Robust Stability of Singularly Perturbed Impulsive Systems Under Nonlinear Perturbation

被引：34

作者：

Chen, Wu-Hua ^{[1
]}

Yuan, Guo ^{[1
]}

Zheng, Wei Xing ^{[2
]}

机构：

[1] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China

[2] Univ Western Sydney, Sch Comp Engn & Math, Penrith, NSW 2751, Australia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 01期

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

Impulsive systems; robust stability; singular perturbation; EXPONENTIAL STABILITY;

D O I：

10.1109/TAC.2012.2203029

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The robust stability problem for singularly perturbed impulsive systems under nonlinear perturbation is considered. The uncertainties are assumed to be limited by their upper norm bound. By applying the vector Lyapunov function method and a two-time scale comparison principle, a sufficient condition that ensures robust exponential stability for sufficiently small singular perturbation parameter is derived. Moreover, the stability bound of the singular perturbation parameter can be obtained by solving a set of matrix inequalities. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.

引用

页码：168 / 174

页数：7

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