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    Wyświetlanie 1-13 z 13
    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:
    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:
    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 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:
    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:
    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:
    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:
    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
      Wyświetlanie 1-13 z 13

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