Further studies on robust H ∞ control for a class of Takagi–Sugeno fuzzy time-delay systems with application to continuously stirred tank reactor problems

Abstract

This article is concerned with the problem of robust $H_{\infty}$ control for a class of Takagi–Sugeno fuzzy systems with parameter uncertainties and time-varying delays. By constructing a novel Lyapunov–Krasovskii functional and utilizing some integral inequalities, a new bounded real lemma is proposed in terms of linear matrix inequalities. Also, the robust $H_{\infty}$ state feedback control design conditions are obtained on the basis of the cone complementarity linearization algorithm. Moreover, The controller guarantees the robust asymptotic stability of the closed-loop fuzzy system and the $H_{\infty}$ performance of the system from the exogenous signals to the measurement output below a prescribed level. Finally, as an illustrative example, a continuously stirred tank reactor is employed to show the effectiveness of the theoretical results.

Keywords

Takagi–Sugeno fuzzy systems continuously stirred tank reactor linear matrix inequality time-varying delays

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