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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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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 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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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 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:
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:
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:
Design approach for high-dynamic planar motion systems based on the principle of Kinematically Coupled Force Compensation
Autorzy:
Ihlenfeldt, Steffen
Müller, Jens
Merx, Marcel
Peukert, Christoph
Powiązania:
https://bibliotekanauki.pl/articles/99642.pdf
Data publikacji:
2019
Wydawca:
Wrocławska Rada Federacji Stowarzyszeń Naukowo-Technicznych
Tematy:
linear motor
control
feed drive
Opis:
Machine tools’ feed dynamics are usually limited in order to reduce excitation of machine structure oscillations. Consequently, the potential increase in productivity provided by direct drives, e.g. linear motors, cannot be exploited. The novel approach of the Kinematically Coupled Force Compensation (KCFC) applies a redundant axis configuration combined with the principle of force compensation and thus achieves an increase in feed dynamics while drive reaction forces cancel out each other in the machine base. In this paper, the principle of KCFC is introduced briefly. Subsequently, the basics for the realisation of a highly dynamic KCFC motion system with planar motion are derived and discussed. In order to achieve highest acceleration (> 100 m/s2) and jerk (> 100000 m/s3), a mechatronic system with specially designed components for the mechanical, electrical and control system is required. Thus, the design approach presented in this paper applies lightweight slides, a decoupled guide frame and voice coil motors operated at high frequencies for the pulse width modulation and control loops.
Źródło:
Journal of Machine Engineering; 2019, 19, 2; 5-17
1895-7595
2391-8071
Pojawia się w:
Journal of Machine Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adaptive control for a jump linear system with quadratic cost
Autorzy:
Czornik, A.
Powiązania:
https://bibliotekanauki.pl/articles/970422.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sterowanie adaptacyjne
adaptive control
jump linear systems
linear quadratic problem
Opis:
The adaptive control problem for a jump linear system with quadratic cost functional on infinite time interval is solved in this paper. It is assumed that the coefficients of the state equation are unknown but a compact set that contains the parameters is known. A diminishing excitation accompanies the adaptive control signal, to ensure the strong consistency of the weighted least squares algorithm.
Źródło:
Control and Cybernetics; 2004, 33, 1; 51-69
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control problems with a fixed terminal time in linear fractional-order systems
Autorzy:
Gomoyunov, M. I.
Powiązania:
https://bibliotekanauki.pl/articles/1403685.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
optimal control
fractional derivatives
linear systems
open-loop control
feedback control
reduction
Opis:
The paper deals with an optimal control problem in a dynamical system described by a linear differential equation with the Caputo fractional derivative. The goal of control is to minimize a Bolza-type cost functional, which consists of two terms: the first one evaluates the state of the system at a fixed terminal time, and the second one is an integral evaluation of the control on the whole time interval. In order to solve this problem, we propose to reduce it to some auxiliary optimal control problem in a dynamical system described by a first-order ordinary differential equation. The reduction is based on the representation formula for solutions to linear fractional differential equations and is performed by some linear transformation, which is called the informational image of a position of the original system and can be treated as a special prediction of a motion of this system at the terminal time. A connection between the original and auxiliary problems is established for both open-loop and feedback (closed-loop) controls. The results obtained in the paper are illustrated by examples.
Źródło:
Archives of Control Sciences; 2020, 30, 4; 721-744
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On fault tolerant control structures incorporating fault estimation
Autorzy:
Krokavec, D.
Filasová, A.
Liščinský, P.
Powiązania:
https://bibliotekanauki.pl/articles/229298.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear systems
fault tolerant control
fault estimation
linear matrix inequalities
H∞ norm
H2/H∞ control strategy
Opis:
The paper provides the minimal necessary modifications of linear matrix inequality conditions for the mixed H2/H∞ control design as well as for the augmented observer-based fault estimation to be mutually compatible in joint design of integrated fault estimation and fault tolerant control. To be possible, within this integration, to design the controller which guarantees a pre-specified H∞ norm disturbance attenuation level, the design conditions has to be regularized using the H2 performance index and, moreover, augmented fault observer must be of enforced dynamics. Analyzing the ambit of performances given on the mixed H2/H∞ design, the joint design conditions are formulated as a minimization problem subject to convex constraints expressed by a system of LMIs. The feasibility of the conditions is demonstrated by a numerical example.
Źródło:
Archives of Control Sciences; 2016, 26, 4; 453-469
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:
Deployment of a predictive-like optimal control law on a servo drive system using linear programming approach
Autorzy:
Horla, Dariusz
Pinczewski, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/27309954.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
constraints
linear programming
optimal control
servo drive
Opis:
Current drive control systems tend to push control loops to the limits of their performance. One of the ways of doing so is to use advanced optimization algorithms, usually related to model-based off-line calculations, such as genetic algorithms, the particle swarmoptimisation or the others. There is, however, a simpler way, namely to use predictive control formalism and by formulation of a simple linear programming problem which is easy to solve using powerful solvers, without excessive computational burden, what is a reliable solution, as whenever the optimization problem has a feasible solution, a global minimizer can be efficiently found. This approach has been deployed for a servo drive system operated by a real-time sampled-data controller, verified between model-in-the-loop and hardwarein- the-loop configurations, for a range of prediction horizons, as an attractive alternative to classical quadratic programming-related formulation of predictive control task.
Źródło:
Archives of Electrical Engineering; 2023, 72, 4; 1005--1016
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fast optimal feedback controller for electric linear actuator used in spreading systems of road spreaders
Autorzy:
Dobrowolski, D.
Dobrowolski, J.
Piekarska, W.
Stępień, S.
Powiązania:
https://bibliotekanauki.pl/articles/201515.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear electric actuator
nonlinear modelling
optimal feedback control
Opis:
Modern and innovative road spreaders are now equipped with a special swiveling mechanism of the spreading disc. It allows for adjusting asymmetrical or a symmetrical spreading pattern and provides for the possibility to maintain the size of the spreading surface and achieve an accurately defined spreading pattern with spreading widths. Thus the paper presents a modelling and control design methodology, and the concept is proposed to design high-performance and optimal drive systems for spreading devices. The paper deals with a nonlinear model of an electric linear actuator and solution of the new intelligent/optimal control problem for the actuator.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 6; 1041-1047
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Explicit commutativity conditions for second-order linear time-varying systems with non-zero initial conditions
Autorzy:
Koksal, Mehmet Emir
Powiązania:
https://bibliotekanauki.pl/articles/229559.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
commutativity
linear systems
analogue control
robust control
differential
equations
non-zero initial conditions
Opis:
Although the explicit commutativitiy conditions for second-order linear time-varying systems have been appeared in some literature, these are all for initially relaxed systems. This paper presents explicit necessary and sufficient commutativity conditions for commutativity of second-order linear time-varying systems with non-zero initial conditions. It has appeared interesting that the second requirement for the commutativity of non-relaxed systems plays an important role on the commutativity conditions when non-zero initial conditions exist. Another highlight is that the commutativity of switched systems is considered and spoiling of commutativity at the switching instants is illustrated for the first time. The simulation results support the theory developed in the paper.
Źródło:
Archives of Control Sciences; 2019, 29, 3; 529-548
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control for a nonstationary linear system with a quadratic cost functional
Autorzy:
Czornik, Adam
Powiązania:
https://bibliotekanauki.pl/articles/747535.pdf
Data publikacji:
1997
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Optimal stochastic control
Problems involving randomness
Linear-quadratic problems
Opis:
.
This paper is about optimal control of infinite-horizon nonstationary stochastic linear processes with a quadratic cost criterion. The synthesis problem of optimal control is solved under the assumptions that the criterion is an average expected cost and that the process' matrices possess limits for the time approaching infinity. Furthermore, the limit matrices are such that the "limit" process is both observable and controllable. The paper documents existence of an optimal feedback control policy. The policy is such that the gain matrix is a (scaled) solution to a Riccati stationary matrix equation. The equation is stationary in that its coefficients are the limits of the process' non-stationary matrices.
Źródło:
Mathematica Applicanda; 1997, 26, 40
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Vibration control in semi-active suspension of the experimental off-road vehicle using information about suspension deflection
Autorzy:
Kasprzyk, J.
Krauze, P.
Budzan, S.
Rzepecki, J.
Powiązania:
https://bibliotekanauki.pl/articles/229215.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
vibration control
magnetorheological damper
linear variable differential transformer
skyhook
Opis:
The efficiency of vibration control in an automotive semi-active suspension system depends on the quality of information from sensors installed in the vehicle, including information about deflection of the suspension system. The control algorithm for vibration attenuation of the body takes into account its velocity as well as the relative velocity of the suspension. In this paper it is proposed to use the Linear Variable Differential Transformer (LVDT) unit to measure the suspension deflection and then to estimate its relative velocity. This approach is compared with a typical solution implemented in such applications, where the relative velocity is calculated by processing signals acquired from accelerometers placed on the body and on the chassis. The experiments performed for an experimental All-Terrain Vehicle (ATV) confirm that using LVDT units allows for improving ride comfort by better vibration attenuation of the body.
Źródło:
Archives of Control Sciences; 2017, 27, 2; 251-261
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new efficient adaptive control of torsional vibrations induced by switched nonlinear disturbances
Autorzy:
Wasilewski, Maciej
Pisarski, Dominik
Konowrocki, Robert
Bajer, Czesław I.
Powiązania:
https://bibliotekanauki.pl/articles/330002.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
vibration control
adaptive control
linear quadratic regulator
drilling control
sterowanie drganiami
sterowanie adaptacyjne
regulator liniowo-kwadratowy
Opis:
Torsional vibrations induced in drilling systems are detrimental to the condition of the machine and to the effectiveness of the engineering process. The cause of vibrations is a nonlinear and unknown friction between a drill string and the environment, containing jumps in its characteristics. Nonlinear behaviour of the friction coefficient results in self-excited vibration and causes undesirable stick-slip oscillations. The aim of this paper is to present a novel adaptive technique of controlling vibrating systems. The scheme is based on the linear quadratic regulator and uses direct measurements of the friction torque to synthesize its linear dynamic approximation. This approach allows generating a control law that takes into account the impact of the friction on the system dynamics and optimally steers the system to the desired trajectory. The controller’s performance is examined via numerical simulations of the stabilization of the drilling system. The proposed solution outperforms the comparative LQG regulator in terms of the minimization of the assumed cost functional and the overall stability of the control system under the nonlinear disturbance.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 2; 285-303
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal design of cylindrical shells
Autorzy:
Nestler, Peter
Schmidt, Werner
Powiązania:
https://bibliotekanauki.pl/articles/729263.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
linear elasticity
shell theory
cylindrical tube
optimal control
shape optimization
Opis:
The present paper studies an optimization problem of dynamically loaded cylindrical tubes. This is a problem of linear elasticity theory. As we search for the optimal thickness of the tube which minimizes the displacement under forces, this is a problem of shape optimization. The mathematical model is given by a differential equation (ODE and PDE, respectively); the mechanical problem is described as an optimal control problem. We consider both the stationary (time independent) and the transient (time dependent) case. P. Nestler derives the model-equations from the Mindlin and Reissner hypotheses. Then, necessary optimality conditions for the optimal control problem are given. Numerical solutions are obtained by FEM, numerical examples are presented.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 2; 253-267
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Experimental testing of active feed drive
Autorzy:
Sveda, J.
Valasek, M.
Sika, Z.
Powiązania:
https://bibliotekanauki.pl/articles/1429193.pdf
Data publikacji:
2008
Wydawca:
Wrocławska Rada Federacji Stowarzyszeń Naukowo-Technicznych
Tematy:
machine tool
testing bed
linear motor
vibration suppression
control loop
Opis:
The main disturbances of the machine tool frame are caused by operation of motion axes. Movement of high dynamic motion axes is connected with powerful force stroke that excite machine tool frame vibration and deteriorate machining surface quality and productivity. There are several possibilities how to suppress this vibration. This deals with the simulation and experimental testing of new advanced conception where the main motor is connected with the frame by an active element that is controlled by intelligent control technique.
Źródło:
Journal of Machine Engineering; 2008, 8, 4; 43-58
1895-7595
2391-8071
Pojawia się w:
Journal of Machine Engineering
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:
The linear programming approach to deterministic optimal control problems
Autorzy:
Hernández-Hernández, Daniel
Hernández-Lerma, Onésimo
Taksar, Michael
Powiązania:
https://bibliotekanauki.pl/articles/1339290.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
linear programming (in infinite-dimensional spaces)
duality theory
optimal control
Opis:
Given a deterministic optimal control problem (OCP) with value function, say $J^*$, we introduce a linear program $(P)$ and its dual $(P^*)$ whose values satisfy $\sup(P^*) \leq\inf(P)\leq J^*(t,x)$. Then we give conditions under which (i) there is no duality gap
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 1; 17-33
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minimum energy control of positive 2D continuous-discrete linear systems with bounded inputs
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/229934.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
2D continuous-discrete
linear
positive
reachability
minimum energy control
Opis:
A new formulation of the minimum energy control problem for the positive 2D continuousdiscrete linear systems with bounded inputs is proposed. Necessary and sufficient conditions for the reachability of the systems are established. Conditions for the existence of the solution to the minimum energy control problem and a procedure for computation of an input minimizing the given performance index are given. Effectiveness of the procedure is demonstrated on numerical example.
Źródło:
Archives of Control Sciences; 2015, 25, 3; 319-331
1230-2384
Pojawia się w:
Archives of Control Sciences
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:
Optimality conditions for a class of optimal boundary control problems with quasilinear elliptic equations
Autorzy:
Casas, E.
Dhamo, V.
Powiązania:
https://bibliotekanauki.pl/articles/206408.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
Neumann boundary control
quasi-linear elliptic equation
Pontryagin principle
second order optimality conditions
Opis:
First- and second-order optimality conditions are established for the boundary optimal control of quasilinear elliptic equations with pointwise constraints on the control. The theory is developed for Neumann controls in polygonal domains of dimension two. For the derivation of second-order sufficient optimality conditions, which is the main goal of this paper, the regularity of the solutions to the state equation and its linearization is studied in detail. Moreover, a Pontryagin principle is proved. The main difficulty in the analysis of these problems is the nonmonotone character of the state equation.
Źródło:
Control and Cybernetics; 2011, 40, 2; 457-490
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
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