Bounded Real Lemma for Discrete-Time Stochastic Systems with Infinite Markov Jumps
Chinese Control Conference (CCC)（2016）
Shandong Univ Sci & Technol
Abstract
This paper is concerned with the disturbance attenuation property of discrete-time stochastic systems with infinite Markov jump and multiplicative noises. Above all, the finite horizon H ∞ performance is analyzed by means of a group of coupled difference Riccati equations, and a finite horizon bounded real lemma is obtained. Further, two versions of infinite horizon bounded real lemmas are presented for the considered systems in terms of coupled algebraic Riccati equations and linear matrix inequalities (LMI), respectively. As an application of the proposed bounded real lemma, a state-feedback H ∞ control design is provided.
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Key words
infinite Markov chain,bounded real lemma,H-infinity control
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