Robust stabilization of switched non-linear systems with time-varying delays under asynchronous switching

被引：16

作者：

Xiang, Z. R. ^{[1
]}

Wang, R. H. ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING | 2009年 / 223卷 / I8期

关键词：

time-varying delays; robust stabilization; switched non-linear systems; asynchronous switching; LINEAR-SYSTEMS; STABILITY;

D O I：

10.1243/09596518JSCE809

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 for switched non-linear systems with time-varying delays under asynchronous switching. Sufficient conditions for the existence of the robust stabilization problem are developed. First, when the switching instants of the controller experience delays with respect to those of the system, a state feedback controller is proposed to guarantee exponential stability for switched systems with time-varying delays. The dwell-time approach and free weighting matrix scheme are utilized for stability analysis and controller design. Then the approach is extended to take into account switched time-delay systems with Lipschitz non-linearities and structured uncertainties. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

引用

页码：1111 / 1128

页数：18

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