New delay-dependent stabilization conditions of T--S fuzzy systems with constant delay

Authors:
Bing Chen;Xiaoping Liu;Shaocheng Tong
Affiliations:
Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China;Department of Electrical Engineering, Lakehead University, Thunder Bay, Ont., Canada P7B 5E1;Department of Basic Mathematics, Liaoning Institute of Technology, Jinzhou 121000, PR China
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

This paper focuses on the problem of robust control for Takagi-Sugeno (T-S) fuzzy systems with time-delay. The delay-dependent stability analysis and controller synthesis have been addressed. The free weighting matrix method has been used for stability analysis and controller synthesis. New and less conservative delay-dependent stability conditions are proposed in terms of linear matrix inequalities (LMI). Finally, some examples are given to illustrate the effectiveness of the proposed approaches.