Fuzzy sliding mode control for uncertain nonlinear systems

Authors:
Shao-Cheng Qu;Yong-Ji Wang
Affiliations:
Department of Control Science and Engineering, Huazhong University of Science and technology, Wuhan, China;Department of Control Science and Engineering, Huazhong University of Science and technology, Wuhan, China
Venue:
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I
Year:
2005

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Abstract

The novel fuzzy sliding mode control problem is presented for a class of uncertain nonlinear systems. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a class of complex uncertain nonlinear system. A virtual state feedback technology is proposed to design the sliding mode plane. Based on Lyapunov stability theory, sufficient conditions for design of the fuzzy sliding model control are given. Design of the sliding mode controller based on reaching law concept is developed, which to ensure system trajectories from any initial states asymptotically convergent to sliding mode plane. The global asymptotic stability is guaranteed. A numerical example with simulation results is given to illustrate the effectiveness of the proposed method.