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Wyświetlanie 1-15 z 31
Tytuł:
LMI based fuzzy observer design for Takagi-Sugeno models containing vestigial nonlinear terms
Autorzy:
Krokavec, D.
Filasová, A.
Powiązania:
https://bibliotekanauki.pl/articles/229515.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Takagi-Sugeno models
fuzzy observer
linear matrix inequality
incremental quadratic inequality
Opis:
The paper deals with the problem of full order fuzzy observer design for the class of continuous-time nonlinear systems, represented by Takagi-Sugeno models containing vestigial nonlinear terms. On the basis of the Lyapunov stability criterion and the incremental quadratic inequalities, two design conditions for this kind of system model are outlined in the terms of linear matrix inequalities. A numerical example is given to illustrate the procedure and to validate the performances of the proposed approach.
Źródło:
Archives of Control Sciences; 2014, 24, 1; 39-52
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI based stability criterion for uncertain neutral-type neural networks with discrete and distributed delays
Autorzy:
Baskar, P.
Padmanabhan, S.
Syed Ali, M.
Powiązania:
https://bibliotekanauki.pl/articles/2049954.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
stability analysis
neutral networks
Lyapunov method
Linear Matrix Inequality
Opis:
This paper studies the problem of robust stability analysis for uncertain neutral-type neural networks with discrete and distributed delays. By constructing an appropriate Lyapunov- Krasovskii functional, new delay-dependent criteria are obtained. We utilized the free-weighting matrices approach and bounding lemmas to estimate the derivative of the Lyapunov-Krasovskii functional. The stability criterion are established in terms of linear matrix inequalities (LMIs). Finally, a numerical example is presented to illustrate the effectiveness of the proposed method.
Źródło:
Control and Cybernetics; 2020, 49, 1; 77-97
0324-8569
Pojawia się w:
Control and Cybernetics
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:
Stabilization of autonomous linear time invariant fractional order derivative switched systems with different derivative in subsystems
Autorzy:
Balochian, S.
Powiązania:
https://bibliotekanauki.pl/articles/200478.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear time invariant fractional order derivative
switching systems
linear matrix inequality
LMI
Opis:
In this paper, the stabilization problem of a autonomous linear time invariant fractional order (LTI-FO) switched system with different derivative order in subsystems is outlined. First, necessary and sufficient condition for stability of an LTI-FO switched system with different derivative order in subsystems based on the convex analysis and linear matrix inequality (LMI) for two subsystems is presented and proved. Also, sufficient condition for stability of an LTI-FO switched system with different derivative order in subsystems for more than two subsystems is proved. Then a sliding sector is designed for each subsystem of the LTI-FO switched system. Finally, a switching control law is designed to switch the LTI-FO switched system among subsystems to ensure the decrease of the norm of the switched system. Simulation results are given to show the effectiveness of the proposed variable structure controller.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 3; 495-503
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exponential stability of networked control systems with network-induced random delays
Autorzy:
Krokavec, D.
Filasova, A.
Powiązania:
https://bibliotekanauki.pl/articles/229822.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
networked systems
stability analysis
time-delay systems
linear matrix inequality
state feedback
Opis:
In this paper, the problem of exponential stability for the standard form of the state control, realized in a networked control system structure, is studied. To deal with the problem of stability analysis of the event-time-driven modes in the networked control systems the delayed-dependent exponential stability conditions are reformulated and proven. Based on the delay-time dependent Lyapunov-Krasovskii functional, exponential stability criteria are derived. These criteria are expressed as a set of linear matrix inequalities and their structure can be modified to use the bilinear inequality techniques.
Źródło:
Archives of Control Sciences; 2010, 20, 2; 165-186
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pairwise control principle in large-scale systems
Autorzy:
Filasova, A.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/229965.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
decentralized control
large-scale systems
state feedback
linear matrix inequality
asymptotic stability
Opis:
The purpose of the paper is present an algorithm of partially decentralized control design for one type of large-scale linear dynamical system. The pairwise autonomous principle is preferred where design conditions are derived in the bounded real lemma form, and global system stability is reproven to formulate potential application principle in fault tolerant control. The validity of the proposed method is demonstrated by the numerical example.
Źródło:
Archives of Control Sciences; 2011, 21, 3; 227-242
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability criteria for large-scale time-delay systems; the LMI approach and the Genetic Algorithms
Autorzy:
Chen, J.- D.
Powiązania:
https://bibliotekanauki.pl/articles/969948.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
algorytm genetyczny
delay-dependent criterion
large-scale systems
linear matrix inequality
genetic algorithms
Opis:
This paper addresses the asymptotic stability analysis problem for a class of linear large-scale systems with time delay in the state of each subsystem as well as in the interconnections. Based on the Lyapunov stability theory, a delay-dependent criterion for stability analysis of the systems is derived in terms of a linear matrix inequality (LMI). Finally, a numerical example is given to demonstrate the validity of the proposed result.
Źródło:
Control and Cybernetics; 2006, 35, 2; 291-301
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Delay-Dependent Stability for Neutral Delay-Differential Systems
Autorzy:
Han, Q. L.
Powiązania:
https://bibliotekanauki.pl/articles/908069.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
opóźnienie czasowe
opóźnienie zależne
stability
time delay
neutral system
linear matrix inequality (LMI)
Opis:
This paper deals with the stability problem for a class of linear neutral delay-differential systems. The time delay is assumed constant and known. Delay-dependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 4; 965-976
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:
New observer-based control design for mismatched uncertain systems with time-delay
Autorzy:
Huynh, V. V.
Powiązania:
https://bibliotekanauki.pl/articles/229302.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
observer-based control
time-delay systems
linear matrix inequality (LMI)
mismatched uncertain systems
Opis:
In this paper, the state estimation problem for a class of mismatched uncertain time-delay systems is addressed. The estimation uses observer-based control techniques. The mismatched uncertain time-delay systems investigated in this study include mismatched parameter uncertainties in the state matrix and in the delayed state matrix. First, based on a new lemma with appropriately choosing Lyapunov functional, new results for stabilization of mismatched uncertain time-delay systems are provided on the basis of a linear matrix inequality (LMI) framework and the asymptotic convergence properties for the estimation error is ensured. Second, the control and observer gains are given from single LMI feasible solution which can overcome the drawback of the bilinear matrix inequalities approach often reported in the literature. Finally, a numerical example is used to demonstrate the efficacy of the proposed method.
Źródło:
Archives of Control Sciences; 2016, 26, 4; 597-610
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI based control design for linear systems with distributed time delays
Autorzy:
Filasova, A.
Gontkovič, D.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/229820.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear matrix inequality
systems with distributed time delays
Lyapunov-Krasovskii functional
state control
asymptotic stability
Opis:
The paper concerns the problem of stabilization of continuous-time linear systems with distributed time delays. Using extended form of the Lyapunov-Krasovskii functional candidate, the controller design conditions are derived and formulated with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. The result give sufficient condition for stabilization of the system with distributed time delays. It is illustrated with a numerical example to note reduced conservatism in the system structure.
Źródło:
Archives of Control Sciences; 2012, 22, 2; 217-231
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Synteza obserwatora pełnego rzędu singularnych układów dyskretnych niecałkowitego rzędu
Full order observer synthesis for singular discrete-time fractional systems
Autorzy:
Kociszewski, R.
Powiązania:
https://bibliotekanauki.pl/articles/275773.pdf
Data publikacji:
2016
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
obserwator
układ singularny
dyskretny
liniowa nierówność macierzowa
observer
singular system
discrete-time
linear matrix inequality
Opis:
W pracy rozpatrzono zagadnienie syntezy obserwatora pełnego rzędu dla układów liniowych dyskretnych singularnych niecałkowitego rzędu. Sformułowano analityczne kryteria istnienia obserwatora i podano sposób wyznaczania macierzy wzmocnień obserwatora. Rozważania teoretyczne, do których wykorzystano liniowe nierówności macierzowe (LMI) zilustrowano przykładem liczbowym.
The paper is devoted to observer synthesis for linear singular discrete-time fractional systems. The problem of finding a nonnegative gain matrix of the observer such that the observer is asymptotically stable is formulated and solved by the use of linear matrix inequality (LMI) method. The proposed approach to the observer synthesis is illustrated by theoretical example.
Źródło:
Pomiary Automatyka Robotyka; 2016, 20, 4; 9-13
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A matrix inequality based design method for consensus problems in multi-agent systems
Autorzy:
Zhai, G.
Okuno, S.
Imae, J.
Kobayashi, T.
Powiązania:
https://bibliotekanauki.pl/articles/930012.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system wieloagentowy
konsensus
sterowanie zdecentralizowane
nierówność macierzy
LMI
multi-agent systems
consensus
decentralized control
graph Laplacian
matrix inequality
Opis:
In this paper, we study a consensus problem in multi-agent systems, where the entire system is decentralized in the sense that each agent can only obtain information (states or outputs) from its neighbor agents. The existing design methods found in the literature are mostly based on a graph Laplacian of the graph which describes the interconnection structure among the agents, and such methods cannot deal with complicated control specification. For this purpose, we propose to reduce the consensus problem at hand to the solving of a strict matrix inequality with respect to a Lyapunov matrix and a controller gain matrix, and we propose two algorithms for solving the matrix inequality. It turns out that this method includes the existing Laplacian based method as a special case and can deal with various additional control requirements such as the convergence rate and actuator constraints.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 4; 639-646
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decentralized static output feedback controller design for linear interconnected systems
Autorzy:
Fadhilah, Helisyah Nur
Adzkiya, Dieky
Arif, Didik Khusnul
Zhai, Guisheng
Mardlijah
Powiązania:
https://bibliotekanauki.pl/articles/2201019.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
output feedback
decentralized controller
homotopy method
interconnected system
matrix inequality
sprzężenie zwrotne
kontroler zdecentralizowany
metoda homotopii
system połączony
nierówność macierzowa
Opis:
Many interconnected systems in the real world, such as power systems and chemical processes, are often composed of subsystems. A decentralized controller is suitable for an interconnected system because of its more practical and accessible implementation. We use the homotopy method to compute a decentralized controller. Since the centralized controller constitutes the starting point for the method, its existence becomes very important. This paper introduces a non-singular matrix and a design parameter to generate a centralized controller. If the initial centralized controller fails, we can change the value of the design parameter to generate a new centralized controller. A sufficient condition for a decentralized controller is given as a bilinear matrix inequality with three matrix variables: a controller gain matrix and a pair of other matrix variables. Finally, we present numerical examples to validate the proposed decentralized controller design method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2023, 33, 1; 83--96
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties
Autorzy:
Balasubramaniam, P.
Lakshmanan, S.
Rakkiyappan, R.
Powiązania:
https://bibliotekanauki.pl/articles/331417.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
opóźnienie zależne
liniowa nierówność macierzowa
system stochastyczny
stabilność odporna
delay-dependent stability
linear matrix inequality
Lyapunov-Krasovskii functional
stochastic systems
Opis:
This paper studies an LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties. The delay is assumed to be time-varying and belong to a given interval, which means that lower and upper bounds of this interval time-varying delay are available. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. Based on the new Lyapunov-Krasovskii functional, some inequality techniques and stochastic stability theory, delay-dependent stability criteria are obtained in terms of Linear Matrix Inequalities (LMIs). Moreover, the derivative of time delays is allowed to take any value. Finally, four numerical examples are given to illustrate the effectiveness of the proposed method and to show an improvement over some results found in the literature.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 339-351
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 31

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