Uniform global practical asymptotic stability for time-varying cascaded systems

被引：23
|
作者：
Chaillet, Antoine
Loria, Antonio
机构：
[1] Ctr Ric Piaggio, Fac Ingn Pisa, I-56100 Pisa, Italy
[2] CNRS, LSS, Supelec, F-91192 Gif Sur Yvette, France
来源：
EUROPEAN JOURNAL OF CONTROL | 2006年 / 12卷 / 06期
关键词：
Lyapunov stability; robustness analysis; nonlinear time-varying systems; practical stability; disturbance rejection;
D O I：
10.3166/ejc.12.595-605
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 aims to give sufficient conditions for a cascade composed of nonlinear time-varying systems that are uniformly globally practically asymptotically stable (UGPAS) to be UGPAS. These conditions are expressed as relations between the Lyapunov function of the driven subsystem and the interconnection term. Our results generalise previous theorems that establish the uniform global asymptotic stability of cascades and its application is illustrated by characterising the effect of smoothing control laws in disturbance rejection.
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页码：595 / 605
页数：11
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