Stability and stabilization of switched linear discrete-time systems with polytopic uncertainties

被引：0
|
作者：
Gao, Huijun [1 ]
Zhang, Lixian
Shi, Peng
Mou, Shaoshuai [2 ]
Wang, Changhong [2 ]
机构：
[1] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada
[2] Harbin Inst Technol, Space Control & Inert Technol Res Ctr, Harbin 150001, Peoples R China
来源：
2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12 | 2006年 / 1-12卷
基金：
中国国家自然科学基金;
关键词：
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：
In this paper, the problems of stability and stabilization of switched linear discrete-time systems with polytopic uncertainties are investigated. A switched parameter-dependent quadratic Lyapunov function is proposed, by which the stability conditions are derived and formulated in terms of a set of linear matrix inequalities. Based on the stability result, control synthesis is then considered and a stabilizing state-feedback controller is obtained by solving a convex optimization problem subject to linear matrix inequalities. Both mode-dependent and parameter-dependent ideas are used in stability analysis and controller design for the underlying systems. Numerical examples are given to show the less conservativeness and the potential of the obtained theoretic results.
引用
收藏
页码：824 / +
页数：2
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