Event-based state estimation under constrained bit rate: An encoding–decoding approach
This paper is concerned with the state estimation problem for a class of linear continuous-time systems under bit rate constraints. The data transmission between the sensors and the estimator is implemented through a digital communication network with limited bandwidth. By resorting to the singular...
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| Vydané v: | Automatica (Oxford) Ročník 143; s. 110421 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier Ltd
01.09.2022
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| ISSN: | 0005-1098, 1873-2836 |
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| Abstract | This paper is concerned with the state estimation problem for a class of linear continuous-time systems under bit rate constraints. The data transmission between the sensors and the estimator is implemented through a digital communication network with limited bandwidth. By resorting to the singular value decomposition technique, an event-based encoding strategy is developed to encode the measurement signals into 1-bit codewords so as to reduce network resource consumption. The Zeno phenomenon is first proven to be excluded, and then a sufficient condition is established under which the decoding error is ultimately bounded. Subsequently, a necessary condition is proposed to derive a lower bound of the bit rate below which the decoding error diverges. Moreover, the explicit expression of the desired state estimator is parameterized and the boundedness of the estimation errors is also analyzed. Finally, two simulation examples are presented to validate the effectiveness of the proposed theoretical results. |
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| AbstractList | This paper is concerned with the state estimation problem for a class of linear continuous-time systems under bit rate constraints. The data transmission between the sensors and the estimator is implemented through a digital communication network with limited bandwidth. By resorting to the singular value decomposition technique, an event-based encoding strategy is developed to encode the measurement signals into 1-bit codewords so as to reduce network resource consumption. The Zeno phenomenon is first proven to be excluded, and then a sufficient condition is established under which the decoding error is ultimately bounded. Subsequently, a necessary condition is proposed to derive a lower bound of the bit rate below which the decoding error diverges. Moreover, the explicit expression of the desired state estimator is parameterized and the boundedness of the estimation errors is also analyzed. Finally, two simulation examples are presented to validate the effectiveness of the proposed theoretical results. |
| ArticleNumber | 110421 |
| Author | Wei, Guoliang Zhao, Di Wang, Licheng Wang, Zidong |
| Author_xml | – sequence: 1 givenname: Licheng surname: Wang fullname: Wang, Licheng email: wanglicheng1217@163.com organization: College of Automation Engineering, Shanghai University of Electric Power, Shanghai 200090, China – sequence: 2 givenname: Zidong surname: Wang fullname: Wang, Zidong email: Zidong.Wang@brunel.ac.uk organization: Department of Computer Science, Brunel University London, Uxbridge, Middlesex, UB8 3PH, United Kingdom – sequence: 3 givenname: Di surname: Zhao fullname: Zhao, Di email: zhaodi0907520@163.com organization: College of Science, the Biomedical Engineering Postdoctoral Research Mobile Station, University of Shanghai for Science and Technology, Shanghai 200093, China – sequence: 4 givenname: Guoliang surname: Wei fullname: Wei, Guoliang email: guoliang.wei@usst.edu.cn organization: Business School, University of Shanghai for Science and Technology, Shanghai 200093, China |
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