Finite-time stability and asynchronous resilient control for Ito stochastic semi-Markovian jump systems

被引：13

作者：

Zhong, Shiyu ^{[1
]}

Zhang, Weihai ^{[1
]}

Feng, Likang ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2022年 / 359卷 / 04期

基金：

中国国家自然科学基金;

关键词：

MEAN-SQUARE STABILIZATION; H-INFINITY CONTROL; SWITCHED SYSTEMS; LINEAR-SYSTEMS; MODEL;

D O I：

10.1016/j.jfranklin.2022.01.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the finite-time stability and asynchronous resilient control for a class of Ito stochastic semi-Markov jump systems are studied. Firstly, the sufficient conditions of the finite-time stability for stochastic semi-Markovian jump systems are given. Secondly, the state feedback and observer-based finite-time asynchronous resilient controllers are designed. By multiple Lyapunov functions approach, the sufficient conditions for the existence of these two types of controllers which make the system stochastically stabilizable in finite time are given. Compared with nonresilient case, the existence of the resilient controller can eliminate the influence of the uncertainties and get better results. Finally, a numerical example is given to verify the effectiveness of our results. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1531 / 1557

页数：27

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