Finite-Time Annular Domain Stability and Asynchronous H∞ Control for Stochastic Switching Markov Jump Systems

被引：4

作者：

Zhang, Weihai ^{[1
]}

Zhong, Shiyu ^{[1
]}

Jiang, Xiushan ^{[2
]}

机构：

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

[2] China Univ Petr East China, Coll New Energy, Qingdao 266580, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2024年 / 69卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Switches; Control systems; Stability criteria; Delays; Markov processes; Asymptotic stability; Symmetric matrices; Asynchronous H-infinity control; finite-time annular domain stability; mode-dependent average dwell time (MDADT); stochastic switching Markov jump systems (SM[!text type='JS']JS[!/text]s); LINEAR-SYSTEMS; STABILIZATION;

D O I：

10.1109/TAC.2024.3379248

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article mainly investigates the stochastic finite-time annular domain stability (SFTADS) and asynchronous H-infinity control for nonlinear stochastic switching Markov jump systems (SMJSs). First, the criterion of SFTADS of the system is given by the mode-dependent average dwell time method, and two results, which consider particular cases with no switching signal and no Markov jump, are obtained. Second, when there are asynchronous phenomena in both deterministic switching and Markov jump, the asynchronous H-infinity controller is given to make the nonlinear SMJS finite-time annular domain bounded with a prescribed disturbance attenuation level. In addition, two degradation results with no deterministic asynchrony and no stochastic asynchrony are derived, respectively. As a special case, the corresponding result of linear SMJSs is obtained. Finally, an example is given to illustrate the results.

引用

页码：6277 / 6284

页数：8

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