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Observability conditions of switched linear singular systems

Observability conditions of switched linear singular systems
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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.
作者 Bin MENG Jifeng ZHANG
机构地区 National Laboratory of Space Intelligent Control Key Laboratory of Systems Control
出处 《控制理论与应用（英文版）》 EI 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)
关键词 Switched system Singular system OBSERVABILITY Unobservable subspace Switched system Singular system Observability Unobservable subspace
分类号 O231.1 [理学—运筹学与控制论]
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参考文献12

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二级参考文献27

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控制理论与应用（英文版）
2007年 第2期

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