Robust stabilization of discrete-time switched non-linear systems with time delay under asynchronous switching

被引：15

作者：

Xiang, Zhengrong ^{[1
]}

Wang, Ronghao ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China

[2] PLA Univ Sci & Technol, Engn Inst Engn Corps, Nanjing 210007, Peoples R China

来源：

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2011年 / 33卷 / 05期

基金：

中国国家自然科学基金;

关键词：

asynchronous switching; discrete-time switched systems; robust stabilization; time delay; H-INFINITY CONTROL; LINEAR-SYSTEMS; STABILITY;

D O I：

10.1177/0142331210371815

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 investigates the problem of robust stabilization of uncertain discrete-time switched non-linear systems with time delay under asynchronous switching. By using the average dwell time approach and piecewise Lyapunov functional technique, a state feedback controller is developed for the discrete-time switched system under asynchronous switching, and sufficient conditions for the existence of the controller are derived. Then, the proposed approach is extended to design robust stabilizing controller for the switched non-linear system with time delay under asynchronous switching. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

引用

页码：591 / 609

页数：19

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