Observability conditions of switched linear singular systems  

作　　者：Bin MENG Jifeng ZHANG 

机构地区：[1]National Laboratory of Space Intelligent Control, Beijing Institute of Control Engineering, Chinese Academy of Space Technology, Beijing 100080, China [2]Key Laboratory of Systems Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China

出　　处：《控制理论与应用（英文版）》2007年第2期127-132,共6页

基　　金：the National Natural Science Foundation of China (No. 90405017, 60274021, 60334040);China Postdoctoral Science Foundation (No.20060400415);the 973 Program of China (No. 2002CB312205)

摘　　要：The observability problem of switched linear singular（SLS） systems is studied in this paper. Based on the observability definition, the unobservable subspaces of given switching laws are investigated under the condition that all subsystems are regular. A necessary condition and a sufficient condition for observability of SLS systems are given. It is shown that the observability and controllability are dual for some special SLS systems with circulatory switching laws. The method developed here is applicable to the observability analysis of normal switched linear systems.The observability problem of switched linear singular（SLS） systems is studied in this paper. Based on the observability definition, the unobservable subspaces of given switching laws are investigated under the condition that all subsystems are regular. A necessary condition and a sufficient condition for observability of SLS systems are given. It is shown that the observability and controllability are dual for some special SLS systems with circulatory switching laws. The method developed here is applicable to the observability analysis of normal switched linear systems.

关 键 词：Switched system Singular system OBSERVABILITY Unobservable subspace 

分 类 号：O231.1[理学—运筹学与控制论]