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.
Robust piecewise adaptive control for an uncertain semilinear parabolic distributed parameter systems
2022-03-01
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
Article (Journal)
Electronic Resource
English
DDC: | 629 |
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