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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Bibliographic Details
Published inAutomatica (Oxford) Vol. 115; p. 108867
Main Authors Tang, Wentao, Wang, Zhenhua, Zhang, Qinghua, Shen, Yi
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.05.2020
Elsevier
Subjects
Automatic Control Engineering
Computer Science
Descriptor systems
Linear time-varying
Set-membership estimation
Zonotopes
Set-membership estimation
Zonotopes
Descriptor systems
Linear time-varying
Linear time-varying systems
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Summary: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.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2020.108867