Delay-Dependent Robust L2-L∞ Filtering for a Class of Fuzzy Stochastic Systems
This paper is concerned with the L2-L∞ filtering problem for a kind of Takagi-Sugeno (T-S) fuzzy stochastic system with time-varying delay and parameter uncertainties. Parameter uncertainties in the system are assumed to satisfy global Lipschitz conditions. And the attention of this paper is focused...
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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/10.1155/2014/673956 |
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| author | Ze Li Xinhao Yang |
| author_facet | Ze Li Xinhao Yang |
| author_sort | Ze Li |
| collection | DOAJ |
| description | This paper is concerned with the L2-L∞ filtering problem for a kind of Takagi-Sugeno (T-S) fuzzy stochastic system with time-varying delay and parameter uncertainties. Parameter uncertainties in the system are assumed to satisfy global Lipschitz conditions. And the attention of this paper is focused on the stochastically mean-square stability of the filtering error system, and the L2-L∞ performance level of the output error with the disturbance input. The method designed for the delay-dependent filter is developed based on linear matrix inequalities. Finally, the effectiveness of the proposed method is substantiated with an illustrative example. |
| format | Article |
| id | doaj-art-b424459f3e834b91bf3f68cf858a93ac |
| 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-b424459f3e834b91bf3f68cf858a93ac2025-08-20T02:23:12ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/673956673956Delay-Dependent Robust L2-L∞ Filtering for a Class of Fuzzy Stochastic SystemsZe Li0Xinhao Yang1College of Electronic and Information Engineering, Suzhou University of Science and Technology, Suzhou 215009, ChinaSchool of Mechanical and Electric Engineering, Soochow University, Suzhou 215006, ChinaThis paper is concerned with the L2-L∞ filtering problem for a kind of Takagi-Sugeno (T-S) fuzzy stochastic system with time-varying delay and parameter uncertainties. Parameter uncertainties in the system are assumed to satisfy global Lipschitz conditions. And the attention of this paper is focused on the stochastically mean-square stability of the filtering error system, and the L2-L∞ performance level of the output error with the disturbance input. The method designed for the delay-dependent filter is developed based on linear matrix inequalities. Finally, the effectiveness of the proposed method is substantiated with an illustrative example.http://dx.doi.org/10.1155/2014/673956 |
| spellingShingle | Ze Li Xinhao Yang Delay-Dependent Robust L2-L∞ Filtering for a Class of Fuzzy Stochastic Systems Abstract and Applied Analysis |
| title | Delay-Dependent Robust L2-L∞ Filtering for a Class of Fuzzy Stochastic Systems |
| title_full | Delay-Dependent Robust L2-L∞ Filtering for a Class of Fuzzy Stochastic Systems |
| title_fullStr | Delay-Dependent Robust L2-L∞ Filtering for a Class of Fuzzy Stochastic Systems |
| title_full_unstemmed | Delay-Dependent Robust L2-L∞ Filtering for a Class of Fuzzy Stochastic Systems |
| title_short | Delay-Dependent Robust L2-L∞ Filtering for a Class of Fuzzy Stochastic Systems |
| title_sort | delay dependent robust l2 l∞ filtering for a class of fuzzy stochastic systems |
| url | http://dx.doi.org/10.1155/2014/673956 |
| work_keys_str_mv | AT zeli delaydependentrobustl2lfilteringforaclassoffuzzystochasticsystems AT xinhaoyang delaydependentrobustl2lfilteringforaclassoffuzzystochasticsystems |