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    Wyświetlanie 1-7 z 7
    Tytuł:
    Lyapunov functional for a linear system with both lumped and distributed delay
    Autorzy:
    Duda, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/205647.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    Lyapunov functional
    time delay system
    LTI system
    Opis:
    The paper presents a method of determining the Lyapunov quadratic functional for linear tirne-invariant system with both lumped and distributed delay. The Lyapunov functional is constructed for its given time derivative, which is calculated on the trajectory of the system with both lumped and distributed delay. The method presented gives analytical formulas for the coefficients of the Lyapunov functional.
    Źródło:
    Control and Cybernetics; 2011, 40, 1; 73-90
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Lyapunov functional for a linear system with two delays
    Autorzy:
    Duda, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/969912.pdf
    Data publikacji:
    2010
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    Lyapunov functional
    time delay system
    LTI system
    Opis:
    The paper presents a method of determining the Lyapunov functional for linear time-invariant LTI system with two lumped delays.
    Źródło:
    Control and Cybernetics; 2010, 39, 3; 797-809
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the stability of continuous-time positive switched systems with rank one difference
    Autorzy:
    Fornasini, E.
    Valcher, M. E.
    Powiązania:
    https://bibliotekanauki.pl/articles/971053.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    switched system
    positive linear system
    asymptotic stability
    linear copositive Lyapunov function quadratic Lyapunov function
    Opis:
    Continuous-time positive systems, switching among p subsystems whose matrices differ by a rank one matrix, are introduced, and a complete characterization of the existence of a common linear copositive Lyapunov function for all the subsystems is provided. Also, for this class of systems it is proved that a well-known necessary condition for asymptotic stability, namely the fact that All convex combinations of the system matrices are Hurwitz, becomes equivalent to the generally weaker condition that the systems matrices are Hurwitz. In the special case of two-dimensional systems, this allows for drawing a complete characterization of asymptotic stability. Finally, the case when there are only two subsystems, possibly with commuting matrices, is investigated.
    Źródło:
    Control and Cybernetics; 2013, 42, 1; 47-62
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Lyapunov functional for a system with k-non-commensurate neutral time delays
    Autorzy:
    Duda, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/970175.pdf
    Data publikacji:
    2010
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    Lyapunov functional
    time delay system
    neutral system
    LTI system
    Opis:
    The paper presents a method of determining the Lyapunov quadratic functional for linear time-invariant system with k-non-commensurate neutral type time delays. The Lyapunov functional is constructed for its given time derivative, which is calculated on the trajectory of the system with k-non-commensurate neutral type time delays. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.
    Źródło:
    Control and Cybernetics; 2010, 39, 4; 1173-1184
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extending Lyapunov redesign method for robust stabilization of non-affine quadratic polynomial systems
    Autorzy:
    Binazadeh, T.
    Rahgoshay, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/205649.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    Lyapunov redesign
    non-affine
    quadratic polynomial systems
    magnetic ball levitation system
    Opis:
    The Lyapunov redesign method is basically used for robust stabilization of nonlinear systems with an affine structure. In this paper, for the first time, by suggestion of a simple but effective idea, this approach is developed for robust stabilization of non-affine quadratic polynomial systems in the presence of uncertainties and external disturbances. In the proposed method, according to the upper bound of an uncertain term, a quadratic polynomial is constructed and with respect to the position of the roots of this polynomial, the additional feedback law is designed for robustness of the quadratic polynomial system. The proposed technique is also used for robust stabilizing of a magnetic ball levitation system. When the coil current is the control input of the magnetic ball levitation system, equations of this system are increasingly nonlinear with respect to control input and have quadratic polynomial structure. The effectiveness of the proposed control law is also demonstrated through computer simulations.
    Źródło:
    Control and Cybernetics; 2016, 45, 3; 373-384
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Tracking and disturbance rejection in a nonlinear control system with time delay
    Autorzy:
    Chien, T.-L.
    Chen, C.-C.
    Wu, C.-J.
    Huang, Y.-C.
    Chen, C.-Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/969741.pdf
    Data publikacji:
    2007
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    disturbance rejection
    automobile idle-speed control system
    differential geometry approach
    composite Lyapunov approach
    Opis:
    We consider the problem of designing a feedback control law in order to reject the unknown bounded disturbance and achieve tracking of reference inputs in control systems described by a class of nonlinear time-delay differential-algebraic equations. Based on the input-output feedback linearization technique and Lya-pimov method for nonlinear state feedback synthesis, a robust globally asymptotical output tracking controller design methodology for nonlinear time-delay control systems with delays on the states and the input is developed. The underlying theoretical approaches are the differential geometry approach and the composite Lyapunov approach. For the view of practical application, the proposed control methodology has been successfully applied to the famous nonlinear automobile idle-speed control system problem.
    Źródło:
    Control and Cybernetics; 2007, 36, 1; 59-74
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Improved fuzzy feedback linearization and Sinswat-transformation control of inverted pendulum
    Autorzy:
    Chien, T. L.
    Chen, C. C.
    Chen, Y. C.
    Wu, S. L.
    Powiązania:
    https://bibliotekanauki.pl/articles/970222.pdf
    Data publikacji:
    2010
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    fuzzy logic control
    almost disturbance decoupling
    feedback linearization approach
    composite Lyapunov approach
    inverted pendulum control system
    Opis:
    This paper studies the output tracking and almost disturbance decoupling problem of nonlinear control systems with uncertainties via fuzzy logic control and feedback linearization approach. The main contribution of this study is to construct a controller, under appropriate conditions, such that the resulting closed-loop system enjoys for any initial condition and bounded tracking signal the following characteristics: input-to-state stability with respect to disturbance inputs and almost disturbance decoupling, i.e., the influence of disturbances on the L2 norm of the output tracking error can be arbitrarily attenuated by increasing some adjustable parameters. The underlying theoretical approaches are the differential geometry approach and the composite Lyapunov approach. One example, which cannot be solved by the approach from the first paper (Marino et al., 1989) on the almost disturbance decoupling problem, is proposed in this paper to exploit the fact that the almost disturbance decoupling and the convergence rate performances are easily achieved by virtue of our approach. In order to demonstrate the practical applicability, the paper takes up the study of an inverted pendulum control system.
    Źródło:
    Control and Cybernetics; 2010, 39, 4; 1069-1093
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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