Delay-dependent stability and H∞ control for a class of fuzzy descriptor systems with time-delay

Authors:
Hongbin Zhang;Yanyan Shen;Gang Feng
Affiliations:
Centre for Nonlinear and Complex Systems, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054, PR China;Center for Networking Control and Bioinformatics, The Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, PR China;Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong
Venue:
Fuzzy Sets and Systems
Year:
2009

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Abstract

This paper addresses issues of stability analysis and H"~ control for a class of fuzzy time-delay descriptor systems described by an extended Takagi-Sugeno (T-S) fuzzy model. A delay-dependent stability criterion is first presented, and a H"~ control synthesis approach is then developed. Both the stability criterion and the H"~ controller synthesis are based on the solutions of linear matrix inequalities (LMIs). Finally, two examples are given to illustrate the effectiveness of the approaches proposed in this paper.