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arXiv · 1908.04001

Mixed $H_2/H_{\infty}$ Control Control of Delayed Markov Jump Linear Systems

Wenjie Mei·Chengyan Zhao·Masaki Ogura·Kenji Sugimoto
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Abstract

This paper investigates state feedback control laws for Markov jump linear systems with state and mode-observation delays. An assumption in this study is that the delay of mode observation obeys an exponential distribution. Also, we raise an unknown time-varying state delay applied in the composition of the state feedback controller. A method of remodeling the closed-loop system as a standard Markov jump linear system with state delay is shown. Furthermore, on the basis of this remodeling, several Linear Matrix Inequalities (LMI) for designing feedback gains for stabilization and mixed $H_2/H_{\infty}$ control are proposed. Finally, we apply a numerical simulation for examining the effectiveness of the proposed mixed $H_2/H_{\infty}$ controller designing method.

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Wenjie Mei, Chengyan Zhao, Masaki Ogura, Kenji Sugimoto. 2019-08-12. Mixed $H_2/H_{\infty}$ Control Control of Delayed Markov Jump Linear Systems. https://arxiv.org/abs/1908.04001

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