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 [Formula: see text] 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 [Formula: see text] 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 [Formula: see text] 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.