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Dissipativity based H control for nonlinear stochastic systems with time-varying delays

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2 Author(s)
Huiping Li ; Department of Mechanical Engineering, University of Victoria, B.C., Canada ; Yang Shi

This paper is concerned with the H state feedback control problem for a class of nonlinear stochastic systems with time-varying state delays. Firstly, the stochastic dissipativity of the time-delay nonlinear system is established, based on which the H state feedback controller is synthesized. We show that the closed-loop system rendered by the designed controller can achieve the L2-gain performance and exponential stability in the sense of mean square. Finally, these sufficient conditions are further specialized as solving a linear matrix inequality (LMI) and a bilinear matrix inequality (BMI) for a class of special stochastic nonlinear delayed systems.

Published in:

2011 50th IEEE Conference on Decision and Control and European Control Conference

Date of Conference:

12-15 Dec. 2011