Stability and Stabilization for A Class of Discrete-Time Piecewise Affine Singular Systems

被引:0
|
作者
Ma, Shuping [1 ]
Boukas, El-Kebir [2 ]
机构
[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China
[2] Ecole Polytech Montreal, Dept Engn Mech, Montreal, PQ H3C 3A7, Canada
来源
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年
基金
中国国家自然科学基金;
关键词
H-INFINITY CONTROL;
D O I
10.1109/CDC.2009.5400141
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 stability and stabilization problems for discrete-time piecewise affine singular systems are discussed. A basic linear matrix inequality (LMI) sufficient condition for the systems to be regular, causal and stable is given. With this condition and some inequalities, a LMI stability condition that makes easier the design of the state feedback controller is proposed, and then the state feedback stabilization problem is solved in terms of LMIs. Finally, a numerical example to illustrate the effectiveness of the method is given.
引用
收藏
页码:6395 / 6400
页数:6
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