Multiple Lyapunov functions approach to observer-based H control for switched systems

被引：18
|
作者：
Li, Li-li [1 ,2 ]
Zhao, Jun [1 ]
Dimirovski, Georgi M. [3 ,4 ]
机构：
[1] Northeastern Univ, Key Lab Integrated Automat Proc Ind, Minist Educ, Shenyang 110004, Peoples R China
[2] Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China
[3] Dogus Univ, Dept Comp Engn, TR-34722 Istanbul, Turkey
[4] SS Cyril & Methodius Univ, FEEIT Sch, MK-1000 Skopje, North Macedonia
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2013年 / 44卷 / 05期
关键词：
switched systems; observer; H; control; exponential stabilisation; multiple Lyapunov functions; STABILIZATION; DESIGN; L-2-GAIN;
D O I：
10.1080/00207721.2011.625479
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article investigates the issue of H control for a class of continuous-time switched Lipschitz nonlinear systems. None of the individual subsystems is assumed to be stabilisable with H disturbance attenuation. Based on a generalised multiple Lyapunov functions (GMLFs) approach, which removes the nonincreasing requirement at switching points, a sufficient condition for the solvability of the H control problem under a state estimation-dependent switching law is presented. Observers, controllers and a switching law are simultaneously designed. As an extension, a sufficient condition for exponential stabilisability is also given.
引用
收藏
页码：812 / 819
页数：8
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