An Extended Convex Combination Approach for Quadratic L_(2)Performance Analysis of Switched Uncertain Linear Systems  

作　　者：Yufang Chang Guisheng Zhai Lianglin Xiong Bo Fu 

机构地区：[1]Hubei Collaborative Innovation Center for High-efficiency Utilization of Solar Energy,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》2022年第9期1706-1709,共4页自动化学报（英文版）

基　　金：the National Natural Science Foundation of China(61903129)。

摘　　要：Dear Editor,This letter is concerned with quadratic L_(2) performance(quadratic stability and L_(2) gain)for switched uncertain linear systems(SULS)with norm-bounded uncertainties.Assuming that no single uncertain subsystem achieves quadratic L_(2) performanceγbut a convex combination of the subsystems can make it,we propose a state-dependent switching law such that the SULS achieves the desired quadratic L_(2) performance.The discussion is extended to the SULS with state feedback control,and a sufficient condition is proposed to design the state feedback gains and the switching law simultaneously.

关 键 词：QUADRATIC LETTER CONVEX 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]