Set-membership state estimation for time-varying complex networks: two zonotopic design methods
This article studies the zonotopic set-membership state estimation problem for linear time-varying complex networks with unknown-but-bounded (UBB) noises, where the UBB noises are contained by a set of zonotopes. The objective of the addressed problem is to give two design methods, namely the correc...
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| Published in | International journal of general systems Vol. 54; no. 2; pp. 218 - 239 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Abingdon
Taylor & Francis
17.02.2025
Taylor & Francis LLC |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0308-1079 1563-5104 |
| DOI | 10.1080/03081079.2024.2375443 |
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| Abstract | This article studies the zonotopic set-membership state estimation problem for linear time-varying complex networks with unknown-but-bounded (UBB) noises, where the UBB noises are contained by a set of zonotopes. The objective of the addressed problem is to give two design methods, namely the correction matrix method and the state observer method, where a time-varying zonotopic sequence containing all possible states of the system is obtained. The expressions of the correction matrix and the observer gain are given under the F-radius criterion, and the desired minimum zonotopes are obtained. In addition, a state observer based on the measured output at the current moment is designed to analyze the equivalence between the above two methods. Finally, in order to demonstrate the effectiveness of the proposed state estimation algorithms, two simulation examples are presented. |
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| AbstractList | This article studies the zonotopic set-membership state estimation problem for linear time-varying complex networks with unknown-but-bounded (UBB) noises, where the UBB noises are contained by a set of zonotopes. The objective of the addressed problem is to give two design methods, namely the correction matrix method and the state observer method, where a time-varying zonotopic sequence containing all possible states of the system is obtained. The expressions of the correction matrix and the observer gain are given under the F-radius criterion, and the desired minimum zonotopes are obtained. In addition, a state observer based on the measured output at the current moment is designed to analyze the equivalence between the above two methods. Finally, in order to demonstrate the effectiveness of the proposed state estimation algorithms, two simulation examples are presented. |
| Author | Chen, Dongyan Hu, Jun Yao, Mengyuan Yang, Ning |
| Author_xml | – sequence: 1 givenname: Mengyuan surname: Yao fullname: Yao, Mengyuan organization: Harbin University of Science and Technology – sequence: 2 givenname: Dongyan surname: Chen fullname: Chen, Dongyan email: chendongyan@hrbust.edu.cn organization: Harbin University of Science and Technology – sequence: 3 givenname: Jun surname: Hu fullname: Hu, Jun email: jhu@hrbust.edu.cn organization: Harbin University of Science and Technology – sequence: 4 givenname: Ning surname: Yang fullname: Yang, Ning organization: Harbin University of Science and Technology |
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| Cites_doi | 10.1080/00207721.2021.1995528 10.1109/TNNLS.2022.3209135 10.1016/j.automatica.2004.12.008 10.1049/cth2.v14.13 10.1109/TNSE.2021.3137320 10.1109/TAC.2015.2390554 10.1109/TAC.2006.878750 10.1016/j.jfranklin.2017.08.012 10.1016/j.automatica.2013.08.014 10.1080/00207721.2020.1814898 10.1007/s12555-018-0780-8 10.1016/j.neucom.2021.10.070 10.1109/TSMC.2021.3049306 10.1016/j.automatica.2018.03.082 10.3182/20110828-6-IT-1002.02496 10.1016/S0005-1098(97)00188-X 10.1002/asjc.v23.5 10.1080/00207179608921869 10.23919/ECC.2003.7085991 10.1016/j.neucom.2020.06.020 10.1023/A:1011978200643 10.1002/rnc.v23.14 10.1109/TNNLS.5962385 |
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| SubjectTerms | Algorithms correction matrix Matrix methods set-membership state estimation Simulation State estimation state observer State observers Time-varying complex networks zonotopes |
| Title | Set-membership state estimation for time-varying complex networks: two zonotopic design methods |
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