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

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Stability Analysis and Robust Control of Time-Delay Systems

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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 [2–5]. 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 [6–24].

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© 2010 Science Press Beijing and Springer-Verlag Berlin Heidelberg

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(2010). Stability of T-S Fuzzy Systems with Time-Varying Delay. In: Stability Analysis and Robust Control of Time-Delay Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03037-6_11

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