Robust finite-time H∞ control for Itô stochastic semi-Markovian jump systems with delays

Shaoxin Sun, Xin Dai, Zhiliang Wang, Yu Zhou and Xiangpeng Xie

Applied Mathematics and Computation, 2022, vol. 430, issue C

Abstract: This paper concentrates on robust finite-time H∞ control for uncertain Itô stochastic semi-Markovian jump systems with generally uncertain transition rates, multiple state delays and input constraint. There are few attempts for Itô stochastic semi-Markovian jump systems with generally uncertain transition rates. In contrast to the existing results, the system explored in this paper is more general and has more potential applications. By means of the partial transition rate information, a semi-Markovian jump controller is developed to realize fault-tolerant control. Then, a closed-loop system can be gathered. Moreover, a cluster of stability conditions are attained via stochastic Lyapunov function with the way of linear matrix inequalities. Finally, two examples are presented to illustrate this effectiveness of the approach depicted in the work.

Keywords: Itô stochastic systems; Generally uncertain transition rates; Input constraint; Finite-time control; Fault-tolerant controller (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:430:y:2022:i:c:s0096300322002557

DOI: 10.1016/j.amc.2022.127181

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