T-S Fuzzy Model-Based Approximation and Filter Design for Stochastic Time-Delay Systems with Hankel Norm Criterion
This paper investigates the Hankel norm filter design problem for stochastic time-delay systems, which are represented by Takagi-Sugeno (T-S) fuzzy model. Motivated by the parallel distributed compensation (PDC) technique, a novel filtering error system is established....
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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/10.1155/2014/937495 |
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| _version_ | 1832564466446761984 |
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| author | Yanhui Li Xiujie Zhou |
| author_facet | Yanhui Li Xiujie Zhou |
| author_sort | Yanhui Li |
| collection | DOAJ |
| description | This paper investigates the Hankel norm filter design problem for stochastic time-delay systems, which are represented by
Takagi-Sugeno (T-S) fuzzy model. Motivated by the parallel distributed compensation (PDC) technique, a novel filtering error system is established.
The objective is to design a suitable filter that guarantees the corresponding filtering error system to be mean-square asymptotically stable and
to have a specified Hankel norm performance level γ. Based on the Lyapunov stability theory and the Itô differential rule, the Hankel norm criterion is first established by adopting the integral inequality method, which can make some useful efforts in reducing conservativeness. The Hankel norm filtering problem is casted into a convex optimization problem with a convex linearization approach, which expresses all the conditions for the existence of admissible Hankel norm filter as standard linear matrix inequalities (LMIs). The effectiveness of the proposed method is demonstrated via a numerical example. |
| format | Article |
| id | doaj-art-49acab192bde43f19a14dd828b73cb13 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-49acab192bde43f19a14dd828b73cb132025-02-03T01:11:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/937495937495T-S Fuzzy Model-Based Approximation and Filter Design for Stochastic Time-Delay Systems with Hankel Norm CriterionYanhui Li0Xiujie Zhou1College of Electrical and Information Engineering, Northeast Petroleum University, Daqing, Heilongjiang Province 163318, ChinaCollege of Electrical and Information Engineering, Northeast Petroleum University, Daqing, Heilongjiang Province 163318, ChinaThis paper investigates the Hankel norm filter design problem for stochastic time-delay systems, which are represented by Takagi-Sugeno (T-S) fuzzy model. Motivated by the parallel distributed compensation (PDC) technique, a novel filtering error system is established. The objective is to design a suitable filter that guarantees the corresponding filtering error system to be mean-square asymptotically stable and to have a specified Hankel norm performance level γ. Based on the Lyapunov stability theory and the Itô differential rule, the Hankel norm criterion is first established by adopting the integral inequality method, which can make some useful efforts in reducing conservativeness. The Hankel norm filtering problem is casted into a convex optimization problem with a convex linearization approach, which expresses all the conditions for the existence of admissible Hankel norm filter as standard linear matrix inequalities (LMIs). The effectiveness of the proposed method is demonstrated via a numerical example.http://dx.doi.org/10.1155/2014/937495 |
| spellingShingle | Yanhui Li Xiujie Zhou T-S Fuzzy Model-Based Approximation and Filter Design for Stochastic Time-Delay Systems with Hankel Norm Criterion Abstract and Applied Analysis |
| title | T-S Fuzzy Model-Based Approximation and Filter Design for Stochastic Time-Delay Systems with Hankel Norm Criterion |
| title_full | T-S Fuzzy Model-Based Approximation and Filter Design for Stochastic Time-Delay Systems with Hankel Norm Criterion |
| title_fullStr | T-S Fuzzy Model-Based Approximation and Filter Design for Stochastic Time-Delay Systems with Hankel Norm Criterion |
| title_full_unstemmed | T-S Fuzzy Model-Based Approximation and Filter Design for Stochastic Time-Delay Systems with Hankel Norm Criterion |
| title_short | T-S Fuzzy Model-Based Approximation and Filter Design for Stochastic Time-Delay Systems with Hankel Norm Criterion |
| title_sort | t s fuzzy model based approximation and filter design for stochastic time delay systems with hankel norm criterion |
| url | http://dx.doi.org/10.1155/2014/937495 |
| work_keys_str_mv | AT yanhuili tsfuzzymodelbasedapproximationandfilterdesignforstochastictimedelaysystemswithhankelnormcriterion AT xiujiezhou tsfuzzymodelbasedapproximationandfilterdesignforstochastictimedelaysystemswithhankelnormcriterion |