Quadratic Stabilization of Switched Uncertain Linear Systems: A Convex Combination Approach  

作　　者：Yufang Chang Guisheng Zhai Bo Fu Lianglin Xiong 

机构地区：[1]the School of Electrical and Electronic Engineering,Hubei University of Technology,Wuhan 430068,China [2]the Department of Mathematical Sciences,Shibaura Institute of Technology,Saitama 337-8570,Japan [3]the School of Mathematics and Computer Science,Yunnan Minzu University,Kunming 650500,China

出　　处：《IEEE/CAA Journal of Automatica Sinica》2019年第5期1116-1126,共11页自动化学报（英文版）

基　　金：supported in part by the Japan Ministry of Education,Sciences and Culture under Grants-in-Aid for Scientific Research(C)(21560471);the Green Industry Leading Program of Hubei University of Technology(CPYF2017003);the National Natural Science Foundation of China(1160147411461082)

摘　　要：We consider quadratic stabilization for a class of switched systems which are composed of a finite set of continuoustime linear subsystems with norm bounded uncertainties. Under the assumption that there is no single quadratically stable subsystem, if a convex combination of subsystems is quadratically stable, then we propose a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched linear system is quadratically stable. When the state information is not available, we extend the discussion to designing an outputdependent switching law by constructing a robust Luenberger observer for each subsystem.We consider quadratic stabilization for a class of switched systems which are composed of a finite set of continuoustime linear subsystems with norm bounded uncertainties. Under the assumption that there is no single quadratically stable subsystem, if a convex combination of subsystems is quadratically stable,then we propose a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched linear system is quadratically stable. When the state information is not available, we extend the discussion to designing an outputdependent switching law by constructing a robust Luenberger observer for each subsystem.

关 键 词：CONVEX combination limear matrix INEQUALITIES (LMIs) norm BOUNDED uncertainties output-dependent switching  quadratic stabilization state-dependent SWITCHING SWITCHED uncertain linear systems(SULS) 

分 类 号：TP[自动化与计算机技术]