Sliding Mode Control of the Fractional-Order Unified Chaotic System
This paper deals with robust synchronization of the fractional-order unified chaotic systems. Firstly, control design for synchronization of nominal systems is proposed via fractional sliding mode technique. Then, systematic uncertainties and external disturbances are considered in the fractional-or...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/397504 |
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| _version_ | 1832561037908377600 |
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| author | Jian Yuan Bao Shi Xiaoyun Zeng Wenqiang Ji Tetie Pan |
| author_facet | Jian Yuan Bao Shi Xiaoyun Zeng Wenqiang Ji Tetie Pan |
| author_sort | Jian Yuan |
| collection | DOAJ |
| description | This paper deals with robust synchronization of the fractional-order unified chaotic systems. Firstly, control design for synchronization of nominal systems is proposed via fractional sliding mode technique. Then, systematic uncertainties and external disturbances are considered in the fractional-order unified chaotic systems, and adaptive sliding mode control is designed for the synchronization issue. Finally, numerical simulations are carried out to verify the effectiveness of the two proposed control techniques. |
| format | Article |
| id | doaj-art-b75221f4dca74919acd8b13e85c41341 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b75221f4dca74919acd8b13e85c413412025-02-03T01:26:07ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/397504397504Sliding Mode Control of the Fractional-Order Unified Chaotic SystemJian Yuan0Bao Shi1Xiaoyun Zeng2Wenqiang Ji3Tetie Pan4Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaInstitute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaInstitute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaInstitute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaInstitute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaThis paper deals with robust synchronization of the fractional-order unified chaotic systems. Firstly, control design for synchronization of nominal systems is proposed via fractional sliding mode technique. Then, systematic uncertainties and external disturbances are considered in the fractional-order unified chaotic systems, and adaptive sliding mode control is designed for the synchronization issue. Finally, numerical simulations are carried out to verify the effectiveness of the two proposed control techniques.http://dx.doi.org/10.1155/2013/397504 |
| spellingShingle | Jian Yuan Bao Shi Xiaoyun Zeng Wenqiang Ji Tetie Pan Sliding Mode Control of the Fractional-Order Unified Chaotic System Abstract and Applied Analysis |
| title | Sliding Mode Control of the Fractional-Order Unified Chaotic System |
| title_full | Sliding Mode Control of the Fractional-Order Unified Chaotic System |
| title_fullStr | Sliding Mode Control of the Fractional-Order Unified Chaotic System |
| title_full_unstemmed | Sliding Mode Control of the Fractional-Order Unified Chaotic System |
| title_short | Sliding Mode Control of the Fractional-Order Unified Chaotic System |
| title_sort | sliding mode control of the fractional order unified chaotic system |
| url | http://dx.doi.org/10.1155/2013/397504 |
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