L2 gain analysis of switched systems with average dwell time

被引:0
|
作者
Zhai, GS [1 ]
Hu, B [1 ]
Yasuda, K [1 ]
Michel, AN [1 ]
机构
[1] Wakayama Univ, Fac Syst Engn, Wakayama 6408510, Japan
关键词
switched system; switching law; L-2; gain; average dwell time; piecewise Lyapunov function;
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, we investigate the L-2 gain properties of time-controlled switched systems consisting of several linear subsystems by using an average dwell time approach incorporated with a piecewise Lyapunov function. We show that when all subsystems are Hurwitz stable and have than L-2 gain smaller than a positive scalar gamma (0), than the switched system can achieve any L-2 gain larger than gamma (0) if the average dwell time is chosen sufficiently large. The results is extended to the case where state jumps occur at switching points, and to a class of nonlinear switched systems by considering a Hamilton-Jacobi inequality for each subsystem.
引用
收藏
页码:145 / 149
页数:5
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