Robust H∞ control of Takagi--Sugeno fuzzy systems with state and input time delays

Authors:
Bing Chen;Xiaoping Liu;Chong Lin;Kefu Liu
Affiliations:
Institute of Complexity Science, Qingdao University, Qingdao 266000, PR China;Faculty of Electrical Engineering, Lakehead University, Thunder Bay, Ont., Canada P7B 5E1;Institute of Complexity Science, Qingdao University, Qingdao 266000, PR China;Faculty of Electrical Engineering, Lakehead University, Thunder Bay, Ont., Canada P7B 5E1
Venue:
Fuzzy Sets and Systems
Year:
2009

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Abstract

This paper addresses the robust H"~ fuzzy control problem for nonlinear uncertain systems with state and input time delays through Takagi-Sugeno (T-S) fuzzy model approach. The delays are assumed to be interval time-varying delays, and no restriction is imposed on the derivative of time delay. Based on Lyapunov-Krasoviskii functional method, delay-dependent sufficient conditions for the existence of an H"~ controller are proposed in linear matrix inequality (LMI) format. Illustrative examples are given to show the effectiveness and merits of the proposed fuzzy controller design methodology.