Observer-based H∞ control for discrete-time T-S fuzzy systems

This paper is concerned with the problem of observer-based H
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control for discrete-time Takagi-Sugeno (T-S) fuzzy systems, and new design methods are presented. By defining a fuzzy Lyapunov function, a new sufficient condition guaranteeing the H
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performance of the T-S fuzzy systems is derived, and the condition is expressed by a set of linear matrix inequalities (LMIs). In comparison with the existing literature, the proposed approach may provide more relaxed condition while ensuring better H
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performance. The simulation results illustrate the effectiveness of the proposed approach.