Technical communique: New results on delay-dependent robust H∞ control for systems with time-varying delays

Authors:
Shengyuan Xu;James Lam;Yun Zou
Affiliations:
Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China;Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong;Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China
Venue:
Automatica (Journal of IFAC)
Year:
2006

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Abstract

This paper considers the problem of delay-dependent robust H"~ 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"~ performance level of the closed-loop system for all admissible uncertainties, is proposed in terms of a matrix inequality.