Dynamic output feedback control for a class of stochastic time-delay systems

Authors:
Lin Li;Yingmin Jia;Junping Du;Shiying Yuan
Affiliations:
Seventh Research Division, Beihang University, Beijing, China;Seventh Research Division, Beihang University, Beijing, China;Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, School of Computer Science and Technology, Beijing University of Posts and Telecommunications, Beijing, P.R. China;School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, Henan, P.R. China
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 4
Cited 0

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Brief Delay-dependent robust H∞ control of uncertain linear state-delayed systems

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Abstract

This paper is concerned with the problem of robust control for a class of uncertain stochastic systems with discrete and distributed time-varying delays via dynamic output feedback control. The parameter uncertainties of system matrices are assumed to be norm-bounded. The purpose is to design a dynamic output feedback controller such that the closed-loop system is robustly stochastically stable for all admissible parameter uncertainties. Based on the stability theory of stochastic systems, a new delay-dependent sufficient condition for the existence of such a controller is obtained and the corresponding controller design method is proposed in terms of linear matrix inequality (LMI). Numerical examples are included to illustrate the effectiveness and the benefits of the proposed method.