A Note on Stability and Stabilization of Discrete-time Systems with Time-varying Delay

被引：0

作者：

Sun, Jian ^{[1
]}

Chen, Jie ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China

来源：

PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE | 2012年

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

Time-delay system; Switched system; Switched Lyapunov function; Linear matrix inequality (LMI); NETWORKED CONTROL-SYSTEMS; OUTPUT-FEEDBACK STABILIZATION; DESIGN;

D O I：

暂无

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 paper is concerned with the stability and stabilization problem of the discrete-time systems with time-varying delay. Using "lifting" technique, a discrete-time system with time-varying delay is transformed into a switched system. On the basis of theories of switched systems, some necessary and sufficient stability conditions are obtained. However, these conditions are hard to check. Using the switched Lyapunov function approach, some equivalent sufficient stability conditions are developed. Based on these conditions, a state feedback controller with varying gains is designed. Numerical examples are given to show the effectiveness of the proposed method.

引用

页码：1430 / 1434

页数：5

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