Observability Conditions of Switched Linear Singular Systems

作     者：Meng Bin Beijing Institute of Control Engineering, China Academy of Space Technology, Beijing 100080 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080 

会议名称：《第25届中国控制会议》

会议日期：2006年

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：This work is supported in part by the National Natural Science Foundation of China under Grants 90405017  60274021  60334040  and in part by the 973 program of China under Grant 2002CB312205 

关 键 词：Switched system! Singular system Observability Unobservable subspace 

摘      要：正The observability problem of switched linear singular systems （SLS） 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.