LMI for stability and robustness of hybrid systems

被引：0
|
作者：
Pettersson, S
Lennartson, B
机构：
来源：
PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 1997年
关键词：
hybrid systems; stability; robustness; LMIs;
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 presents results for stability and robustness of hybrid systems consisting of nonlinear subsystems. Present stability results that are extensions of classical Lyapunov theory are restricted to certain kinds of hybrid systems. For example, it is required that all subsystems have the same equilibrium point. In this paper, these results are generalized; but more importantly, it is shown how Lyapunov functions for hybrid systems can be computed solving linear matrix inequalities (LMI). Furthermore, it is shown how uncertainties around the nominal switch sets can be handled by introducing acceptable switch regions as additional stability conditions. The theory is illustrated by an example.
引用
收藏
页码：1714 / 1718
页数：5
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