Observer-based control for uncertain T–S fuzzy systems with process disturbances and time-delays

Rui Shi, Guangtian Shi and Yanliang Cui

International Journal of Systems Science, 2020, vol. 51, issue 16, 3213-3224

Abstract: This paper concerns the observer-based robust control for uncertain Takagi–Sugeno(T–S) fuzzy systems with disturbances and time delays. An observer is firstly employed to estimate the system state, afterwards, a memorise feedback control law is furthermore proposed. Since the observer state can not be directly influenced by the system uncertainties and disturbances, the proposed control law brings merit on improving system robustness. A mode-dependent Lyapunov-Krasovskii functional (LKF) is designed. By aid of a linear decoupling method, the original nonlinear pair of the observer and the controller gains can be feasibly decoupled. By this method, the co-design method of the observer and controller is conveniently presented. In presence of the time-varying delays, process disturbances and the system uncertainties, the asymptotical stability of the closed-loop system can be guaranteed. Numerical example is given the validate effectiveness of the proposed method.

Date: 2020
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DOI: 10.1080/00207721.2020.1809748

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