H∞ output feedback control for uncertain stochastic systems with time-varying delays

Authors:
Shengyuan Xu;Tongwen Chen
Affiliations:
Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China;Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2V4
Venue:
Automatica (Journal of IFAC)
Year:
2004

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Abstract

This paper deals with the problem of H"~ output feedback control for uncertain stochastic systems with time-varying delays. The parameter uncertainties are assumed to be time-varying norm-bounded. The aim is the design of a full-order dynamic output feedback controller ensuring robust exponential mean-square stability and a prescribed H"~ performance level for the resulting closed-loop system, irrespective of the uncertainties. A sufficient condition for the existence of such an output feedback controller is obtained and the expression of desired controllers is given.