Mixed $H_2/H_{\infty}$ Control Control of Delayed Markov Jump Linear Systems
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 control are proposed. Finally, we apply a numerical simulation for examining the effectiveness of the proposed mixed controller designing method.
Cite
@article{arxiv.1908.04001,
title = {Mixed $H_2/H_{\infty}$ Control Control of Delayed Markov Jump Linear Systems},
author = {Wenjie Mei and Chengyan Zhao and Masaki Ogura and Kenji Sugimoto},
journal= {arXiv preprint arXiv:1908.04001},
year = {2020}
}
Comments
Accepted for publication in IET Control Theory & Applications