H∞ controller design for singular Markov jump systems with time-delays

被引：8

作者：

Zhou, Juan ^{[1
]}

Lai, Huiling ^{[1
]}

Liu, Cuoyi ^{[1
]}

Men, Bo ^{[2
]}

机构：

[1] Northeastern Univ, Coll Sci, Third Lane,Wenhua Rd, Shenyang 110004, Liaoning, Peoples R China

[2] Shenyang Normal Univ, Sch Math & Syst Sci, Shenyang, Peoples R China

来源：

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING | 2022年 / 236卷 / 08期

关键词：

Singular systems; Markov jump systems; time-delay systems; stochastic stability; H-infinity control; Lyapunov stability theory; DEPENDENT STABILIZATION; DISSIPATIVE CONTROL; VARYING DELAYS; LINEAR-SYSTEMS; FUZZY-SYSTEMS; STABILITY;

D O I：

10.1177/09596518221091027

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 article, the H-infinity control problem of a class of singular Markov jump systems with time-varying inputs and state delays is investigated. Based on the Lyapunov stability theory, by constructing a different Lyapunov-Krasovskii functional, the sufficient conditions of being stochastic stable and having H-infinity performance index are given. Then, the design method of state feedback controller is given to ensure the closed-loop system is stochastic stable and has H-infinity performance index. Finally, simulation examples are given to verify the effectiveness of the proposed methods.

引用

页码：1566 / 1577

页数：12

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