Periodic Stabilization of Discrete-Time Switched Linear Systems

被引：0
|
作者：
Lee, Donghwan [1 ]
Hu, Jianghai [1 ]
机构：
[1] Purdue Univ, Dept Elect & Comp Engn, W Lafayette, IN 47906 USA
来源：
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2015年
关键词：
COMPUTATION; STABILITY;
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：
The goal of this paper is to study stabilization problem for discrete-time linear switched systems. To this end, a periodic state-feedback switching controller is considered along with the generalized periodic Lyapunov inequalities. To compute the control Lyapunov function, a bilinear matrix inequality (BMI) condition is suggested. Then, we focus on developing an iterative algorithm in order to efficiently solve the BMI condition. The algorithm is based on the iterative projection of the Lyapunov matrix onto a matrix polytope. Examples are given to illustrate the proposed design method.
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页码：4260 / 4265
页数：6
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