Guaranteed Cost Control Approach for a Class of T-S Fuzzy Descriptor Delay Systems

Abstract:

A new guaranteed cost controller design approach for a class of Takagi-Sugeno (T-S) fuzzy descriptor systems with time-varying delay is presented. Based on the fuzzy rules and weights, the less conservative sufficient conditions for the existence of guaranteed cost controllers via state feedback are given in terms of linear matrix inequalities (LMIs). This method includes the interactions of the different subsystems into one matrix. And the design of optimal guaranteed cost controller can be formulated to a convex optimization problem. At last, a numerical example is given to illustrate the effectiveness of the proposed method and the perfect performance of the optimal guaranteed cost controller.

• Periodical: Applied Mechanics and Materials (Volumes 241-244)
• Pages: 1148-1153
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.241-244.1148
• Online since: December 2012
• Authors: Wei Hua Tian*, Li Xia Li, Wei Deng, Yan Zhao
• Keywords: Fuzzy Descriptor Systems, Guaranteed Cost Control, Linear Matrix Inequality (LMI), Time-Varying Delay

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