Filter Design for Nonlinear Systems With Time-Delay Through T–S Fuzzy Model Approach

Authors:
Chong Lin;Qing-Guo Wang;Tong Heng Lee;Bing Chen
Affiliations:
Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore;-;-;-
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2008

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Abstract

This paper is concerned with the Hinfin filter design for nonlinear systems with time-varying delay via Takagi-Sugeno fuzzy model approach. Delay-dependent design method is proposed in terms of linear matrix inequalities (LMIs), which forms the main contribution of this paper. The main technique used is the free-weighting matrix method combined with a matrix decoupling approach. The results for rate-independent case, delay-independent case, and delay-free case are also given as easy corollaries. An illustrative example is given to show the effectiveness of the present method.