Nonfragile H∞ Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay
This paper investigates nonfragile H∞ filter design for a class of continuous-time delayed Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays. Filter parameters occur multiplicative gain variations according to the filter’s implementation, to handle this variations, a nonfragile H∞...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/8198603 |
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| _version_ | 1832551395671146496 |
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| author | Zhongda Lu Guoliang Zhang Yi Sun Jie Sun Fangming Jin Fengxia Xu |
| author_facet | Zhongda Lu Guoliang Zhang Yi Sun Jie Sun Fangming Jin Fengxia Xu |
| author_sort | Zhongda Lu |
| collection | DOAJ |
| description | This paper investigates nonfragile H∞ filter design for a class of continuous-time delayed Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays. Filter parameters occur multiplicative gain variations according to the filter’s implementation, to handle this variations, a nonfragile H∞ filter is presented and a novel filtering error system is established. The nonfragile H∞ filter guarantees the filtering error system to be asymptotically stable and satisfies given H∞ performance index. By constructing a novel Lyapunov-Krasovskii function and using the linear matrix inequality (LMI), delay-dependent conditions are exploited to derive sufficient conditions for nonfragile designing H∞ filter. Using new matrix decoupling method to reduce the computational complexity, the filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, numerical examples are given to show the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-62807db6e49c47479bfe80b991d792f9 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-62807db6e49c47479bfe80b991d792f92025-02-03T06:01:34ZengWileyJournal of Control Science and Engineering1687-52491687-52572018-01-01201810.1155/2018/81986038198603Nonfragile H∞ Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying DelayZhongda Lu0Guoliang Zhang1Yi Sun2Jie Sun3Fangming Jin4Fengxia Xu5College of Mechatronic Engineering, Qiqihar University, Qiqihar 161006, ChinaCollege of Mechatronic Engineering, Qiqihar University, Qiqihar 161006, ChinaState Grid Heilongjiang Electric Power Company Qiqihar Power Supply Company, Qiqihar 161006, ChinaState Grid Heilongjiang Electric Power Company Qiqihar Power Supply Company, Qiqihar 161006, ChinaState Grid Heilongjiang Electric Power Company Qiqihar Power Supply Company, Qiqihar 161006, ChinaCollege of Mechatronic Engineering, Qiqihar University, Qiqihar 161006, ChinaThis paper investigates nonfragile H∞ filter design for a class of continuous-time delayed Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays. Filter parameters occur multiplicative gain variations according to the filter’s implementation, to handle this variations, a nonfragile H∞ filter is presented and a novel filtering error system is established. The nonfragile H∞ filter guarantees the filtering error system to be asymptotically stable and satisfies given H∞ performance index. By constructing a novel Lyapunov-Krasovskii function and using the linear matrix inequality (LMI), delay-dependent conditions are exploited to derive sufficient conditions for nonfragile designing H∞ filter. Using new matrix decoupling method to reduce the computational complexity, the filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, numerical examples are given to show the effectiveness of the proposed method.http://dx.doi.org/10.1155/2018/8198603 |
| spellingShingle | Zhongda Lu Guoliang Zhang Yi Sun Jie Sun Fangming Jin Fengxia Xu Nonfragile H∞ Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay Journal of Control Science and Engineering |
| title | Nonfragile H∞ Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay |
| title_full | Nonfragile H∞ Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay |
| title_fullStr | Nonfragile H∞ Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay |
| title_full_unstemmed | Nonfragile H∞ Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay |
| title_short | Nonfragile H∞ Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay |
| title_sort | nonfragile h∞ filter design for nonlinear continuous time system with interval time varying delay |
| url | http://dx.doi.org/10.1155/2018/8198603 |
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