| Observability conditions of switched linear singular systems |
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| 作者姓名： | Bin MENG Jifeng ZHANG Siying ZHANG |
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| 作者单位： | National Laboratory of Space Intelligent Control，Beijing Institute of Control Engineering，Chinese Academy of Space Technology，Beijing 100080，China; Key Laboratory of Systems Control，Academy of Mathematics and Systems Science，Chinese Academy of Sciences，Beijing 100080，China |
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| 基金项目： | This work was supported in part by the National Natural Science Foundation of China （No. 90405017, 60274021, 60334040）, China Postdoctoral Science Foundation （No.20060400415）, and in part by the 973 Program of China （No. 2002CB312205）. |
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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.
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| 关 键 词： | 切换系统 线性奇异系统 可观测性条件 不可观测性子空间 |
| 收稿时间： | 2006-04-16 |
| 修稿时间： | 2006-09-16 |
Observability conditions of switched
linear singular systems |
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| Bin MENG,Jifeng ZHANG,Siying ZHANG.Observability conditions of switched linear singular systems[J].Journal of Control Theory and Applications,2007,5(2):127-132. |
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| Authors: | Bin MENG;Jifeng ZHANG;Siying ZHANG |
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| Affiliation: | 1. National Laboratory of Space Intelligent Control, Beijing Institute of Control Engineering, Chinese Academy of Space Technology, Beijing 100080, China;Key Laboratory of Systems Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences,Beijing 100080,China
2. Key Laboratory of Systems Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | 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. |
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| Keywords: | Switched system Singular system Observability Unobservable subspace |
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