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

被引：5
|
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
收藏
页码：1566 / 1577
页数：12
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