Delay-Dependent H∞ Filtering for Singular Time-Delay Systems
This paper deals with the problem of delay-dependent H∞ filtering for singular time-delay systems. First, a new delay-dependent condition which guarantees that the filter error system has a prescribed H∞ performance γ is given in terms of linear matrix inequalities (LMIs). Then, the sufficient condi...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/760878 |
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| _version_ | 1850160118768861184 |
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| author | Zhenbo Li Shuqian Zhu |
| author_facet | Zhenbo Li Shuqian Zhu |
| author_sort | Zhenbo Li |
| collection | DOAJ |
| description | This paper deals with the problem of delay-dependent H∞ filtering for singular time-delay systems. First, a new delay-dependent condition which guarantees that the filter error system has a prescribed H∞ performance γ is given in terms of linear matrix inequalities (LMIs). Then, the sufficient condition is obtained for the existence of the H∞ filter, and the explicit expression for the desired H∞ filter is presented by using LMIs and the cone complementarity linearization iterative algorithm. A numerical example is provided to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-b3d680cfb92045ddae2c280973b7eac4 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b3d680cfb92045ddae2c280973b7eac42025-08-20T02:23:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/760878760878Delay-Dependent H∞ Filtering for Singular Time-Delay SystemsZhenbo Li0Shuqian Zhu1School of Statistics and Mathematics, Shandong Economic University, Jinan 250014, ChinaSchool of Mathematics, Shandong University, Jinan 250100, ChinaThis paper deals with the problem of delay-dependent H∞ filtering for singular time-delay systems. First, a new delay-dependent condition which guarantees that the filter error system has a prescribed H∞ performance γ is given in terms of linear matrix inequalities (LMIs). Then, the sufficient condition is obtained for the existence of the H∞ filter, and the explicit expression for the desired H∞ filter is presented by using LMIs and the cone complementarity linearization iterative algorithm. A numerical example is provided to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2011/760878 |
| spellingShingle | Zhenbo Li Shuqian Zhu Delay-Dependent H∞ Filtering for Singular Time-Delay Systems Discrete Dynamics in Nature and Society |
| title | Delay-Dependent H∞ Filtering for Singular Time-Delay Systems |
| title_full | Delay-Dependent H∞ Filtering for Singular Time-Delay Systems |
| title_fullStr | Delay-Dependent H∞ Filtering for Singular Time-Delay Systems |
| title_full_unstemmed | Delay-Dependent H∞ Filtering for Singular Time-Delay Systems |
| title_short | Delay-Dependent H∞ Filtering for Singular Time-Delay Systems |
| title_sort | delay dependent h∞ filtering for singular time delay systems |
| url | http://dx.doi.org/10.1155/2011/760878 |
| work_keys_str_mv | AT zhenboli delaydependenthfilteringforsingulartimedelaysystems AT shuqianzhu delaydependenthfilteringforsingulartimedelaysystems |