Adaptive Sliding Mode Control of a Novel Class of Fractional Chaotic Systems
Recently, control and synchronization of fractional chaotic systems have increasingly attracted much attention in the fractional control community. In this paper we introduce a novel class of fractional chaotic systems in the pseudo state space and propose an adaptive sliding mode control scheme to...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/576709 |
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| _version_ | 1832556263777501184 |
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| author | Jian Yuan Bao Shi Wenqiang Ji |
| author_facet | Jian Yuan Bao Shi Wenqiang Ji |
| author_sort | Jian Yuan |
| collection | DOAJ |
| description | Recently, control and synchronization of fractional chaotic systems have increasingly attracted much attention in the fractional control community. In this paper we introduce a novel class of fractional chaotic systems in the pseudo state space and propose an adaptive sliding mode control scheme to stabilize the chaotic systems in the presence of uncertainties and external disturbances whose bounds are unknown. To verify the effectiveness of the proposed adaptive sliding mode control technique, numerical simulations of control design of fractional Lorenz's system and Chen's system are presented. |
| format | Article |
| id | doaj-art-26d288484cf7461eac3a9c0dfdd04b3d |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-26d288484cf7461eac3a9c0dfdd04b3d2025-02-03T05:45:50ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/576709576709Adaptive Sliding Mode Control of a Novel Class of Fractional Chaotic SystemsJian Yuan0Bao Shi1Wenqiang Ji2Institute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai 264001, ChinaInstitute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai 264001, ChinaInstitute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai 264001, ChinaRecently, control and synchronization of fractional chaotic systems have increasingly attracted much attention in the fractional control community. In this paper we introduce a novel class of fractional chaotic systems in the pseudo state space and propose an adaptive sliding mode control scheme to stabilize the chaotic systems in the presence of uncertainties and external disturbances whose bounds are unknown. To verify the effectiveness of the proposed adaptive sliding mode control technique, numerical simulations of control design of fractional Lorenz's system and Chen's system are presented.http://dx.doi.org/10.1155/2013/576709 |
| spellingShingle | Jian Yuan Bao Shi Wenqiang Ji Adaptive Sliding Mode Control of a Novel Class of Fractional Chaotic Systems Advances in Mathematical Physics |
| title | Adaptive Sliding Mode Control of a Novel Class of Fractional Chaotic Systems |
| title_full | Adaptive Sliding Mode Control of a Novel Class of Fractional Chaotic Systems |
| title_fullStr | Adaptive Sliding Mode Control of a Novel Class of Fractional Chaotic Systems |
| title_full_unstemmed | Adaptive Sliding Mode Control of a Novel Class of Fractional Chaotic Systems |
| title_short | Adaptive Sliding Mode Control of a Novel Class of Fractional Chaotic Systems |
| title_sort | adaptive sliding mode control of a novel class of fractional chaotic systems |
| url | http://dx.doi.org/10.1155/2013/576709 |
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