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New results on delay-dependent robust \(H_{\infty}\) control for systems with time-varying delays. (English) Zbl 1099.93010
Summary: This paper considers the problem of delay-dependent robust \(H_{\infty }\) control for uncertain systems with time-varying delays. An improved delay-dependent bounded real lemma (BRL) for time-delay systems is established in terms of a linear matrix inequality. Based on the obtained BRL, a delay-dependent condition for the existence of a state feedback controller, which ensures asymptotic stability and a prescribed \(H_{\infty }\) performance level of the closed-loop system for all admissible uncertainties, is proposed in terms of a matrix inequality.

MSC:
93B36 \(H^\infty\)-control
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