Robust adaptive sliding-mode control for fuzzy systems with mismatched uncertainties

Authors:
Jinhui Zhang;Peng Shi;Yuanqing Xia
Affiliations:
Department of Automatic Control, Beijing Institute of Technology, Beijing, China;Dept. of Computing and Mathematical Sciences, Univ. of Giamorgan, Pontypridd, U.K. and School of Eng. and Science, Victoria Univ., Melbourne, Vic., Australia and School of Mathematics and Statisti ...;Department of Automatic Control, Beijing Institute of Technology, Beijing, China
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2010

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Abstract

This paper is devoted to design adaptive sliding-mode controllers for the Takagi-Sugeno (T-S) fuzzy system with mismatched uncertainties and exogenous disturbances. The uncertainties in state matrices are mismatched and norm-bounded, while the exogenous disturbances are assumed to be bounded with an unknown bound, which is estimated by a simple and effective adaptive approach. Both state- and static-output-feedback slidingmode-control problems are considered. In terms of linear-matrix inequalities (LMIs), both sliding surfaces and sliding-mode controllers can be easily obtained via a convex optimization technique. Finally, two simulation examples and a real experiment are utilized to illustrate the applicability and effectiveness of the design procedures proposed in this paper.