Robust stability and stabilization of uncertain switched discrete-time systems

Advances in Difference Equations

M Rajchakit¹  T Rojsiraphisal²  G Rajchakit³ 

[1] Centre of Excellence in Mathematics, Bangkok, Thailand;Department of Mathematics, Faculty of Science, Chiangmai University, Chiangmai, Thailand;Major of Mathematics and Statistics, Faculty of Science, Maejo University, Chiangmai, Thailand

关键词: switching design;    uncertain discrete system;    robust stability and stabilization;    Lyapunov function;    linear matrix inequality;   

DOI  :  10.1186/1687-1847-2012-134

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the robust stability and stabilization for a class of switched discrete-time systems with state parameter uncertainty. Firstly, a new matrix inequality considering uncertainties is introduced and proved. By means of it, a novel sufficient condition for robust stability and stabilization of a class of uncertain switched discrete-time systems is presented. Furthermore, based on the result obtained, the switching law is designed and has been performed well, and some sufficient conditions of robust stability and stabilization have been derived for the uncertain switched discrete-time systems using the Lyapunov stability theorem, block matrix method, and inequality technology. Finally, some examples are exploited to illustrate the effectiveness of the proposed schemes.

【 授权许可】

CC BY