In this study, we focus on designing a robust piecewise adaptive controller to globally asymptotically stabilize a semilinear parabolic distributed parameter systems (DPSs) with external disturbance, whose nonlinearities are bounded by unknown functions. Firstly, a robust piecewise adaptive control is designed against the unknown nonlinearity and the external disturbance. Then, by constructing an appropriate Lyapunov–Krasovskii functional candidate (LKFC) and using the Wiritinger’s inequality and a variant of the Agmon’s inequality, it is shown that the proposed robust piecewise adaptive controller not only ensures the globally asymptotic stability of the closed-loop system, but also guarantees a given performance. Finally, two simulation examples are given to verify the validity of the design method.


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    Titel :

    Robust piecewise adaptive control for an uncertain semilinear parabolic distributed parameter systems


    Beteiligte:
    Lei, Yanfang (Autor:in) / Li, Junmin (Autor:in) / Zhao, Ailiang (Autor:in)

    Erscheinungsdatum :

    2022-03-01


    Anmerkungen:

    doi:10.15388/namc.2022.27.25195
    Nonlinear Analysis: Modelling and Control; Vol 27 No 2 (2022); 234-253 ; Nonlinear Analysis: Modelling and Control; T. 27 Nr. 2 (2022); 234-253 ; 2335-8963 ; 1392-5113



    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Klassifikation :

    DDC:    629




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