摘要
In this paper, observer-based static output feedback control problem for discrete-time uncertain switched systems is investigated under an arbitrary switching rule. The main method used in this note is combining switched Lya- punov function (SLF) method with Finsler’s Lemma. Based on linear matrix inequality (LMI) a less conservative stability condition is established and this condition allows extra degree of freedom for stability analysis. Finally, a simulation exam- ple is given to illustrate the efficiency of the result.
In this paper, observer-based static output feedback control problem for discrete-time uncertain switched systems is investigated under an arbitrary switching rule. The main method used in this note is combining switched Lyapunov function （SLF） method with Finsler＇s Lemma. Based on linear matrix inequality （LMI） a less conservative stability condition is established and this condition allows extra degree of freedom for stability analysis. Finally, a simulation example is given to illustrate the efficiency of the result.
基金
This work was supported by Doctorate Foundation of Shenyang Normal University of China (No. 054-554405-01)
关键词
离散时间可变系统
稳定性
不确定系统
输出反馈
Discrete-time switched systems
Stabilization
Uncertainty
Output feedback
Switched Lyapunov function （SLF）
Linear matrix inequality （LMI）
