Automatica, Vol.42, No.2, 343-348, 2006
New results on delay-dependent robust H-infinity control for systems with time-varying delays
This paper considers the problem of delay-dependent robust Hoc 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-infinity performance level of the closed-loop system for all admissible uncertainties, is proposed in terms of a matrix inequality. (c) 2005 Elsevier Ltd. All rights reserved.
Keywords:bounded real lemma;delay-dependent condition;H-infinity control;time-delay systems;time-varying delays;uncertain systems