Delay-dependent H∞ control for jumping delayed systems with two Markov processes
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- Shen, H., Chu, Y., Xu, S. et al. Int. J. Control Autom. Syst. (2011) 9: 437. doi:10.1007/s12555-011-0302-4
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.