Krein-space based robust H∞ fault estimation for two-dimensional uncertain linear discrete time-varying systems
In this study, the robust H∞ fault estimation problem for two-dimensional linear time-varying systems with norm-bounded unknown input, measurement noise, and time-varying process uncertainty is investigated. By introducing an equivalent auxiliary system and a new certain indefinite quadratic form pe...
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| Published in | Systems & control letters Vol. 115; pp. 41 - 47 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Elsevier B.V
01.05.2018
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| Abstract | In this study, the robust H∞ fault estimation problem for two-dimensional linear time-varying systems with norm-bounded unknown input, measurement noise, and time-varying process uncertainty is investigated. By introducing an equivalent auxiliary system and a new certain indefinite quadratic form performance function, the system uncertainty can be appropriately considered into the new performance function and the fault estimator design is converted to the minimization problem of a quadratic form. Based on the partially equivalence property between the deterministic quadratic form problem and the Krein space estimation theory, the two-dimensional H∞ fault estimation problem can be solved via signal deconvolution in Krein space. Through employing projection operation and Riccati-like difference equation in two dimensions, both the recursive form fault estimator and the explicit condition for existence of the estimator are derived. One Darboux equation example is provided to illustrate the effectiveness of the proposed fault estimator. |
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| AbstractList | In this study, the robust H∞ fault estimation problem for two-dimensional linear time-varying systems with norm-bounded unknown input, measurement noise, and time-varying process uncertainty is investigated. By introducing an equivalent auxiliary system and a new certain indefinite quadratic form performance function, the system uncertainty can be appropriately considered into the new performance function and the fault estimator design is converted to the minimization problem of a quadratic form. Based on the partially equivalence property between the deterministic quadratic form problem and the Krein space estimation theory, the two-dimensional H∞ fault estimation problem can be solved via signal deconvolution in Krein space. Through employing projection operation and Riccati-like difference equation in two dimensions, both the recursive form fault estimator and the explicit condition for existence of the estimator are derived. One Darboux equation example is provided to illustrate the effectiveness of the proposed fault estimator. |
| Author | Zhao, Dong Wang, Youqing Ding, Steven X. Li, Yueyang |
| Author_xml | – sequence: 1 givenname: Dong surname: Zhao fullname: Zhao, Dong email: dong.zhao@uni-due.de organization: Institute for Automatic Control and Complex Systems (AKS), University of Duisburg–Essen, Duisburg, 47057, Germany – sequence: 2 givenname: Steven X. surname: Ding fullname: Ding, Steven X. email: steven.ding@uni-due.de organization: Institute for Automatic Control and Complex Systems (AKS), University of Duisburg–Essen, Duisburg, 47057, Germany – sequence: 3 givenname: Youqing surname: Wang fullname: Wang, Youqing email: wang.youqing@ieee.org organization: College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China – sequence: 4 givenname: Yueyang orcidid: 0000-0002-1614-0302 surname: Li fullname: Li, Yueyang email: cse_liyy@ujn.edu.cn organization: School of Electrical Engineering, University of Jinan, Jinan 250022, China |
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| Keywords | Krein space Two-dimensional systems Uncertain systems Fault estimation Time-varying systems |
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