Strict LMI approach to the robust stabilization of Takagi-Sugeno fuzzy descriptor systems

This paper deals with the stability and stabilization problems of uncertain descriptor fuzzy systems described by Takagi-Sugeno (TS) fuzzy models. Sufficient conditions are developed to synthesize the feedback controller based on the so-called Parallel Distributed Compensation (PDC) for nominal and uncertain fuzzy descriptor systems. New design conditions are formulated on strict LMIs terms (Linear Matrix Inequalities) which can be solved easily using Matlab tools. A numerical example is provided to show the effectiveness of the proposed results.

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