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Delay-Dependent H∞ Control for Jumping Delayed Systems with Two Markov Processes

Hao Shen, Yuming Chu, Shengyuan Xu*, and Zhengqiang Zhang
International Journal of Control, Automation, and Systems, vol. 9, no. 3, pp.437-441, 2011

Abstract : This paper addresses the H∞ control problem for jumping delayed systems with two separable Markov processes. The objective is to design a controller such that the resulting closed-loop system is exponentially mean-square stable with a given decay rate and satisfies a prescribed H∞ performance level. A decay-rate-dependent condition is obtained for the existence of admissible controllers in term of linear matrix inequalities. Two numerical examples are presented to demonstrate the effectiveness of the proposed method.

Keyword : Exponential stability, H∞ control, jumping delayed systems, Markov processes.

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