The problems of stability analysis and controller design for discrete-time periodic nonlinear quadratic systems are investigated. Firstly, by using Lyapunov function and the concept of periodic invariant set, a sufficient condition for guaranteeing that the assigned polytope belongs to the domain of attraction of the zero equilibrium point. Secondly, it is also show that this problem is related to the problem of finding a state feedback law and an admissible initial condition domain such that the resulting closed-loop system is asymptotic stability for every initial condition from the admissible domain. The proposed algorithm requires the solution of a suitable feasibility problem involving linear matrix inequalities constraints. Finally, two simulation examples are presented to show the effectiveness of the proposed approach.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Stability analysis and controller design for discrete-time periodic nonlinear quadratic systems


    Beteiligte:
    Shugui Kang, (Autor:in) / Xia Zhao, (Autor:in) / Fu Chen, (Autor:in)


    Erscheinungsdatum :

    2016-08-01


    Format / Umfang :

    128524 byte




    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Quadratic Stability of Discrete-Time Switched Systems

    Li, Chunming / Liu, Xiaohua | IEEE | 2008


    Design of Quadratic Regulators for Discrete-Time Polynomial State-Affine Systems

    Rodrigues, E. / AIAA | British Library Conference Proceedings | 1998



    Decentralized Quadratic Stabilization of Interconnected Discrete-Time. Systems

    Yasuda, K. / Yamasaki, M. | British Library Online Contents | 1997