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.


    Access

    Download


    Export, share and cite



    Title :

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


    Contributors:
    Lei, Yanfang (author) / Li, Junmin (author) / Zhao, Ailiang (author)

    Publication date :

    2022-03-01


    Remarks:

    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



    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    DDC:    629