Stability of T-S Fuzzy Systems with Time-Varying Delay

Chapter

Abstract

Takagi-Sugeno (T-S) fuzzy systems [1] combine the flexibility of fuzzy logic and the rigorous mathematics of a nonlinear system into a unified framework. A variety of analytical methods have been used to express asymptotic stability criteria for them in terms of LMIs [2, 3, 4, 5]. All of these methods are for systems with no delay. In the real world, however, delays often occur in chemical, metallurgical, biological, mechanical, and other types of dynamic systems. Furthermore, a delay usually causes instability and degrades performance. Thus, the analysis of the stability of T-S fuzzy systems is not only of theoretical interest, but also of practical value [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24].

Keywords

IEEE Transaction Fuzzy System Guarantee Cost Control Fuzzy Model Approach Asymptotic Stability Criterion 
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