Robust Adaptive Sliding-Mode Control for Fuzzy Systems With Mismatched Uncertainties

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 a...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2010-08, Vol.18 (4), p.700-711
Main Authors: Zhang, Jinhui, Shi, Peng, Xia, Yuanqing
Format: Article
Language:English
Subjects:
Adaptive control
Adaptive control systems
Control systems
Controllers
Design engineering
Disturbances
Fuzzy systems
Inequalities
Linear matrix inequalities
Mathematical analysis
Optimization
Programmable control
Robust control
Sliding mode control
sliding-mode control (SMC)
State estimation
Takagi-Sugeno (T-S) fuzzy system
Takagi-Sugeno model
Uncertainty
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Summary: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 sliding-mode-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.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2010.2047506