Krein Space-Based H∞ Fault Estimation for Discrete Time-Delay Systems
This paper investigates the finite-time H∞ fault estimation problem for linear time-delay systems, where the delay appears in both state and measurement equations. Firstly, the design of finite horizon H∞ fault estimation is converted into a minimum problem of certain quadratic form. Then we introdu...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/935216 |
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| _version_ | 1850158498709504000 |
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| author | Xinmin Song Xuehua Yan |
| author_facet | Xinmin Song Xuehua Yan |
| author_sort | Xinmin Song |
| collection | DOAJ |
| description | This paper investigates the finite-time H∞ fault estimation problem for linear time-delay systems, where the delay appears in both state and measurement equations. Firstly, the design of finite horizon H∞ fault estimation is converted into a minimum problem of certain quadratic form. Then we introduce a stochastic system in Krein space, and a sufficient and necessary condition for the minimum is derived by applying innovation analysis approach and projection theory. Finally, a solution to the H∞ fault estimation is obtained by recursively computing a partial difference Riccati equation, which has the same dimension as the original system. Compared with the conventional augmented approach, the solving of a high dimension Riccati equation is avoided. |
| format | Article |
| id | doaj-art-649d9d4bc4f74ecbb82f945088a255f4 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-649d9d4bc4f74ecbb82f945088a255f42025-08-20T02:23:51ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/935216935216Krein Space-Based H∞ Fault Estimation for Discrete Time-Delay SystemsXinmin Song0Xuehua Yan1School of Information Science and Engineering, Shandong Normal University, Jinan, Shandong 250014, ChinaSchool of Electrical Engineering, University of Jinan, Jinan, Shandong 250022, ChinaThis paper investigates the finite-time H∞ fault estimation problem for linear time-delay systems, where the delay appears in both state and measurement equations. Firstly, the design of finite horizon H∞ fault estimation is converted into a minimum problem of certain quadratic form. Then we introduce a stochastic system in Krein space, and a sufficient and necessary condition for the minimum is derived by applying innovation analysis approach and projection theory. Finally, a solution to the H∞ fault estimation is obtained by recursively computing a partial difference Riccati equation, which has the same dimension as the original system. Compared with the conventional augmented approach, the solving of a high dimension Riccati equation is avoided.http://dx.doi.org/10.1155/2014/935216 |
| spellingShingle | Xinmin Song Xuehua Yan Krein Space-Based H∞ Fault Estimation for Discrete Time-Delay Systems Abstract and Applied Analysis |
| title | Krein Space-Based H∞ Fault Estimation for Discrete Time-Delay Systems |
| title_full | Krein Space-Based H∞ Fault Estimation for Discrete Time-Delay Systems |
| title_fullStr | Krein Space-Based H∞ Fault Estimation for Discrete Time-Delay Systems |
| title_full_unstemmed | Krein Space-Based H∞ Fault Estimation for Discrete Time-Delay Systems |
| title_short | Krein Space-Based H∞ Fault Estimation for Discrete Time-Delay Systems |
| title_sort | krein space based h∞ fault estimation for discrete time delay systems |
| url | http://dx.doi.org/10.1155/2014/935216 |
| work_keys_str_mv | AT xinminsong kreinspacebasedhfaultestimationfordiscretetimedelaysystems AT xuehuayan kreinspacebasedhfaultestimationfordiscretetimedelaysystems |