Improved Results on Fuzzy H∞ Filter Design for T-S Fuzzy Systems
The fuzzy H∞ filter design problem for T-S fuzzy systems with interval time-varying delay is investigated. The delay is considered as the time-varying delay being either differentiable uniformly bounded with delay derivative in bounded interval or fast varying (with no restrictions on the delay deri...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/392915 |
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| _version_ | 1832561152191627264 |
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| author | Jiyao An Guilin Wen Wei Xu |
| author_facet | Jiyao An Guilin Wen Wei Xu |
| author_sort | Jiyao An |
| collection | DOAJ |
| description | The fuzzy H∞ filter design problem for T-S fuzzy systems with interval time-varying delay is investigated. The delay is considered as the time-varying delay being either differentiable uniformly bounded with delay derivative in bounded interval or fast varying (with no restrictions on the delay derivative). A novel Lyapunov-Krasovskii functional is employed and a tighter upper bound of its derivative is obtained. The resulting criterion thus has advantages over the existing ones since we estimate the upper bound of the derivative of Lyapunov-Krasovskii functional without ignoring some useful terms. A fuzzy H∞ filter is designed to ensure that the filter error system is asymptotically stable and has a prescribed H∞ performance level. An improved delay-derivative-dependent condition for the existence of such a filter is derived in the form of linear matrix inequalities (LMIs). Finally, numerical examples are given to show the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-73c0f91398f140dd881dea3d631324b9 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-73c0f91398f140dd881dea3d631324b92025-02-03T01:25:52ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/392915392915Improved Results on Fuzzy H∞ Filter Design for T-S Fuzzy SystemsJiyao An0Guilin Wen1Wei Xu2State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Institute of Space Technology, Hunan University, Changsha 410082, ChinaState Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Institute of Space Technology, Hunan University, Changsha 410082, ChinaFaculty of Engineering and Information Technology, University of Technology Sydney, NSW 2007 Sydney, AustraliaThe fuzzy H∞ filter design problem for T-S fuzzy systems with interval time-varying delay is investigated. The delay is considered as the time-varying delay being either differentiable uniformly bounded with delay derivative in bounded interval or fast varying (with no restrictions on the delay derivative). A novel Lyapunov-Krasovskii functional is employed and a tighter upper bound of its derivative is obtained. The resulting criterion thus has advantages over the existing ones since we estimate the upper bound of the derivative of Lyapunov-Krasovskii functional without ignoring some useful terms. A fuzzy H∞ filter is designed to ensure that the filter error system is asymptotically stable and has a prescribed H∞ performance level. An improved delay-derivative-dependent condition for the existence of such a filter is derived in the form of linear matrix inequalities (LMIs). Finally, numerical examples are given to show the effectiveness of the proposed method.http://dx.doi.org/10.1155/2010/392915 |
| spellingShingle | Jiyao An Guilin Wen Wei Xu Improved Results on Fuzzy H∞ Filter Design for T-S Fuzzy Systems Discrete Dynamics in Nature and Society |
| title | Improved Results on Fuzzy H∞ Filter Design for T-S Fuzzy Systems |
| title_full | Improved Results on Fuzzy H∞ Filter Design for T-S Fuzzy Systems |
| title_fullStr | Improved Results on Fuzzy H∞ Filter Design for T-S Fuzzy Systems |
| title_full_unstemmed | Improved Results on Fuzzy H∞ Filter Design for T-S Fuzzy Systems |
| title_short | Improved Results on Fuzzy H∞ Filter Design for T-S Fuzzy Systems |
| title_sort | improved results on fuzzy h∞ filter design for t s fuzzy systems |
| url | http://dx.doi.org/10.1155/2010/392915 |
| work_keys_str_mv | AT jiyaoan improvedresultsonfuzzyhfilterdesignfortsfuzzysystems AT guilinwen improvedresultsonfuzzyhfilterdesignfortsfuzzysystems AT weixu improvedresultsonfuzzyhfilterdesignfortsfuzzysystems |