Filtering-Based Fault Detection for Stochastic Markovian Jump System with Distributed Time-Varying Delays and Mixed Modes
The problem of fault detection for stochastic Markovian jump system is considered. The system under consideration involves discrete and distributed time-varying delays, Itô-type stochastic disturbance, and different system and delay modes. The aim of this paper is to design a fault detection filter...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/524271 |
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| _version_ | 1832568002112913408 |
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| author | Yucai Ding Hong Zhu Shouming Zhong Yuping Zhang Jianwei Xia |
| author_facet | Yucai Ding Hong Zhu Shouming Zhong Yuping Zhang Jianwei Xia |
| author_sort | Yucai Ding |
| collection | DOAJ |
| description | The problem of fault detection for stochastic Markovian jump system is considered. The system under consideration involves discrete and distributed time-varying delays, Itô-type stochastic disturbance, and different system and delay modes. The aim of this paper is to design a fault detection filter such that the fault detection system is stochastically stable and satisfies a prescribed H∞ disturbance attenuation level. By using a novel Lyapunov functional, a mix-mode-dependent sufficient condition is formulated in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed main results. |
| format | Article |
| id | doaj-art-6a56de393ea94711b21c2d59357b2290 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-6a56de393ea94711b21c2d59357b22902025-02-03T00:59:55ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/524271524271Filtering-Based Fault Detection for Stochastic Markovian Jump System with Distributed Time-Varying Delays and Mixed ModesYucai Ding0Hong Zhu1Shouming Zhong2Yuping Zhang3Jianwei Xia4School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Mathematics Science, Liaocheng University, Liaocheng 252000, ChinaThe problem of fault detection for stochastic Markovian jump system is considered. The system under consideration involves discrete and distributed time-varying delays, Itô-type stochastic disturbance, and different system and delay modes. The aim of this paper is to design a fault detection filter such that the fault detection system is stochastically stable and satisfies a prescribed H∞ disturbance attenuation level. By using a novel Lyapunov functional, a mix-mode-dependent sufficient condition is formulated in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed main results.http://dx.doi.org/10.1155/2012/524271 |
| spellingShingle | Yucai Ding Hong Zhu Shouming Zhong Yuping Zhang Jianwei Xia Filtering-Based Fault Detection for Stochastic Markovian Jump System with Distributed Time-Varying Delays and Mixed Modes Journal of Applied Mathematics |
| title | Filtering-Based Fault Detection for Stochastic Markovian Jump System with Distributed Time-Varying Delays and Mixed Modes |
| title_full | Filtering-Based Fault Detection for Stochastic Markovian Jump System with Distributed Time-Varying Delays and Mixed Modes |
| title_fullStr | Filtering-Based Fault Detection for Stochastic Markovian Jump System with Distributed Time-Varying Delays and Mixed Modes |
| title_full_unstemmed | Filtering-Based Fault Detection for Stochastic Markovian Jump System with Distributed Time-Varying Delays and Mixed Modes |
| title_short | Filtering-Based Fault Detection for Stochastic Markovian Jump System with Distributed Time-Varying Delays and Mixed Modes |
| title_sort | filtering based fault detection for stochastic markovian jump system with distributed time varying delays and mixed modes |
| url | http://dx.doi.org/10.1155/2012/524271 |
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