Improved Robust H∞ Filtering Approach for Nonlinear Systems
An improved design approach of robust H∞ filter for a class of nonlinear systems described by the Takagi-Sugeno (T-S) fuzzy model is considered. By introducing a free matrix variable, a new sufficient condition for the existence of robust H∞ filter is derived. This condition guarantees that the filt...
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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/10.1155/2014/613026 |
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| _version_ | 1849693815558897664 |
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| author | Jun Chen Haiqiao Sun |
| author_facet | Jun Chen Haiqiao Sun |
| author_sort | Jun Chen |
| collection | DOAJ |
| description | An improved design approach of robust H∞ filter for a class of nonlinear systems described by the Takagi-Sugeno (T-S) fuzzy model is considered. By introducing a free matrix variable, a new sufficient condition for the existence of robust H∞ filter is derived. This condition guarantees that the filtering error system is robustly asymptotically stable and a prescribed H∞ performance is satisfied for all admissible uncertainties. Particularly, the solution of filter parameters which are independent of the Lyapunov matrix can be transformed into a feasibility problem in terms of linear matrix inequalities (LMIs). Finally, a numerical example illustrates that the proposed filter design procedure is effective. |
| format | Article |
| id | doaj-art-4ff04a3dfd2a420c86e1c0b386d40f9d |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4ff04a3dfd2a420c86e1c0b386d40f9d2025-08-20T03:20:17ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/613026613026Improved Robust H∞ Filtering Approach for Nonlinear SystemsJun Chen0Haiqiao Sun1Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education, Institute of Automation, Jiangnan University, Wuxi 214122, ChinaKey Laboratory of Advanced Process Control for Light Industry, Ministry of Education, Institute of Automation, Jiangnan University, Wuxi 214122, ChinaAn improved design approach of robust H∞ filter for a class of nonlinear systems described by the Takagi-Sugeno (T-S) fuzzy model is considered. By introducing a free matrix variable, a new sufficient condition for the existence of robust H∞ filter is derived. This condition guarantees that the filtering error system is robustly asymptotically stable and a prescribed H∞ performance is satisfied for all admissible uncertainties. Particularly, the solution of filter parameters which are independent of the Lyapunov matrix can be transformed into a feasibility problem in terms of linear matrix inequalities (LMIs). Finally, a numerical example illustrates that the proposed filter design procedure is effective.http://dx.doi.org/10.1155/2014/613026 |
| spellingShingle | Jun Chen Haiqiao Sun Improved Robust H∞ Filtering Approach for Nonlinear Systems Abstract and Applied Analysis |
| title | Improved Robust H∞ Filtering Approach for Nonlinear Systems |
| title_full | Improved Robust H∞ Filtering Approach for Nonlinear Systems |
| title_fullStr | Improved Robust H∞ Filtering Approach for Nonlinear Systems |
| title_full_unstemmed | Improved Robust H∞ Filtering Approach for Nonlinear Systems |
| title_short | Improved Robust H∞ Filtering Approach for Nonlinear Systems |
| title_sort | improved robust h∞ filtering approach for nonlinear systems |
| url | http://dx.doi.org/10.1155/2014/613026 |
| work_keys_str_mv | AT junchen improvedrobusthfilteringapproachfornonlinearsystems AT haiqiaosun improvedrobusthfilteringapproachfornonlinearsystems |