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    Wyświetlanie 1-31 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
    Tytuł:
    Fault-tolerant control strategy for actuator faults using LPV techniques: application to a two degree of freedom helicopter
    Autorzy:
    Montes de Oca, S.
    Puig, V.
    Witczak, M.
    Dziekan, Ł.
    Powiązania:
    https://bibliotekanauki.pl/articles/331468.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie tolerujące uszkodzenia
    układ liniowy niestacjonarny
    liniowa nierówność macierzowa
    fault tolerant control
    linear parameter varying
    virtual actuator
    linear matrix inequality
    Opis:
    In this paper, a Fault Tolerant Control (FTC) strategy for Linear Parameter Varying (LPV) systems that can be used in the case of actuator faults is proposed. The idea of this FTC method is to adapt the faulty plant instead of adapting the controller to the faulty plant. This approach can be seen as a kind of virtual actuator. An integrated FTC design procedure for the fault identification and fault-tolerant control schemes using LPV techniques is provided as well. Fault identification is based on the use of an Unknown Input Observer (UIO). The FTC controller is implemented as a state feedback controller and designed using polytopic LPV techniques and Linear Matrix Inequality (LMI) regions in such a way as to guarantee the closed-loop behavior in terms of several LMI constraints. To assess the performance of the proposed approach, a two degree of freedom helicopter is used.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 1; 161-171
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An active fault-tolerant control framework against actuator stuck failures under input saturations
    Autorzy:
    Qi, X.
    Theilliol, D.
    He, Y.
    Han, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/331084.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fault tolerant control
    actuator stuck failure
    actuator constraints
    reference redesign
    linear matrix inequality
    sterowanie tolerujące uszkodzenia
    projekt odniesienia
    liniowa nierówność macierzowa
    Opis:
    In this paper, a control framework including active fault-tolerant control (FTC) and reference redesign is developed subject to actuator stuck failures under input saturations. FTC synthesis and reference redesign approaches are proposed to guarantee post-fault system safety and reference reachability. Then, these features are analyzed under both actuator stuck failures and constraints before fault-tolerant controller switches. As the main contribution, actuator stuck failures and constraints are unified so that they can be easily considered simultaneously. By means of transforming stuck failures into actuator constraints, the post-fault system can be regarded as an equivalent system with only asymmetrical actuator constraints. Thus, methods against actuator saturations can be used to guarantee regional stability and produce the stability region. Based on this region, stuck compensation is analyzed. Specifically, an unstable open-loop system is considered, which is more challenging. Furthermore, the method is extended to a set-point tracking problem where the reachability of the original reference can be evaluated. Then, a new optimal reference will be computed for the post-fault system if the original one is unreachable. Finally, simulation examples are shown to illustrate the theoretical results.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2017, 27, 4; 749-761
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Observer synthesis for linear discrete-time systems with different fractional orders
    Synteza obserwatora układów dyskretnych o różnych niecałkowitych rzędach
    Autorzy:
    Kociszewski, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/276524.pdf
    Data publikacji:
    2013
    Wydawca:
    Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
    Tematy:
    rząd niecałkowity
    układ
    dodatni
    dyskretny
    obserwator
    programowanie liniowe
    liniowa nierówność macierzowa
    fractional
    positive
    discrete-time
    system
    observer
    linear programming
    linear matrix inequality
    Opis:
    The paper is devoted to observer synthesis for linear discrete-time positive fractional systems with different fractional orders. The problem of finding a nonnegative gain matrix of the observer such that the observer is positive and asymptotically stable is formulated and solved by the use of linear programming (LP) and linear matrix inequality (LMI) methods. The proposed approach to the observer synthesis is illustrated by theoretical example. Numerical calculations and simulations have been performed in the MATLAB/Simulink program environment.
    W pracy rozpatrzono problem syntezy obserwatorów dla dodatnich układów dyskretnych różnych niecałkowitych rzędów w równaniu stanu. Wykorzystując podejście oparte na typowym zadaniu programowania liniowego (LP) oraz zadaniu sformułowanym w ramach liniowych nierówności macierzowych (LMI) pokazano, że jest możliwe uzyskanie dodatniego asymptotycznie stabilnego obserwatora. Są to warunki dostateczne, alternatywne w stosunku do podanych w [5, 18] dla układów niedodatnich. Zaprojektowany obserwator poprawnie estymuje (odtwarza) zmienne stanu przyjętego do rozważań dyskretnego układu niecałkowitego rzędu. Wyniki obliczeniowe uzyskano w środowisku programowym MATLAB z wykorzystaniem biblioteki Optimization oraz pakietów SeDuMi i YALMIP. Rezultaty symulacyjne uzyskano przy wykorzystaniu dodatkowej biblioteki Fractional States Space Toolkit.
    Źródło:
    Pomiary Automatyka Robotyka; 2013, 17, 2; 376-381
    1427-9126
    Pojawia się w:
    Pomiary Automatyka Robotyka
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An LMI-based heuristic algorithm for vertex reduction in LPV systems
    Autorzy:
    Sanjuan, Adrián
    Rotondo, Damiano
    Nejjari, Fatiha
    Sarrate, Ramon
    Powiązania:
    https://bibliotekanauki.pl/articles/331436.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    linear parameter varying
    linear matrix inequality
    Gershgorin circles
    gain scheduling
    controller design
    układ liniowy niestacjonarny
    liniowa nierówność macierzowa
    twierdzenie Gerszgorina
    harmonogramowanie wzmocnienia
    Opis:
    The linear parameter varying (LPV) approach has proved to be suitable for controlling many non-linear systems. However, for those which are highly non-linear and complex, the number of scheduling variables increases rapidly. This fact makes the LPV controller implementation not feasible for many real systems due to memory constraints and computational burden. This paper considers the problem of reducing the total number of LPV controller gains by determining a heuristic methodology that combines two vertices of a polytopic LPV model such that the same gain can be used in both vertices. The proposed algorithm, based on the use of the Gershgorin circles, provides a combinability ranking for the different vertex pairs, which helps in solving the reduction problem in fewer attempts. Simulation examples are provided in order to illustrate the main characteristics of the proposed approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2019, 29, 4; 725-737
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller
    Autorzy:
    Zhou, L.
    She, J.
    Zhou, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/330403.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    repetitive control
    dynamic output feedback
    two dimensional system
    singular value decomposition
    linear matrix inequality
    sterowanie powtarzalne
    sprzężenie zwrotne dynamiczne
    system dwuwymiarowy
    liniowa nierówność macierzowa
    Opis:
    This paper is concerned with the problem of designing a robust modified repetitive-control system with a dynamic output feedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value decomposition of the output matrix and Lyapunov stability theory are used to derive an asymptotic stability condition based on a Linear Matrix Inequality (LMI). Two tuning parameters in the LMI manipulate the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2014, 24, 2; 325-334
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Delay-dependent generalized H2 control for discrete T-S fuzzy large-scale stochastic systems with mixed delays
    Autorzy:
    Li, J.
    Xia, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/930162.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system stochastyczny
    opóźnienie zależne
    liniowa nierówność macierzowa
    fuzzy large scale stochastic system
    delay-dependent
    generalized H2 control
    infinite distributed delays
    linear matrix inequality
    Opis:
    This paper is concerned with the problem of stochastic stability and generalized H2 control for discrete-time fuzzy largescale stochastic systems with time-varying and infinite-distributed delays. Large-scale interconnected systems consist of a number of discrete-time interconnected Takagi-Sugeno (T-S) subsystems. First, a novel Delay-Dependent Piecewise Lyapunov-Krasovskii Functional (DDPLKF0 is proposed, in which both the upper and the lower bound of delays are considered. Then, two improved delay-dependent stability conditions are established based on this DDPLKF in terms of Linear Matrix Inequalities (LMIs). The merit of the proposed conditions lies in its reduced conservatism, which is achieved by circumventing the utilization of some bounding inequalities for cross products of two vectors and by considering the interactions among the fuzzy subsystems in each subregion. A decentralized generalized H2 state feedback fuzzy controller is designed for each subsystem. It is shown that the mean-square stability for discrete T-S fuzzy large-scale stochastic systems can be established if a DDPLKF can be constructed and a decentralized controller can be obtained by solving a set of LMIs. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 585-603
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust nonlinear observer design for actuator fault detection in diesel engines
    Autorzy:
    Boulkroune, B.
    Djemili, I.
    Aitouche, A.
    Cocquempot, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/330060.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    diesel engine
    fault diagnosis
    nonlinear unknown input observers
    linear matrix inequality (LMI)
    silnik Diesla
    diagnostyka uszkodzeń
    obserwator o nieznanym wejściu
    liniowa nierówność macierzowa
    Opis:
    This paper is concerned with actuator fault detection in nonlinear systems in the presence of disturbances. A nonlinear unknown input observer is designed and the output estimation error is used as a residual for fault detection. To deal with the problem of high Lipschitz constants, a modified mean-value theorem is used to express the nonlinear error dynamics as a convex combination of known matrices with time-varying coefficients. Moreover, the disturbance attenuation is performed using a modified H-infinity criterion. A sufficient condition for the existence of an unknown input observer is obtained using a linear matrix inequality formula, and the observer gains are obtained by solving the corresponding set of inequalities. The advantages of the proposed method are that no a priori assumption on the unknown input is required and that it can be applied to a large class of nonlinear systems. Performances of the proposed approach are shown through the application to a diesel engine model.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 3; 557-569
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Decentralized design of interconnected H infinity feedback control systems with quantized signals
    Autorzy:
    Zhai, G.
    Chen, N.
    Gui, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/331266.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    interconnected systems
    decentralized H infinity control
    dynamic output feedback
    quantizer
    quantization
    matrix inequality
    LMI
    sprzężenie zwrotne dynamiczne
    kwantyzer
    kwantowanie
    nierówność macierzowa
    metoda LMI
    Opis:
    In this paper, we consider the design of interconnected H infinity feedback control systems with quantized signals. We assume that a decentralized dynamic output feedback has been designed for an interconnected continuous-time LTI system so that the closed-loop system is stable and a desired H infinity disturbance attenuation level is achieved, and that the subsystem measurement outputs are quantized before they are passed to the local controllers. We propose a local-output-dependent strategy for updating the parameters of the quantizers, so that the overall closed-loop system is asymptotically stable and achieves the same H infinity disturbance attenuation level. Both the pre-designed controllers and the parameters of the quantizers are constructed in a decentralized manner, depending on local measurement outputs.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 317-325
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust aperiodic-disturbance rejection in an uncertain modified repetitive-control system
    Autorzy:
    Zhou, L.
    She, J.
    Li, C.
    Pan, C.
    Powiązania:
    https://bibliotekanauki.pl/articles/330015.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    repetitive control
    equivalent input disturbance
    two dimensional system
    singular value decomposition
    linear matrix inequality
    sterowanie powtarzalne
    układ dwuwymiarowy
    rozkład na wartości szczególne
    liniowa nierówność macierzowa
    Opis:
    This paper concerns the problem of designing an EID-based robust output-feedback modified repetitive-control system (ROFMRCS) that provides satisfactory aperiodic-disturbance rejection performance for a class of plants with time-varying structured uncertainties. An equivalent-input-disturbance (EID) estimator is added to the ROFMRCS that estimates the influences of all types of disturbances and compensates them. A continuous-discrete two-dimensional model is built to describe the EID-based ROFMRCS that accurately presents the features of repetitive control, thereby enabling the control and learning actions to be preferentially adjusted. A robust stability condition for the closed-loop system is given in terms of a linear matrix inequality. It yields the parameters of the repetitive controller, the output-feedback controller, and the EID-estimator. Finally, a numerical example demonstrates the validity of the method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 2; 285-295
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Design of unknown input fractional-order observers for fractional-order systems
    Autorzy:
    N’Doye, I.
    Darouach, M.
    Voos, H.
    Zasadzinski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/330946.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fractional calculus
    fractional order systems
    fractional order observers
    existence condition
    linear matrix inequality
    unknown input
    stability
    ułamkowy rachunek różniczkowy
    układ ułamkowego rzędu
    liniowa nierówność macierzowa
    Opis:
    This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order α satisfying 0 < α < 2 are derived in terms of linear matrix inequalities. Two numerical examples are given to demonstrate the applicability of the proposed approach, where the fractional order α belongs to 1 ≤ α < 2 and 0 < α ≤1, respectively. A stability analysis of the fractional-order error system is made and it is shown that the fractional-order observers are as stable as their integer order counterpart and guarantee better convergence of the estimation error.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 3; 491-500
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An LPV pole-placement approach to friction compensation as an FTC problem
    Autorzy:
    Patton, R. J.
    Chen, L.
    Klinkhieo, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/331466.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ liniowy niestacjonarny
    detekcja uszkodzeń
    diagnostyka uszkodzeń
    liniowa nierówność macierzowa
    lokowanie biegunów
    friction
    linear parameter varying
    fault detection
    fault diagnosis
    linear matrix inequality
    pole placement
    Opis:
    The concept of combining robust fault estimation within a controller system to achieve active Fault Tolerant Control (FTC) has been the subject of considerable interest in the recent literature. The current study is motivated by the need to develop model-based FTC schemes for systems that have no unique equilibria and are therefore difficult to linearise. Linear Parameter Varying (LPV) strategies are well suited to model-based control and fault estimation for such systems. This contribution involves pole-placement within suitable LMI regions, guaranteeing both stability and performance of a multi-fault LPV estimator employed within an FTC structure. The proposed design strategy is illustrated using a nonlinear two-link manipulator system with friction forces acting simultaneously at each joint. The friction forces, regarded as a special case of actuator faults, are estimated and their effect is compensated within a polytope controller system, yielding a robust form of active FTC that is easy to apply to real robot systems.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 1; 149-160
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    H-infinity control of discrete-time linear systems constrained in state by equality constraints
    Autorzy:
    Filasová, A.
    Krokavec, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/330125.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ dyskretny
    liniowa nierówność macierzowa
    sprzężenie zwrotne
    algorytm sterowania
    układ singularny
    equality constraints
    discrete time systems
    linear matrix inequality
    state feedback
    control algorithms
    quadratic stability
    singular systems
    Opis:
    In this paper, stabilizing problems in control design are addressed for linear discrete-time systems, reflecting equality constraints tying together some state variables. Based on an enhanced representation of the bounded real lemma for discrete-time systems, the existence of a state feedback control for such conditioned stabilization is proven, and an LMI-based design procedure is provided. The control law gain computation method used circumvents generally an ill-conditioned singular design task. The principle, when compared with previously published results, indicates that the proposed method outper forms the existing approaches, guarantees feasibility, and improves the steady-state accuracy of the control. Furthermore, better performance is achieved with essentially reduced design effort. The approach is illustrated on simulation examples, where the validity of the proposed method is demonstrated using one state equality constraint.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 551-560
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Observer-based controller design of time-delay systems with an interval time-varying delay
    Autorzy:
    Thuan, M. V.
    Phat, V. N.
    Trinh, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/331338.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sprzężenie zwrotne
    opóźnienie czasowo zależne
    liniowa nierówność macierzowa
    funkcjonał Lapunowa-Krasowskiego
    stabilność wykładnicza
    observer based feedback control
    interval time-varying delay
    linear matrix inequality
    Lyapunov-Krasovskii functional
    exponential stability
    Opis:
    This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds. The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov-Krasovskii functionals and utilizing the Newton-Leibniz formula, a delay-dependent stabilizability condition which is expressed in terms of Linear Matrix Inequalities (LMIs) is derived to ensure the closed-loop system is exponentially stable with a prescribed \alfa-convergence rate. The design of an observer based output feedback controller can be carried out in a systematic and computationally efficient manner via the use of an LMI-based algorithm. A numerical example is given to illustrate the design procedure.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 4; 921-927
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the quality of regular correlated pairs (R(K), R0(K)), measured by the value of the coefficient R2(k)
    Autorzy:
    Plebaniak, Joanna
    Powiązania:
    https://bibliotekanauki.pl/articles/424923.pdf
    Data publikacji:
    2013
    Wydawca:
    Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
    Tematy:
    correlation matrix
    universal matrix
    Hellwig’s inequality
    the coefficient r2(k)
    Opis:
    If a correlated pair (R(k), R0(k)) is a regular correlated pair, then the coefficient measuring the quality of such a pair satisfies the inequality: r2(k) ≥ F(k)...
    Źródło:
    Econometrics. Ekonometria. Advances in Applied Data Analytics; 2013, 3(41); 9-14
    1507-3866
    Pojawia się w:
    Econometrics. Ekonometria. Advances in Applied Data Analytics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Konsekwencje majoryzowania macierzy korelacji przez macierz uniwersalną na tle nierównoci Hellwiga
    The Consequences of the Majorisation of the Correlation Matrix by the Universal Matrix Based on Hellwigs Inequality
    Autorzy:
    Kolupa, Michał
    Plebaniak, Joanna
    Powiązania:
    https://bibliotekanauki.pl/articles/1830802.pdf
    Data publikacji:
    2011-12-31
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    macierz korelacji
    macierz uniwersalna
    nierówność Z. Hellwiga
    correlation matrix
    universal matrix
    Hellwig’s inequality
    Źródło:
    Przegląd Statystyczny; 2011, 58, 3-4; 224-230
    0033-2372
    Pojawia się w:
    Przegląd Statystyczny
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The asymptotic trace norm of random circulants and the graph energy
    Autorzy:
    Koshkin, Sergiy
    Powiązania:
    https://bibliotekanauki.pl/articles/729702.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    random matrix
    graph energy
    matrix energy
    circulant
    Toeplitz matrix
    band matrix
    Dirichlet kernel
    non-uniform Berry-Esseen estimate
    Talagrand concentration inequality
    Opis:
    We compute the expected normalized trace norm (matrix/graph energy) of random symmetric band circulant matrices and graphs in the limit of large sizes, and obtain explicit bounds on the rate of convergence to the limit, and on the probabilities of large deviations. We also show that random symmetric band Toeplitz matrices have the same limit norm assuming that their band widths remain small relative to their sizes. We compare the limit norms across a range of related random matrix and graph ensembles.
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2016, 36, 1-2; 67-92
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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