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Wyszukujesz frazę "quadratic stability" wg kryterium: Temat

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    Wyświetlanie 1-6 z 6
    Tytuł:
    A new fuzzy Lyapunov approach to non-quadratic stabilization of Takagi-Sugeno fuzzy models
    Autorzy:
    Abdelmalek, I.
    Goléa, N.
    Hadjili, M. L.
    Powiązania:
    https://bibliotekanauki.pl/articles/911242.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    liniowe nierówności macierzowe
    stabilizacja
    funkcja Lapunowa
    model Takagi-Sugeno
    system rozmyty
    T-S fuzzy systems
    non-quadratic stability conditions
    linear matrix inequalities
    parallel distributed compensation
    stabilization
    Opis:
    In this paper, new non-quadratic stability conditions are derived based on the parallel distributed compensation scheme to stabilize Takagi-Sugeno (T-S) fuzzy systems. We use a non-quadratic Lyapunov function as a fuzzy mixture of multiple quadratic Lyapunov functions. The quadratic Lyapunov functions share the same membership functions with the T-S fuzzy model. The stability conditions we propose are less conservative and stabilize also fuzzy systems which do not admit a quadratic stabilization. The proposed approach is based on two assumptions. The first one relates to a proportional relation between multiple Lyapunov functions and the second one considers an upper bound to the time derivative of the premise membership functions. To illustrate the advantages of our proposal, four examples are given.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 39-51
    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:
    An infinite horizon predictive control algorithm based on multivariable input-output models
    Autorzy:
    Ławryńczuk, M.
    Tatjewski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/907410.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie predykcyjne
    horyzont nieskończony
    programowanie kwadratowe
    model predictive control
    stability
    infinite horizon
    singular value decomposition
    quadratic programming
    Opis:
    In this paper an infinite horizon predictive control algorithm, for which closed loop stability is guaranteed, is developed in the framework of multivariable linear input-output models. The original infinite dimensional optimisation problem is transformed into a finite dimensional one with a penalty term. In the unconstrained case the stabilising control law, using a numerically reliable SVD decomposition, is derived as an analytical formula, calculated off-line. Considering constraints needs solving on-line a quadratic programming problem. Additionally, it is shown how free and forced responses can be calculated without the necessity of solving a matrix Diophantine equation.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2004, 14, 2; 167-180
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Design of linear feedback for bilinear control systems
    Autorzy:
    Belozyorov, V. Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/908500.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    matematyka
    system of ordinary quadratic differential equations
    bilinear control system
    linear control law
    cone of stability
    feedback
    closed-loop system
    Opis:
    Sufficient conditions for the conditional stability of trivial solutions for quadratic systems of ordinary differential equations are obtained. These conditions are then used to design linear control laws on the output for a bilinear system of any order. In the case of a homogeneous system, a domain of the conditional stability is also indicated (it is a cone). Some examples are given.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 493-511
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extended Lie algebraic stability analysis for switched systems with continuous-time and discrete–time subsystems
    Autorzy:
    Zhai, G.
    Xu, X.
    Lin, H.
    Liu, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/929816.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ komutowany
    funkcja Lapunowa
    algebra Lie'go
    stateczność wykładnicza
    switched systems
    common quadratic Lyapunov functions
    Lie algebra
    exponential stability
    arbitrary switching
    dwell time scheme
    Opis:
    We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. When not all subsystems are stable and the same Lie algebra is solvable, we show that there is a common quadratic Lyapunov-like function for all subsystems and the switched system is exponentially stable under a dwell time scheme. Two numerical examples are provided to demonstrate the result.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 447-454
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching
    Autorzy:
    Zhai, G.
    Xu, X.
    Powiązania:
    https://bibliotekanauki.pl/articles/907764.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ komutowany
    układ deskrypcyjny
    stabilność
    komutacja dowolna
    nierówność macierzy
    LMI
    switched linear descriptor systems
    stability
    arbitrary switching
    linear matrix inequalities (LMIs)
    common quadratic Lyapunov functions
    Opis:
    We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switched system is stable under arbitrary switching. The analysis results are natural extensions of the existing results for switched linear state space systems.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2010, 20, 2; 249-259
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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