Synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller
In this paper, a robust adaptive nonlinear feedback controller scheme is proposed to realize the synchronization between two different fractional-order chaotic systems with fully unknown parameters, external disturbance and uncertainties. Bounds of the uncertainties and external disturbance assumed...
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| Format: | Article |
| Language: | English |
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Springer Verlag
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/53952/1/Synchronization%20of%20two%20different%20fractional%20order%20chaotic%20systems%20.pdf |
| _version_ | 1796975988545945600 |
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| author | Maheri, Mahmoud Md. Arifin, Norihan |
| author_facet | Maheri, Mahmoud Md. Arifin, Norihan |
| author_sort | Maheri, Mahmoud |
| collection | UPM |
| description | In this paper, a robust adaptive nonlinear feedback controller scheme is proposed to realize the synchronization between two different fractional-order chaotic systems with fully unknown parameters, external disturbance and uncertainties. Bounds of the uncertainties and external disturbance assumed to be unknown. A new theorem is presented to satisfy Lyapunov stability condition in fractional-order systems when their parameters are fully unknown with external disturbance and uncertainties. Numerical simulations are applied using MATLAB software to show the effectiveness of the proposed schemes. |
| first_indexed | 2024-03-06T09:19:19Z |
| format | Article |
| id | upm.eprints-53952 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:19:19Z |
| publishDate | 2016 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | upm.eprints-539522018-02-22T04:21:44Z http://psasir.upm.edu.my/id/eprint/53952/ Synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller Maheri, Mahmoud Md. Arifin, Norihan In this paper, a robust adaptive nonlinear feedback controller scheme is proposed to realize the synchronization between two different fractional-order chaotic systems with fully unknown parameters, external disturbance and uncertainties. Bounds of the uncertainties and external disturbance assumed to be unknown. A new theorem is presented to satisfy Lyapunov stability condition in fractional-order systems when their parameters are fully unknown with external disturbance and uncertainties. Numerical simulations are applied using MATLAB software to show the effectiveness of the proposed schemes. Springer Verlag 2016-07 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/53952/1/Synchronization%20of%20two%20different%20fractional%20order%20chaotic%20systems%20.pdf Maheri, Mahmoud and Md. Arifin, Norihan (2016) Synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller. Nonlinear Dynamics, 85 (2). pp. 825-838. ISSN 0924-090X; ESSN: 1573-269X https://link.springer.com/article/10.1007/s11071-016-2726-0 Synchronization; Adaptive; Chaos; Fractional; Control; Stability; Lyapunov 10.1007/s11071-016-2726-0 |
| spellingShingle | Synchronization; Adaptive; Chaos; Fractional; Control; Stability; Lyapunov Maheri, Mahmoud Md. Arifin, Norihan Synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller |
| title | Synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller |
| title_full | Synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller |
| title_fullStr | Synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller |
| title_full_unstemmed | Synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller |
| title_short | Synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller |
| title_sort | synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller |
| topic | Synchronization; Adaptive; Chaos; Fractional; Control; Stability; Lyapunov |
| url | http://psasir.upm.edu.my/id/eprint/53952/1/Synchronization%20of%20two%20different%20fractional%20order%20chaotic%20systems%20.pdf |
| work_keys_str_mv | AT maherimahmoud synchronizationoftwodifferentfractionalorderchaoticsystemswithunknownparametersusingarobustadaptivenonlinearcontroller AT mdarifinnorihan synchronizationoftwodifferentfractionalorderchaoticsystemswithunknownparametersusingarobustadaptivenonlinearcontroller |