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Wyszukujesz frazę "linear control system" wg kryterium: Temat


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:
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:
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:
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:
Power Electronics Harmonic Analysis Based on the Linear Time Periodic Modeling. Applications for AC/DC/AC Power Electronic Interface
Autorzy:
Ignatova, V.
Granjon, P.
Bacha, S.
Powiązania:
https://bibliotekanauki.pl/articles/262566.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie
Tematy:
power system harmonics
power electronic
linear time periodic modeling
PWM
control system
Opis:
This paper presents an analytical frequency-domain method for harmonics modeling and evaluation in power electronic systems. The considered system is described by a set of differential equations, which are converted in the frequency domain and presented in a matrix form. Indeed, currents and voltages are described in terms of Fourier series and arranged in a vector form. The passive elements and the switching functions are then represented by harmonic transfer matrices. The resolution of the matrix equations leads to theoretical time and frequency expressions of the system voltages and currents. This method is applied to a closed-loop three phase AC/DC/AC PWM converter. The control loop of the converter is modeled by additional equations. The spectra of the switching functions, necessary to build the corresponding harmonic transfer matrices, are calculated through a double Fourier series decomposition. The matrix equations are solved and the results are compared to those obtained by real measurements and Matlab/Simulink simulations.
Źródło:
Electrical Power Quality and Utilisation. Journal; 2006, 12, 1; 45-51
1896-4672
Pojawia się w:
Electrical Power Quality and Utilisation. Journal
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:
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:
Persistent bounded disturbance rejection for uncertain time-delay systems
Autorzy:
Sun, M.
Jia, Y.
Powiązania:
https://bibliotekanauki.pl/articles/969712.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
persistent disturbance
time-delay system
linear matrix inequality (LMI)
robust control
Opis:
This paper considers the problem of persistent bounded disturbance rejection for a class of time-delay systems with parametric uncertainty by Lyapunov function and positively invariant set analysis method. Sufficient conditions for internal stability and L1-performance analysis are given in terms of linear matrix inequalities (LMIs). Based on the results, a simple approach to the design of a linear state-feedback controller is presented to stabilize robustly the uncertain time-delay systems and achieve a desired level of disturbance attenuation. All the obtained conditions are delay-dependent. A numerical example is included to illustrate the proposed method.
Źródło:
Control and Cybernetics; 2009, 38, 3; 593-607
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minimum energy control of descriptor discrete-time linear systems by the use of Weierstrass-Kronecker decomposition
Autorzy:
Kaczorek, T.
Borawski, K.
Powiązania:
https://bibliotekanauki.pl/articles/229539.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
descriptor
discrete-time
linear
system
Weierstrass-Kronecker decomposition
minimum energy control
Opis:
The minimum energy control problem for the descriptor discrete-time linear systems by the use of Weierstrass-Kronecker decomposition is formulated and solved. Necessary and sufficient conditions for the reachability of descriptor discrete-time linear systems are given. A procedure for computation of optimal input and a minimal value of the performance index is proposed and illustrated by a numerical example.
Źródło:
Archives of Control Sciences; 2016, 26, 2; 177-187
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An extension of Klamka’s method to positive descriptor discrete-time linear systems with bounded inputs
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/229979.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
descriptor
positive
discrete-time
linear
system
Weierstrass-Kronecker decomposition
minimum energy control
Opis:
The minimum energy control problem for the positive descriptor discrete-time linear systems with bounded inputs by the use of Weierstrass-Kronecker decomposition is formulated and solved. Necessary and sufficient conditions for the positivity and reachability of descriptor discrete-time linear systems are given. Conditions for the existence of solution and procedure for computation of optimal input and the minimal value of the performance index is proposed and illustrated by a numerical example.
Źródło:
Archives of Control Sciences; 2018, 28, 2; 255-268
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fractional order tube model reference adaptive control for a class of fractional order linear systems
Autorzy:
Balaska, Hanane
Ladaci, Samir
Djouambi, Abdelbaki
Schulte, Horst
Bourouba, Bachir
Powiązania:
https://bibliotekanauki.pl/articles/330930.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fractional order system
linear system
model reference adaptive control
fractional adaptive control
performance tube
fractional order TMRAC
system ułamkowego rzędu
system liniowy
sterowanie adaptacyjne
Opis:
We introduce a novel fractional order adaptive control design based on the tube model reference adaptive control (TMRAC) scheme for a class of fractional order linear systems. By considering an adaptive state feedback control configuration, the main idea is to replace the classical reference model with a single predetermined trajectory by a fractional order performance tube guidance model allowing a set of admissible trajectories. Besides, an optimization problem is formulated to compute an on-line correction control signal within specified bounds in order to update the system performance while minimizing a control cost criterion. The asymptotic stability of the closed loop fractional order control system is demonstrated using an extension of the Lyapunov direct method. The dynamical performance of the fractional order tube model reference adaptive control (FOTMRAC) is compared with the standard fractional order model reference adaptive control (FOMRAC) strategy, and the simulation results show the effectiveness of the proposed control method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 501-515
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
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:
Linear Matrix Inequalities in multivariable ship’s steering
Autorzy:
Rybczak, M.
Powiązania:
https://bibliotekanauki.pl/articles/259077.pdf
Data publikacji:
2012
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
linear matrix inequality
use of LMI
synthesis of regulators
multivariable system
ship's control
Opis:
This paper explains the basics of the Linear Matrix Inequalities (LMI), with examples of simulations and calculations created in Matlab/Simulink programming environment where the controlled plant is the “Blue Lady” ship model. First chapter of this paper gives a short overview of publications describing the use of Linear Matrix Inequalities method. Second chapter contains basic definitions and equations for the LMI method. Chapter three presents the use of LMI method for ship control by describing controller synthesis for the “Blue Lady”. Chapter four compares the operation of two controllers, the first one consisting of three independent proper adjusted PID controllers and the second one being a multivariable LMI controller. Finally conclusions from the above comparison are drawn.
Źródło:
Polish Maritime Research; 2012, S 1; 37-44
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hybrydowa regulacja odporna napędu posuwu obrabiarki sterowanej numerycznie
Hybrid robust control for CNC tool feed-drive
Autorzy:
Domek, S.
Pietrusewicz, K.
Urbański, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/269939.pdf
Data publikacji:
2011
Wydawca:
Wrocławska Rada Federacji Stowarzyszeń Naukowo-Technicznych
Tematy:
obrabiarka CNC
układ sterowania
napęd liniowy
CNC machine tool
control system
linear drive
Opis:
Przedstawiono wyniki prac nad sterowaniem liniowymi silnikami synchronicznymi w osiach posuwowych obrabiarki CNC za pomocą inteligentnego cyfrowego serwonapędu. Obejmują one prace koncepcyjne nad otwartym systemem sterowania serwonapędem oraz rezultaty identyfikacji modeli dynamicznych stanowiska badawczego z otwartym systemem sterowania CNC. Omówiono zalety układów regulacji odpornej w porównaniu do sterowania klasycznego. Zaproponowano hybrydowe predykcyjne podejście do odpornej regulacji prędkości stolika X-Y frezarki oraz omówiono wyniki badań symulacyjnych regulatorów.
The article presents a selection of results from the research and development of the prototype of digital servodrives with permanent magnet synchronous motors within the CNC machine tool feed-drive. Paper describes thoroughly the identification process of dynamic models of machine feed axes. The strong points of the robust control over classical one-loop control were shown in simulations. New hybrid predictive controllers for robust control of machine tool axes were introduced and analyzed.
Źródło:
Inżynieria Maszyn; 2011, R. 16, z. 1/2; 50-66
1426-708X
Pojawia się w:
Inżynieria Maszyn
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:
Controllability of a class of infinite dimensional systems with age structure
Autorzy:
Maity, Debayan
Tucsnak, Marius
Zuazua, Enrique
Powiązania:
https://bibliotekanauki.pl/articles/1839149.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
infinite dimensional linear system
age structure
admissible control operator
null controllability
population dynamics
Opis:
Given a linear dynamical system, we investigate the linear infinite dimensional system obtained by grafting an age structure. Such systems appear essentially in population dynamics with age structure when phenomena like spatial diffusion or transport are also taken into consideration. We first show that the new system preserves some of the wellposedness properties of the initial one. Our main result asserts that if the initial system is null controllable in a time small enough then the structured system is also null controllable in a time depending on the various involved parameters.
Źródło:
Control and Cybernetics; 2019, 48, 2; 231-260
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Delay-dependent dissipative control for stochastic singular systems with state delay
Autorzy:
Ding, C.
Li, Q.
Powiązania:
https://bibliotekanauki.pl/articles/229379.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
stochastic singular system
dissipative control
delay-dependent
state delay
linear matrix inequalities (LMIs)
Opis:
The problem of delay-dependent dissipative analysis and control for stochastic singular systems with state delay is investigated in this paper. Delay-dependent dissipative condition for the stochastic singular systems with state delay is obtained by employing singular stochastic Lyapunov and LMI-based methods. Based on this condition, a delay-dependent dissipative controller is presented. A numerical example is provided to demonstrate the effectiveness of the proposed approach.
Źródło:
Archives of Control Sciences; 2013, 23, 3; 281-293
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Predictive control for trajectory tracking and decentralized navigation of multi-agent formations
Autorzy:
Prodan, I.
Olaru, S.
Stoica, C.
Niculescu, S. I.
Powiązania:
https://bibliotekanauki.pl/articles/330700.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
multi-agent system
linear system
model predictive control
potential function
polyhedral function
system wieloagentowy
system linearny
sterowanie predykcyjne
funkcja potencjału
Opis:
This paper addresses a predictive control strategy for a particular class of multi-agent formations with a time-varying topology. The goal is to guarantee tracking capabilities with respect to a reference trajectory which is pre-specified for an agent designed as the leader. Then, the remaining agents, designed as followers, track the position and orientation of the leader. In real-time, a predictive control strategy enhanced with the potential field methodology is used in order to derive a feedback control action based only on local information within the group of agents. The main concern is that the interconnections between the agents are time-varying, affecting the neighborhood around each agent. The proposed method exhibits effective performance validated through some illustrative examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 91-102
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Projekt systemu sterowania dwukołowym robotem balansującym
A control system design for two-wheeled balancing robot
Autorzy:
Laddach, Krzysztof
Łangowski, Rafał
Powiązania:
https://bibliotekanauki.pl/articles/266736.pdf
Data publikacji:
2019
Wydawca:
Politechnika Gdańska. Wydział Elektrotechniki i Automatyki
Tematy:
LQR
regulator liniowo-kwadratowy
robot balansujący
system sterowania
linear quadratic regulator
balancing robot
synthesis of control system
Opis:
W niniejszym artykule rozważony został problem sterowania dwukołowym robotem balansującym. Celem zaprezentowanych prac było zaprojektowanie systemu sterowania tego typu obiektem z wykorzystaniem metod nowoczesnej teorii sterowania. W ramach syntezy, bazując na wyprowadzonym w oparciu o zasady dynamiki Newtona modelu, dobrana została struktura systemu sterowania w postaci regulatora wykorzystującego sprzężenie zwrotne od stanu oraz sprzężenie w przód od zadanej wartości prędkości liniowej robota. Dobór wzmocnień regulatora w sprzężeniu od stanu wykonano z wykorzystaniem technologii sterowania optymalnego z kwadratowym wskaźnikiem jakości. Ponadto, z uwagi na niedostateczną jakość pomiarów używanych w sterowaniu, opracowano dyskretny filtr Kalmana. Jakość opracowanego rozwiązania została przetestowana, przede wszystkim symulacyjnie, w środowisku Matlab/Simulink. Zawarte rozważania agregują wiedzę umożliwiającą zaprojektowanie systemu sterowania obiektami tej klasy, co może być użyteczne szczególnie w różnych aplikacjach inżynierskich.
A two-wheeled balancing robot is one type of structures based on the principle of a mobile inverted pendulum. The main aim of controlling a balancing robot is to stabilise it at the upper equilibrium point and to enable its movement with the set speed. In this paper, a synthesis of a balancing robot control system has been given. Within its framework, based on the model using Newton's laws, a feedforward state-feedback control system structure has been designed. The controller parameter values have been computed using optimisation tools. More specifically, the linear-quadratic regulator (LQR) has been designed. Moreover, due to the insufficient quality of measurements used in the control system, a linear discrete Kalman filter has been developed. The complete control system has been implemented and tested in the Matlab/Simulink environment.
Źródło:
Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej; 2019, 68; 27-32
1425-5766
2353-1290
Pojawia się w:
Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej
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:
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:
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:
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:
Minimum energy control of descriptor fractional discrete-time linear systems with two different fractional orders
Autorzy:
Sajewski, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/330617.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
minimum energy control
descriptor system
fractional system
discrete-time linear system
sterowanie energooszczędne
układ deskryptorowy
układ ułamkowy
liniowy układ dyskretny
Opis:
Reachability and minimum energy control of descriptor fractional discrete-time linear systems with different fractional orders are addressed. Using the Weierstrass–Kronecker decomposition theorem of the regular pencil, a solution to the state equation of descriptor fractional discrete-time linear systems with different fractional orders is given. The reachability condition of this class of systems is presented and used for solving the minimum energy control problem. The discussion is illustrated with numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 1; 33-41
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilność układu sterowania z regulatorem neuronowym
Stability of system with neurocontroller
Autorzy:
Hirniak, Y.
Ivakhiv, O.
Nakonechnyi, M.
Repetylo, T.
Powiązania:
https://bibliotekanauki.pl/articles/268949.pdf
Data publikacji:
2014
Wydawca:
Politechnika Gdańska. Wydział Elektrotechniki i Automatyki
Tematy:
sieć neuronowa
dynamika układów sterowania
system sterowania
stabilność
neuron network
non-linear object
system control
controller
algorithm studying
Opis:
W artykule rozpatrzono sposób syntezy regulatorów neuronowych, które wykorzystuje się do sterowania dynamicznymi obiektami nieliniowymi. Zbadano stabilność układu sterowania z regulatorem neuronowym, którego struktura została zaprojektowana według pożądanej reguły sterowania. Zaproponowano strukturę, w której w przeciwieństwie do zwykle stosowanego wprowadzenia uchybu regulacji na wejście regulatora podaje się sygnał wejściowy oraz wyjściowy na dwa oddzielne wejścia, co powoduje większą skuteczność działania systemu sterowania, a mianowicie polepszenie, jakości sterowania oraz przyśpieszenie reakcji systemu na sygnały wymuszające.
The nature of nonlinearities in the objects of control particularly in the drives of robotic systems as dynamic objects of the second order is analyzed and shown that under the influence of some loads the mathematical model of such object is nonlinear and its linearization leads to disregard factors that significantly affect the dynamics of the object. The controllers which are built using classical methods in the process of system operation do not provide full adequacy between the values of specified and actual controlled variables of nonlinear control objects. An application of neural controllers promises the best prospects. We consider features of construction of dynamic neural network and the mathematical models of standard carried the review of functions of activation neurons and feasibility of using gradient algorithms including the algorithm Levenberg Marquardt for training dynamic neural networks. It is supposed that the system is based on the proportional-integral-differential law. The stability of the system supported by neurocontroller with two separated inputs is discussed. Obviously the control action of such dynamic system is corresponded with the difference between output signals of the non-linear object and the chosen standard. On contrary to a typical structure it was proposed to put these signals on two separate inputs. During the training procedure everyone weight is found one from another independently. This task has been considered which include the location of the dominant roots of the characteristic equation of the closed-loop system in a given area of the complex plane of the roots and then return back to the open-loop system. The comparison of obtained errors in traditional and proposed structures of neurocontroller showed that the last one is the most effective in quality and productivity sense.
Źródło:
Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej; 2014, 38; 23-27
1425-5766
2353-1290
Pojawia się w:
Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej
Dostawca treści:
Biblioteka Nauki
Artykuł

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