic control problems for Brownian motion and other noise processes. This direct method does not require solving Hamilton-Jacobi-Bellman partial differential equations or backward stochastic differential equations with a stochastic maximum principle or the use of a dynamic programming principle. The appropriate Riccati equation is obtained as part of the optimization problem. The noise processes can be fairly general including the family of fractional Brownian motions.
Źródło:
Opuscula Mathematica; 2017, 37, 6; 821-827
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An SQP trust region method for solving the discrete-time linear quadratic control problem
Autorzy:
Mostafa, E. M. E.
Powiązania:
https://bibliotekanauki.pl/articles/331409.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
programowanie sekwencyjne
programowanie kwadratowe
system dyskretno-czasowy
output feedback control design
sequential quadratic programming
trust region method
Opis:
In this paper, a sequential quadratic programming method combined with a trust region globalization strategy is analyzed and studied for solving a certain nonlinear constrained optimization problem with matrix variables. The optimization problem is derived from the infinite-horizon linear quadratic control problem for discrete-time systems when a complete set of state variables is not available. Moreover, a parametrization approach is introduced that does not require starting a feasible solution to initiate the proposed SQP trust region method. To demonstrate the effectiveness of the method, some numerical results are presented in detail.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 353-363
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of linear systems in random horizon via control
Autorzy:
Kozłowski, E.
Powiązania:
https://bibliotekanauki.pl/articles/206800.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
linear quadratic control
random horizon
stability
Opis:
The control problem with random horizon at finie number of events is investigated in this paper, where the general aim of control is the stabilization (in mean square sense) of linear system at minimum cost. This problem is reduced to the task of optima control with established finite horizon. Moreover, the differences between stabilization with fixed and random horizons are also given. To illustrate those differences a numerical example is included.
Źródło:
Control and Cybernetics; 2013, 42, 2; 527-541
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Null-Controllability of Linear Systems on Time Scales
Autorzy:
Pawłuszewicz, E.
Powiązania:
https://bibliotekanauki.pl/articles/970568.pdf
Data publikacji:
2012
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
system liniowy
system sterowania
skala czasowa
ograniczenia sterowania
linear control system
control constrains
null-controllability
time scale
delta derivative
Opis:
The purpose of the paper is to study the problem of controllability of linear control systems with control constrains, defined on a time scale. The obtained results extend the existing ones on any time domain. The set of values of admissible controls is a given closed and convex cone with nonempty interior and vertex at zero or is a subset of containing zero.
Źródło:
Acta Mechanica et Automatica; 2012, 6, 4; 50-55
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stochastic controllability of systems with multiple delays in control
Autorzy:
Klamka, J.
Powiązania:
https://bibliotekanauki.pl/articles/907857.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowalność
liniowy system sterowania
sterowalność stochastyczna
sterowanie opóźnione
controllability
linear control systems
stochastic control systems
delayed controls
multiple delays
Opis:
Finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with multiple point delays in control are considered. Using the notation, theorems and methods used for deterministic controllability problems for linear dynamic systems with delays in control as well as necessary and sufficient conditions for various kinds of stochastic relative controllability in a given time interval are formulated and proved. It will be proved that, under suitable assumptions, relative controllability of an associated deterministic linear dynamic system is equivalent to stochastic relative exact controllability and stochastic relative approximate controllability of the original linear stochastic dynamic system. As a special case, relative stochastic controllability of dynamic systems with a single point delay is also considered. Some remarks and comments on the existing results for stochastic controllability of linear dynamic systems are also presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 1; 39-47
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
TM-AFM nonlinear motion control with robustness analysis to parametric errors in the control signal determination
Autorzy:
Balthazar, J. M.
Tusset, A. M.
Bueno, Á. M.
Powiązania:
https://bibliotekanauki.pl/articles/281314.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
AFM
SDRE control
optimal linear feedback control
uncertainty
Opis:
Nonlinear motion of the microcantilever probe in the Atomic Force Microscope (AFM) has been extensively studied considering mainly the van der Waals forces. Since the behavior of the microcantilever is vital to quality of generated images, the study of control strategies that force the probe to avoid undesired behavior such as chaotic motion, is also of significant importance. A number of published works has shown that the microcantilever is subject to chaotic motion for a certain combination of parameters. For such a parameter combination, the control system must suppress the chaotic motion. Here, an study of the AFM mathematical model is presented, aiming to find a region of operation of the AFM where the motion is chaotic. In order to suppress the chaotic motion, a periodic orbit of the system is obtained, and the controller forces the system to that periodic orbit. Two control strategies are used, namely: The State Dependent Riccati Equation (SDRE) and the Optimal Linear Feedback Control (OLFC). Both control strategies consider the complete nonlinearities of the system, and the OLFC guarantees the global stability. The numerical simulations carried out showed the efficiency of the control methods as well as the sensitivity of each control strategy to parametric errors. Without the parametric errors, both control strategies were effective in maintaining the system into the desired orbit. On the other hand, in the presence of parametric errors, the SDRE technique was more robust than the OLFC.
Źródło:
Journal of Theoretical and Applied Mechanics; 2014, 52, 1; 93-106
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of linear feedback for bilinear control systems
Autorzy:
Belozyorov, V. Y.
Powiązania:
https://bibliotekanauki.pl/articles/908500.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
system of ordinary quadratic differential equations
bilinear control system
linear control law
cone of stability
feedback
closed-loop system
Opis:
Sufficient conditions for the conditional stability of trivial solutions for quadratic systems of ordinary differential equations are obtained. These conditions are then used to design linear control laws on the output for a bilinear system of any order. In the case of a homogeneous system, a domain of the conditional stability is also indicated (it is a cone). Some examples are given.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 493-511
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stochastic controllability of linear systems with state delays
Autorzy:
Klamka, J.
Powiązania:
https://bibliotekanauki.pl/articles/911240.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowalność
liniowy system sterowania
sterowanie z minimalną energią
controllability
linear control systems
stochastic control systems
delayed state variables
minimum energy control
Opis:
A class of finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with a single point delay in the state variables is considered. Using a theorem and methods adopted directly from deterministic controllability problems, necessary and sufficient conditions for various kinds of stochastic relative controllability are formulated and proved. It will be demonstrated that under suitable assumptions the relative controllability of an associated deterministic linear dynamic system is equivalent to the stochastic relative exact controllability and the stochastic relative approximate controllability of the original linear stochastic dynamic system. Some remarks and comments on the existing results for the controllability of linear dynamic systems with delays are also presented. Finally, a minimum energy control problem for a stochastic dynamic system is formulated and solved.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 5-13
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Suboptimal Non-linear Predictive Control Based on MLP and RBF Neural Models with Measured Disturbance Compensation
Autorzy:
Ławryńczuk, M.
Powiązania:
https://bibliotekanauki.pl/articles/384285.pdf
Data publikacji:
2008
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
predictive control
neural networks
linearisation
quadratic programming
Opis:
This paper is concerned with a computationally efficient (suboptimal) non-linear Model Predictive Control (MPC) algorithm based on two types of neural models: Multilayer Perceptron (MLP) and Radial Basis Function (RBF) structures. The model takes into account not only controlled but also the uncontrolled input of the process, i.e. the measured disturbance. The algorithm is computationally efficient, because it results in a quadratic programming problem, which can be effectively solved on-line by means of a numerically reliable software subroutine. Moreover, the algorithm gives good closed-loop control performance, comparable to that obtained in the fully-fledged non-linear MPC technique, which hinges on non-linear, usually non-convex optimisation.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2008, 2, 2; 54-64
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sterowanie nieliniowe backstepping wahadła odwróconego z napędem inercyjnym
Non-Linear Backstepping Control for an Inertia Wheel Pendulum
Autorzy:
Owczarkowski, A.
Bachman, P.
Gośliński, J.
Owczarek, P.
Regulski, R.
Powiązania:
https://bibliotekanauki.pl/articles/159172.pdf
Data publikacji:
2014
Wydawca:
Sieć Badawcza Łukasiewicz - Instytut Elektrotechniki
Tematy:
sterowanie nieliniowe
backstepping
LQR
IWP
nonlinear control
Opis:
W artykule przedstawiono działanie nieliniowego algorytmu sterowania backstepping użytego do stabilizacji wahadła odwróconego IWP (Inertia Wheel Pendulum). Analizowanym obiektem jest konstrukcja umocowana na dwóch kołach i posiadająca silnik napędzający koło zamachowe. To czyni z niej nieliniowy układ o dwóch stopniach swobody (kąt odchylenia od pionu i kąt obrotu koła) i jednym wymuszeniu (moment siły na wale silnika). Jako punkt pracy obrano niestabilną pozycję pionową. W oparciu o teorię stabilności Lapunowa, analitycznie wyznaczono prawo sterowania. Dla porównania wyznaczono również sterowanie liniowo-kwadratowe LQR (Linear Quadratic Regulator). Wykonano testy symulacyjne obu algorytmów wykazując, że w wielu sytuacjach sterowanie backstepping pozwala uzyskać lepsze rezultaty niż sterowanie LQR.
This article describes the non-linear backstepping control algorithm used to stabilize the inverted pendulum IWP (Inertia Wheel Pendulum). The analysed object is a construction mounted on two wheels with an electric motor accelerating the flywheel. This is the non-linear system with two degrees of freedom (the angle of inclination and rotation of the wheel) and one actuator (torque on the motor shaft). The vertical position is the unstable operating point. The Lyapunov stability theory allowed to formulate the control law analyticity. The result is compared with the linear-quadratic control LQR (Linear Quadratic Regulator). The simulation tests showed differences of both algorithms and benefits of using backstepping.
Źródło:
Prace Instytutu Elektrotechniki; 2014, 264; 51-63
0032-6216
Pojawia się w:
Prace Instytutu Elektrotechniki
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Linear Repetitive Process Control Theory Applied to a Physical Example
Autorzy:
Gałkowski, K.
Rogers, E.
Paszke, W.
Owens, D. H.
Powiązania:
https://bibliotekanauki.pl/articles/908259.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
robotyka
repetitive dynamics
metal rolling
LMIs
delay differential system
stability
Opis:
In the case of linear dynamics, repetitive processes are a distinct class of 2D linear systems with uses in areas ranging from long-wall coal cutting and metal rolling operations to iterative learning control schemes. The main feature which makes them distinct from other classes of 2D linear systems is that information propagation in one of the two independent directions only occurs over a finite duration. This, in turn, means that a distinct systems theory must be developed for them for onward translation into efficient routinely applicable controller design algorithms for applications domains. In this paper, we introduce the dynamics of these processes by outlining the development of models for various metal rolling operations. These models are then used to illustrate some recent results on the development of a comprehensive control theory for these processes.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 1; 87-99
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
System vibration control using linear quadratic regulator
Autorzy:
Abdelrahman, M.
Aryassov, G.
Tamre, M.
Penkov, I.
Powiązania:
https://bibliotekanauki.pl/articles/2174175.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
robot humanoidalny
robotyka
robot dwunożny
linear quadratic regulator
inverted pendulum on cart
Opis:
Balancing a bipedal robot movement against external perturbations is considered a challenging and complex topic. This paper discusses how the vibration caused by external disturbance has been tackled by a Linear Quadratic Regulator, which aims to provide optimal control to the system. A simulation was conducted on MATLAB in order to prove the concept. Results have shown that the linear quadratic regulator was successful in stabilizing the system efficiently.
Źródło:
International Journal of Applied Mechanics and Engineering; 2022, 27, 3; 1--8
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A predictive model of multi-stage production planning for fixed time orders
Autorzy:
Kozłowski, E.
Terkaj, W.
Gola, A.
Hajduk, M.
Świć, A.
Powiązania:
https://bibliotekanauki.pl/articles/407278.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
production planning
faulty parts predictability
mathematical model
linear quadratic control
Opis:
The traditional production planning model based upon a deterministic approach is well described in the literature. Due to the uncertain nature of manufacturing processes, such model can however incorrectly represent actual situations on the shop floor. This study develops a mathematical modeling framework for generating production plans in a multistage manufacturing process. The devised model takes into account the stochastic model for predicting the occurrence of faulty products. The aim of the control model is to determine the number of products which should be manufactured in each planning period to minimize both manufacturing costs and potential financial penalties for failing to fulfill the order completely.
Źródło:
Management and Production Engineering Review; 2014, 5, 3; 23-32
2080-8208
2082-1344
Pojawia się w:
Management and Production Engineering Review
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic Algorithm for Linear Quadratic Gaussian Predictive Control
Autorzy:
Ordys, A. W.
Hangstrup, M. E.
Grimble, M. J.
Powiązania:
https://bibliotekanauki.pl/articles/911167.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
przestrzeń fazowa
sterowanie wielowymiarowe
sterowanie predykcyjne
state-space design
multivariable control
linear quadratic Gaussian predictive control
generalized predictive control
Opis:
In this paper, the optimal control law is derived for a multi-variable state-space Linear Quadratic Gaussian Predictive Controller (LQGPC). A dynamic performance index is utilized resulting in an optimal steady-state controller. Knowledge of future reference values is incorporated into the controller design and the solution is derived using the method of Lagrange multipliers. It is shown how the well-known GPC controller can be obtained as a special case of the LQGPC controller design. The important advantage of using the LQGPC framework for designing predictive controllers is that, based on stabilizing properties of LQG control, it enables a systematic approach to selection of the design parameters to yield a stable closed-loop system. The system model considered in this paper can be further extended toalso include direct feed-through and knowledge about future external inputs.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 227-244
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The efficiency of the inference system knowledge strategy for induction motor linear speed control of an urban electric vehicle
Autorzy:
Nasri, A.
Powiązania:
https://bibliotekanauki.pl/articles/384527.pdf
Data publikacji:
2010
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
electric vehicle
electronic differential
induction motor
vector control
fuzzy logic speed control
Opis:
This paper presents a real induction vehicle motor speed estimation technique, based on the fuzzy logic inference system knowledge for electric vehicle safety based on differential electronics as essential element for two wheeled electric vehicle driving which utilize the two back separately induction motors for motion. The aim object of the fuzzy logic controller is to give more and more safety for the electric propulsion system safety during motion against road topology. Our electric vehicle fuzzy inference system control’s simulated in Matlab SIMULINK environment, the results obtained present the efficiency and the robustness of the proposed control with good performances compared with the traditional PI speed control, the FLC induction traction machine presents not only good steady characteristic, but with no overshoot too. The electronic differential system ensures the robust control of the vehicle behavior on the road. It also allows controlling, independently, every driving wheel to turn at different speeds in any curve.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2010, 4, 1; 85-93
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Anti-windup strategy for an LQ current controller with oscillatory terms for three-phase grid-tie VSCs in SMES systems
Autorzy:
Gałecki, A.
Grzesiak, L.
Ufnalski, B.
Kaszewski, A.
Michalczuk, M.
Powiązania:
https://bibliotekanauki.pl/articles/1193252.pdf
Data publikacji:
2016
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
grid-connected converter
linear quadratic control
resonant control
current control
anti-windup
Opis:
The paper presents a linear-quadratic current controller with damped oscillatory terms designed for three-phase grid-tie voltage source converters used in SMES systems and operated under distorted grid voltage conditions. Special emphasis is placed on a synthesis of an anti-windup mechanism to prevent wind-up derived from the oscillatory terms by the use of a new active damping loop based on a simple moving average method. As a consequence, the current feedback gain may be increased without unwanted overshoot and overruns, and performance of the system can be improved.
Źródło:
Power Electronics and Drives; 2016, 1, 36/2; 65-81
2451-0262
2543-4292
Pojawia się w:
Power Electronics and Drives
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decentralized PI controller for multimotors web winding system
Autorzy:
Bouchiba, B.
Hazzab, A.
Glaoui, H.
Med-Karim, F.
Bousserhane, I. K.
Sicard, P.
Powiązania:
https://bibliotekanauki.pl/articles/384405.pdf
Data publikacji:
2012
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
multi motors web winding system
PI controller
tension control
linear speed control
Opis:
Web winding systems allow the operations of unwinding and rewinding of various products including plastic films, sheets of paper, sheets, and fabrics. These operations are necessary for the development and the treatment of these products. Web winding systems generally consist of the same machine elements in spite of the diversity of the transported products. Due to the wide rang variation of the radius and inertia of the rollers the system dynamic change considerably during the winding/ unwinding process. Decentralized PI controller for web tension control and linear speed control are presented in this paper. The PI control method can be applied easily and is widely known, it has an important place in control applications. Simulation results show the effectiveness of the proposed linear speed and tension controller for web winding multi motors systems.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2012, 6, 2; 32-36
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Linear matrix inequalities control driven for non-ideal power source energy harvesting
Autorzy:
Ferreira, D. C.
Chavarette, F. R.
Peruzzi, N. J.
Powiązania:
https://bibliotekanauki.pl/articles/281518.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
energy harvesting
efficiency
control
non-ideal excitation
Opis:
The dynamic model of a linear energy harvester excited by a non-ideal power source is coupled to a controller to maximum vibration adjustment. Numerical analysis is taken to evaluate the energy harvested keeping the vibration optimized for the maximum interaction to the energy source using linear matrix inequalities for control driven. The dimensionless power output, actuation power and net output power is determined. As a result, it is possible to verify that the total energy harvested via exogenous vibration using the proposed controller is increased up to 65 times when in comparison to the open loop system.
Źródło:
Journal of Theoretical and Applied Mechanics; 2015, 53, 3; 605-616
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Active suspension system with integrated electrical tubular linear motor: design, control strategy and validation
Autorzy:
Thul, A.
Eggers, D.
Riemer, B.
Hameyer, K.
Powiązania:
https://bibliotekanauki.pl/articles/141477.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
active vehicle suspension
tubular linear electric drive
electric motor control
Opis:
This paper focuses on the design and control of an active suspension system, where a tubular linear motor is integrated into a spring damper system of a vehicle. The spring takes up the weight of the vehicle. Therefore the electric linear motor can be designed very compact as it has to provide forces to adjust the damping characteristic only. Design and construction of the active suspension system, a control strategy and validation measurements at a test bench are presented.
Źródło:
Archives of Electrical Engineering; 2015, 64, 4; 605-616
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Maximizing performance of linear model predictive control of glycemia for T1DM subjects
Autorzy:
Dodek, Martin
Miklovicová, Eva
Powiązania:
https://bibliotekanauki.pl/articles/2134885.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
diabetes mellitus
artificial pancreas
glycemia control
predictive control
constrained optimization
control feasibility
Opis:
The primary objective of this paper is the custom design of an effective, yet relatively easy-to-implement, predictive control algorithm to maintain normoglycemia in patients with type 1 diabetes. The proposed patient-tailorable empirical model featuring the separated feedback dynamics to model the effect of insulin administration and carbohydrate intake was proven to be suitable for the synthesis of a high-performance predictive control algorithm for artificial pancreas. Within the introduced linear model predictive control law, the constraints were applied to the manipulated variable in order to reflect the technical limitations of insulin pumps and the typical nonnegative nature of the insulin administration. Similarly, inequalities constraints for the controlled variable were also assumed while anticipating suppression of hypoglycemia states during the automated insulin treatment. However, the problem of control infeasibility has emerged, especially if one uses too tight constraints of the manipulated and the controlled variable concurrently. To this end, exploiting the Farkas lemma, it was possible to formulate the helper linear programming problem based on the solution of which this infeasibility could be identified and the optimality of the control could be restored by adapting the constraints. This adaptation of constraints is asymmetrical, thus one can force to fully avoid hypoglycemia at the expense of mild hyperglycemia. Finally, a series of comprehensive in-silico experiments were carried out to validate the presented control algorithm and the proposed improvements. These simulations also addressed the control robustness in terms of the intersubject variability and the meal announcements uncertainty.
Źródło:
Archives of Control Sciences; 2022, 32, 2; 305--333
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An observer-based control of linear systems with uncertain parameters
Autorzy:
Rachik, M.
Lhous, M.
Powiązania:
https://bibliotekanauki.pl/articles/229793.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
observer-based control
stability
uncertain linear systems
Opis:
In this paper, the observer-based control for a class of uncertain linear systems is considered. Exponential stabilizability for the system is studied and reduced-order observer is discussed. Numerical examples are given to illustrate obtained results.
Źródło:
Archives of Control Sciences; 2016, 26, 4; 565-576
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust Control of Linear Stochastic Systems with Fully Observable State
Autorzy:
Poznyak, Alexander
Taksar, M.
Powiązania:
https://bibliotekanauki.pl/articles/1339291.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
robust control
Riccati equation
stochastic differential equations
stochastic control
Opis:
We consider a multidimensional linear system with additive inputs (control) and Brownian noise. There is a cost associated with each control. The aim is to minimize the cost. However, we work with the model in which the parameters of the system may change in time and in addition the exact form of these parameters is not known, only intervals within which they vary are given. In the situation where minimization of a functional over the class of admissible controls makes no sense since the value of such a functional is different for different systems within the class, we should deal not with a single problem but with a family of problems. The objective in such a setting is twofold. First, we intend to establish existence of a state feedback linear robust control which stabilizes any system within the class. Then among all robust controls we find the one which yields the lowest bound on the cost within the class of all systems under consideration. We give the answer in terms of a solution to a matrix Riccati equation and we present necessary and sufficient conditions for such a solution to exist. We also state a criterion when the obtained bound on the cost is sharp, that is, the control we construct is actually a solution to the minimax problem.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 1; 35-46
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Time-optimal control of linear fractional systems with variable coefficients
Autorzy:
Matychyn, Ivan
Onyshchenko, Viktoriia
Powiązania:
https://bibliotekanauki.pl/articles/2055161.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fractional calculus
Riemann-Liouville derivative
variable coefficients
optimal control
rachunek ułamkowy
pochodna ułamkowa Riemanna-Liouville'a
współczynnik zmienny
sterowanie optymalne
Opis:
Linear systems described by fractional differential equations (FDEs) with variable coefficients involving Riemann–Liouville and Caputo derivatives are examined in the paper. For these systems, a solution of the initial-value problem is derived in terms of the generalized Peano–Baker series and a time-optimal control problem is formulated. The optimal control problem is treated from the convex-analytical viewpoint. Necessary and sufficient conditions for time-optimal control similar to that of Pontryagin’s maximum principle are obtained. Theoretical results are supported by examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 3; 375--386
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Synchronization of state-feedback-controlled doubly fed induction generator with the grid
Autorzy:
Szypulski, M.
Iwański, G.
Powiązania:
https://bibliotekanauki.pl/articles/202408.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
induction generators
linear quadratic control
state feedback
synchronization
generatory indukcyjne
synchronizacja
sprzężenie zwrotne
regulator liniowo-kwadratowy
Opis:
This paper presents state feedback control with a linear-quadratic regulator of a doubly fed induction generator. Resonant terms are added to the plant model in order to provide disturbance rejection and reference tracking. A new approach to controlling a parameter varying linear model of the induction machine is presented, allowing to apply a linear-quadratic regulator to the doubly fed induction generator. The control scheme described herein is suitable for the doubly fed induction generator operating under unbalanced stator voltage conditions, because the controller with resonant terms is built in the stationary αβ coordinate system. In it, the positive and negative symmetrical sequences have equal frequencies. The paper highlights specific problems associated with state feedback control of the doubly fed induction generator, i.e. the process of generator connection to an unbalanced grid. In contrast with classical voltage-oriented cascade control methods, in state feedback control of a stand-alone doubly fed induction generator there is no separate rotor current controller. This may cause over-current problem during DFIG synchronization with the grid which has been solved in this paper. Voltage synchronization and grid operation of the generator were tested in a laboratory rig with a 7.5 kW wound-rotor induction machine.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 5; 675-685
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Legendre polynomials method in time-optimal control of linear single-input
Autorzy:
Pełczewski, J.
Powiązania:
https://bibliotekanauki.pl/articles/205663.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
wielomiany Legendre'a
Legendre polynomials
single-input linear systems
time-optimal control
Opis:
The paper deals with application of shifted Legendre polynomials in the time-optimal control problem for a linear, time invariant, undisturbed, single-input system. It was assumed that the normality condition of the time-optimal control is satisfied, the state matrix is nonsingular, and all its eigenvalues are real nonpositive. The method of evaluating the approximate swiching instants of the bang-bang control is presented. The proposed computational procedure is based on the solution of algebraic matrix equation, which corresponds to the differential state equation, and was obtained according to the propertyies of Legendre polynomials.
Źródło:
Control and Cybernetics; 1998, 27, 1; 105-117
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question
Autorzy:
Przyłuski, K. M.
Powiązania:
https://bibliotekanauki.pl/articles/329937.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
minimum norm problem
linear quadratic control
linear quadratic economie
controllability
optimal control
sterowanie liniowo-kwadratowe
sterowalność
sterowanie optymalne
Opis:
In a Hilbert space setting, necessary and sufficient conditions for the minimum norm solution u to the equation Su = Rz to be continuously dependent on z are given. These conditions are used to study the continuity of minimum energy and linear-quadratic control problems for infinite dimensional linear systems with fixed endpoints.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 4; 723-733
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Event-based feedforward control of linear systems with input time-delay
Autorzy:
Rodríguez, Carlos
Aranda-Escolástico, Ernesto
Guinaldo, Maria
Guzmán, José Luis
Dormido, Sebastián
Powiązania:
https://bibliotekanauki.pl/articles/330326.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
time delay system
linear system
process control
control system design
układ z opóźnieniem
układ liniowy
sterowanie procesem
układ regulacji
Opis:
This paper proposes a new method for the analysis of continuous and periodic event-based state-feedback plus static feedforward controllers that regulate linear time invariant systems with time delays. Measurable disturbances are used in both the control law and triggering condition to provide better disturbance attenuation. Asymptotic stability and L2-gain disturbance rejection problems are addressed by means of Lyapunov–Krasovskii functionals, leading to performance conditions that are expressed in terms of linear matrix inequalities. The proposed controller offers better disturbance rejection and a reduction in the number of transmissions with respect to other robust event-triggered controllers in the literature.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 3; 541-553
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Linear adaptive structure for control of a nonlinear MIMO dynamic plant
Autorzy:
Bańka, S.
Dworak, P.
Jaroszewski, K.
Powiązania:
https://bibliotekanauki.pl/articles/329882.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
MIMO multivariable control systems
nonlinear system
modal control
wielowymiarowy układ sterowania
układ nieliniowy
sterowanie modalne
Opis:
In the paper an adaptive linear control system structure with modal controllers for a MIMO nonlinear dynamic process is presented and various methods for synthesis of those controllers are analyzed. The problems under study are exemplified by the synthesis of a position and yaw angle control system for a drillship described by a 3DOF nonlinear mathematical model of low-frequency motions made by the drillship over the drilling point. In the proposed control system, use is made of a set of (stable) linear modal controllers that create a linear adaptive controller with variable parameters tuned appropriately to operation conditions chosen on the basis of two measured auxiliary signals. These are the ship’s current forward speed measured in reference to the water and the systematically calculated difference between the course angle and the sea current (yaw angle). The system synthesis is carried out by means of four different methods for system pole placement after having linearized the model of low-frequency motions made by the vessel at its nominal “operating points” in steady states that are dependent on the specified yaw angle and the sea current velocity. The final part of the paper includes simulation results of system operation with an adaptive controller of (stepwise) varying parameters along with conclusions and final remarks.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 47-63
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Discrete-time sliding mode control of linear systems with input saturation
Autorzy:
Veselić, Boban
Milosavljević, Čedomir
Peruničić-Draženović, Branislava
Huseinbegović, Senad
Petronijević, Milutin
Powiązania:
https://bibliotekanauki.pl/articles/330574.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
discrete time sliding mode control
super twisting controller
input saturation
disturbance compensation
sterowanie ślizgowe
nasycenie wejściowe
kompensacja zakłóceń
Opis:
The paper proposes a discrete-time sliding mode controller for single input linear dynamical systems, under requirements of the fast response without overshoot and strong robustness to matched disturbances. The system input saturation is imposed during the design due to inevitable limitations of most actuators. The system disturbances are compensated by employing nonlinear estimation by integrating the signum of the sliding variable. Hence, the proposed control structure may be regarded as a super-twisting-like algorithm. The designed system stability is analyzed as well as the sliding manifold convergence conditions are derived using a discrete-time model of the system in the δ-domain. The results obtained theoretically have been verified by computer simulations.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 517-528
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ball-and-beam laboratory system controlled by Simulink model through dedicated microcontrolled-Matlab data exchange protocol
Autorzy:
Nowopolski, K.
Powiązania:
https://bibliotekanauki.pl/articles/97435.pdf
Data publikacji:
2013
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
beam-and-ball
interface
MATLAB
Simulink
stepper motor
SimMechanics
linear position control
microcontroller
32-bit microcontroller
LQR control law
Opis:
A ball balancing on a beam is a perfect platform for demonstration various control strategies. The task is to place ball rolling freely, in a reference position along the beam driven by a motor, rejecting disturbances. The research system consists of mechanical platform with stepper motor and two infrared ball position sensors, power supply and electronic controller based on a 32-bit microcontroller connected to Matlab/Simulink software running the main control algorithm. Designed in Simulink input and output subsystem blocks contain all functions required to provide data exchange with microprocessor controller of the mechanical system. Developed data exchange protocol and its implementation both in microcontroller software and Simulink subsystems allow to use this complete system for educational purposes: the controller designer is free to develop supervisory control layer, not going into details of system operation. The results of system operation with P, PD and LQR control laws are shown at the end of this paper.
Źródło:
Computer Applications in Electrical Engineering; 2013, 11; 310-320
1508-4248
Pojawia się w:
Computer Applications in Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Error estimates for finite element approximations of elliptic control problems
Autorzy:
Alt, Walter
Bräutigam, Nils
Rösch, Arnd
Powiązania:
https://bibliotekanauki.pl/articles/729441.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Linear quadratic optimal control problems
elliptic equations
finite element approximations
error estimates
Opis:
We investigate finite element approximations of one-dimensional elliptic control problems. For semidiscretizations and full discretizations with piecewise constant controls we derive error estimates in the maximum norm.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 1; 7-22
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of the structural and total energy efficiency of selected hydraulic systems with proportional control linear motor
Autorzy:
Skorek, G.
Powiązania:
https://bibliotekanauki.pl/articles/247433.pdf
Data publikacji:
2016
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
energy efficiency
power of losses
hydrostatic system
throttling steering
pump
hydraulic linear motor
proportional directional valve
Opis:
In the paper are presented the diagrams of the structural energy efficiency of system with the throttling control assembly and total energy efficiency of the system with constant or variable capacity pump cooperating an overflow valve with the throttling control of the linear hydraulic motor. Diagrams of total energy efficiency of three hydraulic systems working at the same parameters of speed and load of hydraulic linear motor, which were different due to structure and ability of energy saving were presented and compared. This publication also presents analyses and compares the areas of the power fields of energy losses occurring in the elements of three compared hydraulic systems with different structures of the hydraulic linear motor speed control on example on Load Sensing system. The graphical interpretation of the power of losses in the hydrostatic drive and control system elements lets to compare the same power fields of energy losses with other power fields of another structure. This enables to understand what energy losses are the biggest and in which elements of compared hydraulic systems. The best possibility to use in system, as a supply source of the hydraulic cylinder speed series throttling control assembly, is a set consisting of a variable capacity pump cooperating with a Load Sensing (LS) regulator, which totally eliminates the structural volumetric losses in a system. Power ΔPstv of structural volumetric losses is equal to zero, because the current pump capacity QP is adjusted, by the LS regulator, to the current flow intensity QM set by the throttling assembly.
Źródło:
Journal of KONES; 2016, 23, 2; 317-324
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lipschitz stability of solutions to parametric optimal control for elliptic equations
Autorzy:
Malanowski, K.
Troeltzsch, F.
Powiązania:
https://bibliotekanauki.pl/articles/205516.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
równanie eliptyczne
stabilność
sterowanie optymalne
elliptic equation
generalized equations
Lipschitz stability of the solutions
non-linear boundary control
parametric optimal control
Opis:
: A family of parameter dependent elliptic optimal control problems with nonlinear boundary control is considered. The control function is subject to amplitude constraints. A characterization of conditions is given under which solutions to the problems exist, are locally unique and Lipschitz continuous in a neighborhood of the reference value of the parameter.
Źródło:
Control and Cybernetics; 2000, 29, 1; 237-256
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Linear q-Difference Fractional-Order Control Systems with Finite Memory
Autorzy:
Mozyrska, D.
Pawłuszewicz, E.
Powiązania:
https://bibliotekanauki.pl/articles/387319.pdf
Data publikacji:
2011
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
obserwowalność
możliwość kontroli
pamięć
układ sterowania
memory
control system
observability
controllability
Opis:
The formula for the solution to linear q-difference fractional-order control systems with finite memory is derived. New definitions of observability and controllability are proposed by using the concept of extended initial conditions. The rank condition for observability is established and the control law is stated.
Źródło:
Acta Mechanica et Automatica; 2011, 5, 2; 69-73
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical error bound of optimal control for homogeneous linear systems
Autorzy:
Daraghmeh, Adnan
Qatanani, Naji
Powiązania:
https://bibliotekanauki.pl/articles/229410.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
time-invariant systems
quadratic cost function
linear quadratic regulator
algebraic Riccati equation
Hamiltonian function
L2 norm
Opis:
In this article we focus on the balanced truncation linear quadratic regulator (LQR) with constrained states and inputs. For closed-loop, we want to use the LQR to find an optimal control that minimizes the objective function which called "the quadratic cost function” with respect to the constraints on the states and the control input. In order to do that we have used formal asymptotes for the Pontryagin maximum principle (PMP) and we introduce an approach using the so called The Hamiltonian Function and the underlying algebraic Riccati equation. The theoretical results are validated numerically to show that the model order reduction based on open-loop balancing can also give good closed-loop performance.
Źródło:
Archives of Control Sciences; 2019, 29, 2; 323-337
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI based control design for linear systems with distributed time delays
Autorzy:
Filasova, A.
Gontkovič, D.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/229820.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear matrix inequality
systems with distributed time delays
Lyapunov-Krasovskii functional
state control
asymptotic stability
Opis:
The paper concerns the problem of stabilization of continuous-time linear systems with distributed time delays. Using extended form of the Lyapunov-Krasovskii functional candidate, the controller design conditions are derived and formulated with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. The result give sufficient condition for stabilization of the system with distributed time delays. It is illustrated with a numerical example to note reduced conservatism in the system structure.
Źródło:
Archives of Control Sciences; 2012, 22, 2; 217-231
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Two-level stochastic control for a linear system with nonclassical information
Autorzy:
Duda, Z.
Brandys, W.
Powiązania:
https://bibliotekanauki.pl/articles/907409.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie stochastyczne
informacja nieklasyczna
struktura hierarchiczna
stochastic control
nonclassical information
hierarchical structure
Opis:
A problem of control law design for large scale stochastic systems is discussed. Nonclassical information pattern is considered. A two-level hierarchical control structure with a coordinator on the upper level and local controllers on the lower level is proposed. A suboptimal algorithm with a partial decomposition of calculations and decentralized local control is obtained. A simple example is presented to illustrate the proposed approach.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 2; 161-166
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Error estimates for the finite-element approximation of an elliptic control problem with pointwise state and control constraints
Autorzy:
Meyer, C.
Powiązania:
https://bibliotekanauki.pl/articles/971011.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
równanie eliptyczne
aproksymacja numeryczna
linear quadratic optimal control problems
elliptic equations
state constraints
numerical approximation
Opis:
We consider a linear-quadratic elliptic optimal control problem with pointwise state constraints. The problem is fully discretized using linear ansatz functions for state and control. Based on a Slater-type argument, we investigate the approximation behavior for mesh size tending to zero. The obtained convergence order for the L²-error of the control and for H 1-error of the state is 1 - ε in the two-dimensional case and 1/2 - ε in three dimensions, provided that the domain satisfies certain regularity assumptions. In a second step, a state-constrained problem with additional control constraints is considered. Here, the control is discretized by constant ansatz functions. It is shown that the convergence theory can be adapted to this case yielding the same order of convergence. The theoretical findings are confirmed by numerical examples.
Źródło:
Control and Cybernetics; 2008, 37, 1; 51-83
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fixed final time optimal adaptive control of linear discrete-time systems in input-output form
Autorzy:
Zhao, Q.
Xu, H.
Jagannathan, S.
Powiązania:
https://bibliotekanauki.pl/articles/91798.pdf
Data publikacji:
2013
Wydawca:
Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
Tematy:
fixed final time
discrete-time linear system
adaptive control
adaptive regulation
input/output form
Opis:
In this paper, the fixed final time adaptive optimal regulation of discrete-time linear systems with unknown system dynamics is addressed. First, by transforming the linear systems into the input/output form, the adaptive optimal control design depends only on the measured outputs and past inputs instead of state measurements. Next, due to the time-varying nature of finite-horizon, a novel online adaptive estimator is proposed by utilizing an online approximator to relax the requirement on the system dynamics. An additional error term corresponding to the terminal constraint is defined and minimized overtime. No policy/value iteration is performed by the novel parameter update law which is updated once a sampling interval. The proposed control design yields an online and forward-in-time solution which enjoys great practical advantages. Stability of the system is demonstrated by Lyapunov analysis while simulation results verify the effectiveness of the propose approach.
Źródło:
Journal of Artificial Intelligence and Soft Computing Research; 2013, 3, 3; 175-187
2083-2567
2449-6499
Pojawia się w:
Journal of Artificial Intelligence and Soft Computing Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fixed terminal time fractional optimal control problem for discrete time singular system
Autorzy:
Chiranjeevi, Tirumalasetty
Devarapalli, Ramesh
Babu, Naladi Ram
Vakkapatla, Kiran Babu
Rao, R. Gowri Sankara
Garcìa Màrquez, Fausto Pedro
Powiązania:
https://bibliotekanauki.pl/articles/2175112.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional order differential equation
discrete time singular system
fractional derivative
linear quadratic optimal control problem
Opis:
This paper presents the formulation and numerical simulation for linear quadratic optimal control problem (LQOCP) of free terminal state and fixed terminal time fractional order discrete time singular system (FODSS). System dynamics is expressed in terms of Riemann-Liouville fractional derivative (RLFD), and performance index (PI) in terms of state and costate. Because of its complexity, finding analytical and numerical solutions to singular system (SS) is difficult. As a result, we use coordinate transformation to convert FODSS to its corresponding fractional order discrete time nonsingular system (FODNSS). After that, we obtain the necessary conditions by employing a Hamiltonian approach. The relevant conditions are solved using the general solution approach. For the analysis of formulation and solution algorithm, a numerical example is illustrated. Results are obtained for various values. According to state of the art, this is the first time that a formulation and numerical simulation of free terminal state and fixed terminal time optimal control problem (OCP) of FODSS is presented.
Źródło:
Archives of Control Sciences; 2022, 32, 3; 489--506
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximate constrained controllability of mechanical system
Sterowanie minimalno-czasowe manipulatorów hydraulicznych po zadanej ścieżce
Autorzy:
Klamka, J.
Powiązania:
https://bibliotekanauki.pl/articles/279817.pdf
Data publikacji:
2005
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
linear infinite-dimensional control systems
mechanical flexible structure vibratory systems
controllability of abstract dynamical systems
Opis:
In the present paper approximate constrained controllability of linear abstract second-order infinite-dimensional dynamical control systems is considered. First, fundamental definitions and notions are recalled. Next it is proved, using the so-called frequency-domain method, that approximate constrained controllability of second-order dynamical control system can be verified by the approximate constrained controllability conditions for the simplified, suitably defined first-order linear dynamical control system. General results are then applied for approximate constrained controllability investigation of mechanical flexible structure vibratory dynamical system. Some special cases are also considered. Moreover, many remarks, comments and corollaries on the relationships between different concepts of approximate controllability are given. Finally, the obtained results are applied for investigation of approximate constrained controllability for flexible mechanical structure. In this case linear second-order partial differential state equation describes the transverse motion of an elastic beam which occupies the given finite interval.
Praca przedstawia metodę optymalizacji minimalno-czasowej ruchów manipulatorów hydraulicznych, po zadanej ścieżce członu roboczego. Zakładane jest, że ścieżka członu roboczego jednoznacznie określa odpowiadającą jej ścieżkę manipulatora w zmiennych uogólnionych. Optymalizacja sprowadza się wówczas do znalezienia optymalnego rozkładu parametru ścieżki w czasie. Proponowana metoda optymalizacji polega na przybliżeniu ciągłego rozkładu parametru zbiorem punktów, a następnie znalezieniu ich optymalnych położeń metodami programowania nieliniowego z ograniczeniami. Zakładana jest przy tym nieściśliwość cieczy hydraulicznej, w celu przyspieszenia obliczeń. Załączone są wyniki przykładowych optymalizacji, wykonanych na modelu trójczłonowej koparki hydraulicznej.
Źródło:
Journal of Theoretical and Applied Mechanics; 2005, 43, 3; 539-554
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Algebraic forms of solutions of linear state equations for determined control vectors
Autorzy:
Porada, Ryszard
Mielczarek, Norbert
Powiązania:
https://bibliotekanauki.pl/articles/376440.pdf
Data publikacji:
2020
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
state equation
solutions of state equations
algebraic forms
Opis:
Despite intensive development of numerical methods of resolution of ordinary differential equations, we still seek analytical solutions of these equations in the algebraic form. The analytical solution in an algebraic form, is very convenient in case of investigation of the course of solution in a large interval of changes of parameters, it also gives more qualitative informations. This concerns first of all linear equations which are the most often met models of physical objects. Important advantage of these solutions is also their open form regarding established state of the system. The paper proves existence of algebraic forms of solutions of control vectors with components: exponential, sinusoidal with different circular frequencies and sinusoidal multiple. Also solutions for other kind of control vectors which are mentioned in the literature are presented.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2020, 104; 75-86
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The linear-quadratic stochastic optimal control problem with random horizon at the finite number of infinitesimal events
Autorzy:
Kozłowski, Edward
Powiązania:
https://bibliotekanauki.pl/articles/764285.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Źródło:
Annales Universitatis Mariae Curie-Skłodowska. Sectio AI, Informatica; 2010, 10, 1
1732-1360
2083-3628
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska. Sectio AI, Informatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non‐linear model‐based predictive control for trajectory tracking and control effort minimization in a smartphone‐based quadrotor
Autorzy:
García, Luis
Rosero, Esteban
Powiązania:
https://bibliotekanauki.pl/articles/27314228.pdf
Data publikacji:
2022
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
quadrotor
model-based predictive control
smartphone
trajectory tracking
energy consumption
Opis:
In this paper, the design and implementation of a nonlinear model‐based predictive controller (NMPC) for predefined trajectory tracking and to minimize the control effort of a smartphone‐based quadrotor are developed. The optimal control actions are calculated in each iteration by means of an optimal control algorithm based on the non‐linear model of the quadrotor, considering some aerodynamic effects. Control algorithm implementation and simulation tests are executed on a smartphone using the CasADi framework. In addition, a technique for estimating the energy consumed based on control signals is presented. NMPC controller performance was compared with other works developed towards the con‐ trol of quadrotors, based on an H∞ controller and an LQI controller, and using three predefined trajectories, where the NMPC average tracking error was around 50% lower, and average estimated power and energy consumption slightly higher, with respect to the H∞ and LQI controllers.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2022, 16, 4; 13--18
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finite element error analysis for state-constrained optimal control of the Stokes equations
Autorzy:
Los Reyes, J. C. de
Meyer, C.
Vexler, B.
Powiązania:
https://bibliotekanauki.pl/articles/969607.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
równanie Stokesa
aproksymacja numeryczna
element skończony
linear quadratic optimal control problems
Stokes equations
state constraints
numerical approximation
finite elements
Opis:
An optimal control problem for 2d and 3d Stokes equations is investigated with pointwise inequality constraints on the state and the control. The paper is concerned with the full discretization of the control problem allowing for different types of discretization of both the control and the state. For instance, piecewise linear and continuous approximations of the control are included in the present theory. Under certain assumptions on the L∞-error of the finite element discretization of the state, error estimates for the control are derived which can be seen to be optimal since their order of convergence coincides with the one of the interpolation error. The assumptions of the L∞-finite-eleinent-error can be verified for different numerical settings. Finally the results of two numerical experiments are presented.
Źródło:
Control and Cybernetics; 2008, 37, 2; 251-284
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Zastosowanie liniowego dżojstika dotykowego do sterowania napędem elektrohydraulicznym
Application of linear haptic joystick in control of electrohydraulic drive
Autorzy:
Milecki, A.
Chciuk, M.
Bachman, P.
Powiązania:
https://bibliotekanauki.pl/articles/277328.pdf
Data publikacji:
2011
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
układy sterowania
napędy elektrohydrauliczne
control systems
electrohydraulic drives
Opis:
W artykule opisano układ sterowania napędem elektrohydraulicznym z siłowym sprzężeniem zwrotnym. Przedstawiono budowę i wyniki badań dotykowego dżojstika liniowego z cieczą magnetoreologiczną. Artykuł zawiera także wyniki badań doświadczalnych procesu sterowania napędem elektrohydraulicznym za pomocą dżojstika dotykowego z cieczą magnetoreologiczną przy pomocy trzech różnych algorytmów sterowania.
The article describes control system of electrohydraulic drive with force feedback. The structure of linear haptic joystick and their research basic results are presented. The article encompasses also investigation results of three control methods of electrohydraulic servo drive made by haptic joystick with magnetorheological brake.
Źródło:
Pomiary Automatyka Robotyka; 2011, 15, 2; 744-753
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control in linear systems without the condition of regular controllability
Sterowania optymalne w liniowych układach nie spełniających warunku regularnej sterowalności
Autorzy:
Niewinowska-Jacak, D.
Powiązania:
https://bibliotekanauki.pl/articles/740833.pdf
Data publikacji:
1982
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Applicationes Mathematicae; 1980-1983, 17, 3; 473-479
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Synteza regulatora minimalnoczasowego w oscylacyjnych systemach liniowych drugiego rzędu
Synthesis of timeoptimal control in the linear oscillation systems of the second order
Autorzy:
Ślusarczyk, A.
Kwiczala, M.
Powiązania:
https://bibliotekanauki.pl/articles/157854.pdf
Data publikacji:
2005
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
sterowanie minimalnoczasowe
liczba przełączeń
time optimal control
number of switches
Opis:
W artykule zaprezentowano regulator minimalnoczasowy w oscylacyjnych systemach liniowych drugiego rzędu oraz liczbę przełączeń. Liczba przełączeń jest wyznaczana w zależności od warunków początkowych oraz przy założeniu stałych współczynników równania różniczkowego.
In the article the timeoptimal control in the linear oscillation systems of the second order is considered. The exact number of switches is deter-mined as a function of the initial conditions and to assume the coefficients of differential equation are constant.
Źródło:
Pomiary Automatyka Kontrola; 2005, R. 51, nr 11, 11; 21-24
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analiza ARN-RPID z Warstwą Tranzycji Petriego w sterowaniu silnikiem liniowym z magnesami trwałymi
Analysis of PID type ANFC with Petri Transition Layer for linear permanent magnet motor control
Autorzy:
Derugo, P.
Kacerka, J.
Jastrzębski, M.
Szabat, K.
Powiązania:
https://bibliotekanauki.pl/articles/377674.pdf
Data publikacji:
2015
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
Warstwa Tranzycji Petriego
silnik liniowy
adaptacyjny regulator neuronowo-rozmyty
rozmyty
Opis:
Pierwsza część artykułu jest częścią teoretyczną. Opisano w niej zasadę działania rozważanego Adaptacyjnego Regulatora Neuronowo-Rozmytego (ARN-R) z Warstwą Tranzycji Petriego (WTP). Przeanalizowano wpływ WTP na działanie i złożoność obliczeniową algorytmu, a także rozważania na temat stabilności i zbieżności algorytmu. W części drugiej – eksperymentalnej, po krótce opisano obiekt badawczy w postaci silnika liniowego zasilanego z falownika. Następnie przeanalizowano wyniki uzyskane w trakcie badań eksperymentalnych. W końcowej części przedstawiono wnioski płynące z przeprowadzonych badań.
The first part of the paper is theoretical. It describes operation principle of an Adaptive Neuro Fuzzy Controller (ANFC) with Petri Transition Layer (PTL). The influence of PTL on performance and numerical complexity of the algorithm is analyzed. Also discussion on algorithm stability and convergence condition has been made. Second part is experimental. The object consisting of linear permanent magnet motor with inverter has been described. Afterwards experimental results have been analyzed. Eventually summary and conclusions have been presented.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2015, 83; 31-38
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wykorzystanie koncepcji sterowania skalą czasu do syntezy sterowań dla liniowych i nieliniowych układów dynamicznych
Application of idea of time-scale control to synthesis of control signals for linear and nonlinear objects
Autorzy:
Grzywacz, B.
Powiązania:
https://bibliotekanauki.pl/articles/152991.pdf
Data publikacji:
2010
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
sterowanie obiektami liniowymi i nieliniowymi
skalowanie czasowe odpowiedzi układów dynamicznych
sterowanie z użyciem modelu obiektu
control of linear and nonlinear objects
time-scaling of system responses
control based on object model
Opis:
W pracy przedstawiono nową koncepcję sterowania obiektami dynamicznymi, tak liniowymi jak i nieliniowymi, poprzez sterowanie skalą czasu wyjścia obiektu. Zaproponowano implementację tej koncepcji w ramach zmodyfikowanej struktury MFC. Wskazano korzystne własności charakteryzujące jakość regulacji w przypadku stosowania sterowań opartych o reguły skalowania czasowego. Rozważania ilustrowane są przykładami.
A new concept of control of objects described by state equation system (1) or equivalent ones is proposed. Basing on Eqs. (5),(6) and model (2) shown in Fig. 1, one can determine such an object input U(t) that the output has the form Y(T), where the "new" time T is defined by formula dT=A(t)dt depending on the time-variable, time-scale coefficient A(t). Y(t) is the object response to the reference input for A=1 (see Fig. 3). Signal A(t) is formed on the basis of control system error signal e(t) as the result of static, linear or nonlinear operation A(t)=q(e(t)), where q(0)=0. Thus, using (5),(6) and model (2), one can design the modified MFC structure shown in Fig. 4 for precise control of the object output Y. The principle of control is very simple: if the error reaches the value e(t)=A(t)=0, then the object model in Fig. 1 can be treated as decoupled, values of its state variables remain the same and model output y remains the same, too. Because Y follows y (Fig. 4), the changes of the object output Y do not occur. If e(t)=A(t) 0, then y and Y tend to the reference signal yo and the rate of this follow-up action depends on the choice of q(e(t)). During this process the consecutive values of the model and object output are y(T) and Y(T). This means, that the "reference" plant response Y(t) for A=1 exactly defines Y(T). The mentioned above properties generate an extremely simple way for analysis of the system stability and allow obtaining perfect results of the follow-up action (lack of overshoots, short setting times) - see Figs. 5, 6.
Źródło:
Pomiary Automatyka Kontrola; 2010, R. 56, nr 11, 11; 1348-1352
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Proper feedback compensators for a strictly proper plant by polynomial equations
Autorzy:
Callier, F. M.
Kraffer, F.
Powiązania:
https://bibliotekanauki.pl/articles/908450.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
liniowy układ stacjonarny
sprzężenie zwrotne
macierz wielomianowa
równanie wielomianowe
linear time-invariant feedback control systems
polynomial matrix systems
row-column-reduced polynomial matrices
feedback compensator design
flexible belt device
Opis:
We review the polynomial matrix compensator equation XlDr + YlNr = Dk (COMP), e.g. (Callier and Desoer, 1982, Kučera, 1979; 1991), where (a) the right-coprime polynomial matrix pair (Nr,Dr) is given by the strictly proper rational plant right matrix-fraction P = NrD-1 r , (b) Dk is a given nonsingular stable closed-loop characteristic polynomial matrix, and (c) (Xl, Yl) is a polynomial matrix solution pair resulting possibly in a (stabilizing) rational compensator given by the left fraction C = X-1 l Yl. We recall first the class of all polynomial matrix pairs (Xl, Yl) solving (COMP) and then single out those pairs which result in a proper rational compensator. An important role is hereby played by the assumptions that (a) the plant denominator Dr is column-reduced, and (b) the closed-loop characteristic matrix Dk is row-column-reduced, e.g., monically diagonally degree-dominant. This allows us to get all solution pairs (Xl, Yl) giving a proper compensator with a row-reduced denominator Xl having (sufficiently large) row degrees prescribed a priori. Two examples enhance the tutorial value of the paper, revealing also a novel computational method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 493-507
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fuzzy logic gain scheduling for non-linear servo tracking
Autorzy:
Brdyś, M. A.
Littler, J. J.
Powiązania:
https://bibliotekanauki.pl/articles/908000.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
elektrotechnika
tracking
servo control
gain scheduling
fuzzy logic
stiction friction
hard non-linearities
Opis:
This paper proposes the use of gain scheduling as a method of controlling a servo system with hard non-linear elements. The servo controls two elements of a tracker mounted on a ship at sea. There is stiction at the zero velocity point and non-linear friction against the motion of each tracker axis. A dual feedback loop control structure is employed. Fuzzy logic is used to provide smoothly varying non-linear scheduling functions to map the velocity of the servo relevant to the deck of the ship onto the rate loop controller parameters. Consideration is given to the use of a derivative signal as a secondary input to the fuzzy inference system. Results are presented which demonstrate that this method of controlling the servo system gives a dramatic improvement over the traditional linear control methodology for low velocity tracking performance. A linear PID controller is used in the outer loop and its design is also given some consideration.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 2; 209-219
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decentralized PID control by using GA optimization applied to a quadrotor
Autorzy:
Hasseni, S. E. I.
Abdou, L.
Powiązania:
https://bibliotekanauki.pl/articles/384905.pdf
Data publikacji:
2018
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
quadrotor
non-linear systems
decentralized control
PID
optimization
genetic algorithm
systemy nieliniowe
kontrola zdecentralizowana
optymalizacja
algorytm genetyczny
Opis:
Quadrotors represent an effective class of aerial robots because of their abilities to work in small areas. We suggested in this research paper to develop an algorithm to control a quadrotor, which is a nonlinear MIMO system and strongly coupled, by a linear control technique (PID), while the parameters are tuned by the Genetic Algorithm (GA). The suggested technique allows a decentralized control by decoupling the linked interactions to effect angles on both altitude and translation position. Moreover, the using a meta-heuristic technique enables a certain ability of the system controllers design without being limited by working on just the small angles and stabilizing just the full actuated subsystem. The simulations were implemented in MATLAB/Simulink tool to evaluate the control technique in terms of dynamic performance and stability. Although the controllers design (PID) is simple, it shows the effect of the proposed technique in terms of tracking errors and stability, even with large angles, subsequently, high velocity response and high dynamic performances with practically acceptable rotors speed.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2018, 12, 2; 33-44
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Skalowanie czasowe odpowiedzi układów ciągłych z wykorzystaniem ich dyskretnych modeli
Time-scaling of continuous-time system responses with use of signals obtained in dedicated discrete-time structures
Autorzy:
Grzywacz, B.
Powiązania:
https://bibliotekanauki.pl/articles/156823.pdf
Data publikacji:
2009
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
skalowanie czasowe odpowiedzi układów SISO dyskretnych i ciągłych
algorytmy sterowania dla układów liniowych i nieliniowych
time scaling of responses of discrete-time and continuous-time SISO systems
algorithms for control of linear and nonlinear systems
Opis:
Przedstawiono ideę skalowania czasowego odpowiedzi liniowych i nieliniowych układów dyskretnych. Pokazano, że otrzymane w oparciu o proponowane algorytmy sygnały skalujące wyjścia modeli dyskretnych układów ciągłych, po wygładzeniu i kalibracji mogą być wykorzystane do skalowania czasowego odpowiedzi układów ciągłych.
The idea of time-scaling of linear and non-linear, discrete-time SISO system output signals is presented in the paper. The final block diagram of scaling is shown in Fig. 2, where A is the time scale coefficient, I is the sample number, and T is the sample time. The output γ(iA-1T) of the element "system" of Fig. 2 is slowed down (01) A-times in relation to the reference output γ(iT), where γ(iT) is the system of Fig. 1 response to the input u(i) described by (1). The "input" and "feedback" correctors (Fig. 2) are defined by algorithms presented in Sections 2, 3, 4. The system (1) can be treated as a discrete model of the continuous-time system for the sample time T. In Section 5 it is shown that the signal uA (Fig. 2) after interpolation and calibration can be used for the time-scaling of the output of the continuous system approximated by model (1). Basing on the proposed idea, one can speed up or slow down the technical system responses when preserving their reference shape. The idea of time-scaling can be applied to design of control algorithms - see example 5.1. In such a case the important properties of the obtained control system, defined in time and frequency domains (overshoot, response form, steady state error, stability margin), do not depend on A. The other ones (transient state duration time, frequency representation) depend on A, however, they can be easily determined if the reference system properties (for A=1) are known.
Źródło:
Pomiary Automatyka Kontrola; 2009, R. 55, nr 5, 5; 301-304
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A quadratic optimal control problem for a class of linear discrete distributed systems
Autorzy:
Rachik, M.
Lhous, M.
El Kahlaoui, O.
Labriji, E.
Jourhmane, H.
Powiązania:
https://bibliotekanauki.pl/articles/908382.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system dyskretny
rozproszony system komputerowy
system liniowy
sterowanie optymalne
discrete distributed system
Hilbert uniqueness method
linear system
optimal control
Opis:
A linear quadratic optimal control problem for a class of discrete distributed systems is analyzed. To solve this problem, we introduce an adequate topology and establish that optimal control can be determined though an inversion of the appropriate isomorphism. An example and a numerical approach are given.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 4; 431-440
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Control Systems Structures and Their Robustness
Struktury układów automatycznej regulacji oraz ich właściwości odpornościowe
Autorzy:
Skoczowski, S.
Powiązania:
https://bibliotekanauki.pl/articles/155256.pdf
Data publikacji:
2003
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
układy automatycznej regulacji
regulacja odporna
Control systems Structures
closed loop systems
robust control
linear systems
Opis:
Linear SISO control structures affected by perturbations and disturbances have been analyzed from the viewpoint of their imput and disturbance sensitivity for the case of known and unknown process time delay. It has been shown that disturbance sensitivity is essential quantity, which differentiates the structuers under study in terms of their sensitivity.
Porównano wrażliwość wejściową oraz zakłóceniową liniowych struktur SISO układów regulacji w obecności pertubacji multiplikatywnych oraz zakłóceń sprawdzonych do wyjścia, dla przypadku nieznanego i znanego opóźnienia procesu. Wykazano, że wrażliwość zakłóceniowa decyduje o zróżnicowaniu właściwości odpornościowych rozważonych struktur.
Źródło:
Pomiary Automatyka Kontrola; 2003, R. 49, nr 6, 6; 5-9
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Guaranteed control policy with arbitrary set of correction points for linear-quadratic system with delay
Autorzy:
Chong, K. T.
Kostyukova, O.
Kurdina, M.
Powiązania:
https://bibliotekanauki.pl/articles/969920.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
delayed system
guaranteed optimal control policy
approximative control policy
Opis:
For continuous, uncertain, linear quadratic control system with delayed input, we consider a min-max control policy in which the elements of feedback are present. The feedback is introduced into control optimization by allowing a control to be corrected at a given set of correction points from the control interval. This helps to overcome the feasibility difficulties that arise with standard min-max techniques. We show that construction of the optimal policy involves a sequence of min-max optimizations formulated as dynamic programs that do not yield simple analytical solutions. That is why the paper is mainly focused on construction and justification of suboptimal control policy that can be effectively implemented. Simulated examples demonstrate the proposed approach.
Źródło:
Control and Cybernetics; 2010, 39, 3; 739-768
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The implementation of a coefficient diagram method based polynomial controller for a non-linear process with a distributed control system in a chlorine scrubber system
Implementacja wielomianowego regulatora opartego na metodzie diagramu współczynników dla procesu nieliniowego z rozproszonym systemem sterowania w systemie płuczki chloru
Autorzy:
Murugan, T. Maris
Shankar, T.R. Kiruba
Powiązania:
https://bibliotekanauki.pl/articles/2173816.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Instytut Gospodarki Surowcami Mineralnymi i Energią PAN
Tematy:
chlorination scrubber system
PID controller
distributed control system
DCS
coefficient diagram method
CDM
interacting conical tank
system oczyszczania chloru
regulator PID
rozproszony system sterowania
metoda diagramu współczynników
współpracujący zbiornik stożkowy
Opis:
The seawater desalination process is emerging as a substantial source of fresh water by removing salt and minerals from an infinite supply of seawater effectively. The first stage in a desalination plant is the use of chlorine gas to sterilize the microorganisms in the water. During excess chlorine leakage, an alert is activated, employees are relocated away from the site for a specific period, and dampers will be manually opened. This will cause unsafe working conditions and a waste of time. To overcome this problem, this paper proposes a coefficient diagram method based proportional integral derivative (CDM-PID) control strategy for the tune the control parameter with the distributed control system (DCS) interfaced conical tank. During operation, a 10% NaOH solution is injected into the top of the scrubber column using an ethylene-ter-polymer (ETA) designed distributor to ensure that the solution is evenly distributed across the packing surface. The three control strategies are compared to tune the control parameter with the DCS interfaced conical tank. Instead of the sodium hydroxide tank in the chlorine scrubber system, this work presents the pilot plant of DCS interfaced with two conical tank interacting systems with different liquid level heights. Here, the proposed CDM-PID controller is compared with the standard Ziegler-Nichols (ZN)-ultimate cycling method, and the internal model control (IMC) method. The results demonstrated that the proposed CDM-PID approach is superior to existing approaches in terms of low oscillation, settling period, and high robustness.
Proces odsalania wody morskiej staje się znaczącym źródłem świeżej wody dzięki skutecznemu usuwaniu soli i minerałów z nieskończonych zasobów wody morskiej. Pierwszym etapem w zakładzie odsalania jest użycie chloru gazowego do sterylizacji mikroorganizmów w wodzie. Podczas nadmiernego wycieku chloru zostanie aktywowany alarm, pracownicy zostaną na pewien czas przeniesieni z terenu zakładu, a klapy zostaną ręcznie otwarte. Spowoduje to niebezpieczne warunki pracy i stratę czasu. Aby rozwiązać ten problem, w niniejszym artykule zaproponowano strategię sterowania opartą na metodzie wykresu współczynników proporcjonalno-całkująco-różniczkujących (Coefficient Diagram Method-Proportional Integral Derivative – CDM-PID) w celu dostrojenia parametru sterowania za pomocą zbiornika stożkowego połączonego z rozproszonym systemem sterowania (Distributed Control System – DCS). Podczas pracy do góry płuczki wstrzykuje się 10% roztwór NaOH za pomocą dystrybutora zaprojektowanego z etylenu-ter-polimeru (Ethylene-Ter-Polymer – ETA), aby zapewnić równomierne rozprowadzenie roztworu na powierzchni wypełnienia. Trzy strategie sterowania są porównywane w celu dostrojenia parametru kontrolnego za pomocą zbiornika stożkowego połączonego z DCS. Zamiast zbiornika wodorotlenku sodu w systemie płuczki chloru, w niniejszej pracy przedstawiono Instalację Pilotażową DCS połączoną z dwoma współpracującymi ze sobą stożkowymi układami zbiorników o różnych wysokościach poziomu cieczy. Tutaj, proponowany regulator CDM-PID jest porównywany ze standardową metodą Zieglera-Nicholsa (ZN)-Ultimate Cycling oraz metodą kontroli modelu wewnętrznego (Internal Model Control – IMC). Wyniki pokazały, że proponowane podejście CDM-PID przewyższa istniejące podejścia pod względem niskich oscylacji, okresu osiadania i wysokiej odporności.
Źródło:
Gospodarka Surowcami Mineralnymi; 2022, 38, 4; 231--255
0860-0953
Pojawia się w:
Gospodarka Surowcami Mineralnymi
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Eksperymentalny system OCEAN otwartego sterowania napędami liniowymi
Experimental open control system OCEAN for linear drives
Autorzy:
Domek, S.
Pajor, M.
Pietrusewicz, K.
Urbański, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/269942.pdf
Data publikacji:
2011
Wydawca:
Wrocławska Rada Federacji Stowarzyszeń Naukowo-Technicznych
Tematy:
obrabiarka
serwonapęd
sterowanie CNC
diagnostyka
machine tool
servo drive
CNC control
diagnostics
Opis:
System sterowania OCEAN (Open modular Control system for linEAr motioN drive) jest systemem otwartym, opracowanym i wykonanym w ramach projektu badawczo - rozwojowego R03 042 02. W artykule omówiono strukturę sprzętowa i programową tego systemu oraz funkcjonalność jego modułów z uwzględnieniem funkcji inteligentnych. Będzie on stanowił bazę dla dalszych prac nad konstrukcją i sterowaniem obrabiarką inteligentną.
The paper presents an open control system OCEAN elaborated and carried out in a frame of research - development project R03 042 02, and destination for control machine tool, linear drives, in two axes. The hardware and software structure has been discussed and its modules functionality concerning intelligent functions. The system will be a base for further investigations on design and control of intelligent machine tools.
Źródło:
Inżynieria Maszyn; 2011, R. 16, z. 1/2; 40-49
1426-708X
Pojawia się w:
Inżynieria Maszyn
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimality system POD and a-posteriori error analysis for linear-quadratic problems
Autorzy:
Volkwein, S.
Powiązania:
https://bibliotekanauki.pl/articles/206100.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
model reduction
proper orthogonal decomposition
a-posteriori error estimates
optimality system POD
Opis:
In this paper an abstract linear-quadratic optimal control problem governed by an evolution equation is considered. To solve this problem numerically a reduced-order approach based on proper orthogonal decomposition (POD) is applied. The error between the POD suboptimal control and the optimal control of the original problem is controlled by an a-posteriori error analysis. However, if the POD basis has bad approximation properties, a huge number of POD basis function is required to solve the reduced-order problem with the desired accuracy. To overcome this problem, optimality system POD (OS-POD) is utilized, where the POD basis is chosen with respect to the optimization criteria.
Źródło:
Control and Cybernetics; 2011, 40, 4; 1109-1124
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
State estimate based control design using the unified algebraic approach
Autorzy:
Filasova, A.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/229891.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
state feedback
linear estimation
linear matrix inequalities
constrains
Opis:
The LMI based method for the control with the state estimate, subject to the input variable constraints in the state feedback control of the linear MIMO systems, is presented in the paper. For this problem are obtained the state feedback as well as the estimator gain matrices that capture the required stability by solving the linear matrix inequalities formulated in the sense of the unified algebraic approach. The method is particularly effective when the input variable constraints and the system output are of interest.
Źródło:
Archives of Control Sciences; 2010, 20, 1; 5-18
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Discrete-time Markovian jump linear systems
Autorzy:
Szajowski, K.
Koning, W.
Powiązania:
https://bibliotekanauki.pl/articles/205971.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
proces Markowa
sterowanie optymalne
układ optymalny liniowy
delayed observation
detectability
jump linear systems
Markov chain
optimal control
stabilizability
Opis:
The paper considers a problem of optimal control of a linear system with the parameters dependent on the states of a Markov chain. The cost criterion is quadratic in the controls and states of the system. The criterion parameters also depend on the states of the Markov chain. Two models of observation of the Markov chain are adopted - delay for one step and no delay. It is shown that under appopriate mean square detectability and stabilizability conditions the infinite horizon optimal control problem for the general case of Markovian jump linear quadratic systems has a unigue mean square stabilizing solution. Necessary and sufficient conditions are given to determine if a system is mean square stabilizable.
Źródło:
Control and Cybernetics; 1998, 27, 1; 63-80
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Influence the applied control structure on energy efficiency of the hydrostatic system
Autorzy:
Skorek, G.
Powiązania:
https://bibliotekanauki.pl/articles/245430.pdf
Data publikacji:
2018
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
energy efficiency
power of losses
hydrostatic system
throttling steering
pump
hydraulic linear motor
proportional directional valve
deck machinery
Opis:
A control system with a proportional directional throttling control valve or a directional control servo valve, controlling a cylinder (linear hydraulic motor) is used in the ship steering gear drive, in the controllable pitch propeller control, in the variable capacity pump control system for hydraulic deck equipment motors or fixed pitch propellers in small ships (for example ferries). The hydraulic system is designed first of all taking into consideration the nominal parameters of the cylinder load and speed. For such parameters, the energy efficiency of the elements and complete system is described. Meanwhile the exploitation conditions can vary in full range changes of the cylinder load and speed coefficients. The article presents a comparison of the energy behaviour of two widespread structures of hydrostatic systems: a standard individual systems with a throttling steering fed by a constant capacity pump. Both hydraulic solutions are described and equations of the total efficiency η of the system are presented. Diagrams of energy efficiency of two hydraulic systems working at the same parameters of a speed and a load of hydraulic linear motor, which were different due to structure are presented and compared, as well ability of energy saving. This publication also presents analyses and compares the areas of the power fields of energy losses occurring in the elements of two hydraulic systems with different structures of the hydraulic linear motor speed control.
Źródło:
Journal of KONES; 2018, 25, 3; 411-418
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analiza przyspieszeń liniowych wahacza zawieszenia kolumnowego w przypadku wystąpienia niewyrównoważenia koła
The effect of control arm design in strut suspension on linear acceleration caused by wheel unbalancing
Autorzy:
Prażnowski, K.
Kołodziej, S.
Hennek, K.
Powiązania:
https://bibliotekanauki.pl/articles/313994.pdf
Data publikacji:
2017
Wydawca:
Instytut Naukowo-Wydawniczy "SPATIUM"
Tematy:
wahacz
hamownia podwoziowa
zawieszenie pojazdu
arm
chassis dynamometer
vehicle suspension
Opis:
Zamocowanie wahaczy przedniego zawieszenia za pomocą elastycznych elementów gumowych, w znacznym stopniu wpływa na komfort i bezpieczeństwo jazdy oraz na zużycie elementów układu jezdnego. W artykule przedstawiono podstawowe sposoby mocowań oraz ich ogólne charakterystyki sztywności. Przy użyciu hamowni podwoziowej eliminując losowe nierówności drogi, przeprowadzono szereg badań określających przyspieszenia przemieszczeń liniowych wahacza. Pomiary przeprowadzono przy użyciu samochodów osobowych wyposażonych w dwa, różnego rodzaju wahacze, których charakterystyki przedstawiono w pracy.
Mounting of the front control arms with the use of elastic rubber elements significantly affects driving safety, comfort and wear of drivetrain components. The article presents basic mounting concept and their general stiffness characteristics. Experimental research with the aim of determining accelerations during linear movements of a control arm was conducted with the use of chassis dynamometer, which eliminates road unevenness. Two types of passenger cars with different control arm designs were used for research purposes.
Źródło:
Autobusy : technika, eksploatacja, systemy transportowe; 2017, 18, 6; 1041-1044, CD
1509-5878
2450-7725
Pojawia się w:
Autobusy : technika, eksploatacja, systemy transportowe
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adaptive control of continuous time linear stochastic system with quadratic cost functional
Autorzy:
Czornik, Adam
Powiązania:
https://bibliotekanauki.pl/articles/748052.pdf
Data publikacji:
1996
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Stochastic learning and adaptive control
Adaptive control
Opis:
Praca składa się z czterech części. W części pierwszej sformułowano i podano rozwiązanie zagadnienia sterowania optymalnego w liniowym układzie stochastycznym z kwadratowym funkcjonałem kosztów na skończonym i nieskończonym przedziale czasowym. Twierdzenie 1, podające postać sterowania optymalnego na skończonym przedziale czasowym, jest dobrze znane ([l], [5]), natomiast twierdzenie 2 jest uogólnieniem znanych rezultatów. Zwykle formułuje się je przy założeniach gwarantujących istnienie i jedyność rozwiązania algebraicznego równania Riccatiego ([5], [4]). W tym sformułowaniu w jakim znajduje się w pracy można je znaleźć w [16] ale dla układu deterministycznego. W części drugiej zbadano własności algebraicznego równania Riccatiego. Algebraiczne równanie Riccatiego odgrywa pierwszoplanową rolę w konstrukcji sterowania optymalnego i poświęcono mu wiele uwagi w pracach [2], [4], [13], [15], Twierdzenie 5 pokazuje na jakie trudności możemy natrafić w procedurze adaptacyjnego sterowania, gdy nieznane współczynniki równania Riccatiego będziemy zastępować ich ocenami. Problem ten obszerniej omówiono w [4] i [8]. Głównym wynikiem tej części pracy jest twierdzenie 6, które odgrywa zasadniczą rolę w konstrukcji i dowodzie optymalności sterowania adaptacyjnego. W części trzeciej skonstruowano ocenę największego prawdopodobieństwa dla macierzy liniowej transformacji stanu. Estymator ten pojawił się po raz pierwszy w zagadnieniu sterowania optymalnego w pracy [12]. Wreszcie w czwartej, głównej części pracy podano algorytm sterowania adaptacyjnego oraz dowód jego optymalności (twierdzenie 10). Podany algorytm i dowód jego optymalności są modyfikacją wyników podanych w [6] i [7], Obejmują one ogólniejsze przypadki niż w tych pracach, gdzie zakłada się znajomość domkniętego, spójnego i ograniczonego zbioru, do którego należy oceniany parametr, niemniej uzyskane rezultaty są jeszcze dalekie od analogicznych wyników uzyskanych w pracy [3] dla czasu dyskretnego.
An adaptive control problem for linear, continuous time stochastic system is described and solved in this paper. The unknown parameters in the model appear affinely in the drift term of the stochastic differential equation. The parameter estimates given by the maximum likelihood method are used to define the feedback gain. It is proved that the parameter estimates are strongly consistent and the cost functional reaches its minimum, i.e. the adaptive control is optimal. In this paper the continuity of the solution of the algebraic Riccati equation as a function of coefficient is also verified. The continuity is important for applications to problems in adaptive control.
Źródło:
Mathematica Applicanda; 1996, 25, 39
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł

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