Passivity and Passification for Delay Fuzzy System Based on Delay Partitioning Approach
A delay partitioning approach is introduced to solve problems of passivity and passification for continuous T-S fuzzy system with time delay. Our aim is to design a state feedback controller such that the resulting closed system is passive. By constructing a Lyapunov-Krasovskii functional, delay-dep...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/714525 |
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| _version_ | 1832560341110751232 |
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| author | Xiangjie Liu Dan Yue Xiuming Yao |
| author_facet | Xiangjie Liu Dan Yue Xiuming Yao |
| author_sort | Xiangjie Liu |
| collection | DOAJ |
| description | A delay partitioning approach is introduced to solve problems of passivity and passification for continuous T-S fuzzy system with time delay. Our aim is to design a state feedback controller such that the resulting closed system is passive. By constructing a Lyapunov-Krasovskii functional, delay-dependent passivity/passification performance conditions are formulated in terms of linear matrix inequalities (LMIs). Finally, numerical examples are used to illustrate the effectiveness of the proposed approaches which can further reduce conservatism and become more obvious with partitioning getting thinner. |
| format | Article |
| id | doaj-art-b952fa341d514976a84a4c7e305e88a4 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b952fa341d514976a84a4c7e305e88a42025-02-03T01:27:53ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/714525714525Passivity and Passification for Delay Fuzzy System Based on Delay Partitioning ApproachXiangjie Liu0Dan Yue1Xiuming Yao2The State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, ChinaThe State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, ChinaDepartment of Automation, North China Electric Power University, Baoding 071003, ChinaA delay partitioning approach is introduced to solve problems of passivity and passification for continuous T-S fuzzy system with time delay. Our aim is to design a state feedback controller such that the resulting closed system is passive. By constructing a Lyapunov-Krasovskii functional, delay-dependent passivity/passification performance conditions are formulated in terms of linear matrix inequalities (LMIs). Finally, numerical examples are used to illustrate the effectiveness of the proposed approaches which can further reduce conservatism and become more obvious with partitioning getting thinner.http://dx.doi.org/10.1155/2013/714525 |
| spellingShingle | Xiangjie Liu Dan Yue Xiuming Yao Passivity and Passification for Delay Fuzzy System Based on Delay Partitioning Approach Journal of Applied Mathematics |
| title | Passivity and Passification for Delay Fuzzy System Based on Delay Partitioning Approach |
| title_full | Passivity and Passification for Delay Fuzzy System Based on Delay Partitioning Approach |
| title_fullStr | Passivity and Passification for Delay Fuzzy System Based on Delay Partitioning Approach |
| title_full_unstemmed | Passivity and Passification for Delay Fuzzy System Based on Delay Partitioning Approach |
| title_short | Passivity and Passification for Delay Fuzzy System Based on Delay Partitioning Approach |
| title_sort | passivity and passification for delay fuzzy system based on delay partitioning approach |
| url | http://dx.doi.org/10.1155/2013/714525 |
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