Set-membership estimation for linear time-varying descriptor systems
This paper considers the problem of set-membership estimation for discrete-time linear time-varying descriptor systems subject to unknown but bounded disturbance and noise. We propose a set-membership estimation method based on a descriptor system observer and a zonotopic estimator of the observer e...
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| Published in | Automatica (Oxford) Vol. 115; p. 108867 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.05.2020
Elsevier |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0005-1098 1873-2836 1873-2836 |
| DOI | 10.1016/j.automatica.2020.108867 |
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| Abstract | This paper considers the problem of set-membership estimation for discrete-time linear time-varying descriptor systems subject to unknown but bounded disturbance and noise. We propose a set-membership estimation method based on a descriptor system observer and a zonotopic estimator of the observer error bounds. The observer parameters are optimized in order to minimize the sizes of the zonotopes enclosing all admissible state trajectories. Finally, two simulation results are provided to demonstrate the effectiveness of the proposed method. |
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| AbstractList | This paper considers the problem of set-membership estimation for discrete-time linear time-varying descriptor systems subject to unknown but bounded disturbance and noise. We propose a set-membership estimation method based on a descriptor system observer and a zonotopic estimator of the observer error bounds. The observer parameters are optimized in order to minimize the sizes of the zonotopes enclosing all admissible state trajectories. Finally, two simulation results are provided to demonstrate the effectiveness of the proposed method. |
| ArticleNumber | 108867 |
| Author | Tang, Wentao Zhang, Qinghua Wang, Zhenhua Shen, Yi |
| Author_xml | – sequence: 1 givenname: Wentao surname: Tang fullname: Tang, Wentao email: tangwentao2015@hit.edu.cn organization: School of Astronautics, Harbin Institute of Technology, Harbin 150001, PR China – sequence: 2 givenname: Zhenhua surname: Wang fullname: Wang, Zhenhua email: zhenhua.wang@hit.edu.cn organization: School of Astronautics, Harbin Institute of Technology, Harbin 150001, PR China – sequence: 3 givenname: Qinghua surname: Zhang fullname: Zhang, Qinghua email: qinghua.zhang@inria.fr organization: Inria/IFSTTAR, Campus de Beaulieu, 35042, Rennes Cedex, France – sequence: 4 givenname: Yi surname: Shen fullname: Shen, Yi email: shen@hit.edu.cn organization: School of Astronautics, Harbin Institute of Technology, Harbin 150001, PR China |
| BackLink | https://inria.hal.science/hal-02970676$$DView record in HAL |
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| Keywords | Set-membership estimation Zonotopes Descriptor systems Linear time-varying Linear time-varying systems |
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| SubjectTerms | Automatic Control Engineering Computer Science Descriptor systems Linear time-varying Set-membership estimation Zonotopes |
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| Title | Set-membership estimation for linear time-varying descriptor systems |
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