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Observability conditions of switched linear singular systems |
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| Authors: | Bin MENG;Jifeng ZHANG;Siying ZHANG |
| Affiliation: | 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 |
| 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. |
| Keywords: | Switched system Singular system Observability Unobservable subspace |
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