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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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Main Authors: Maheri, Mahmoud, Md. Arifin, Norihan
Format: Article
Language:English
Published: Springer Verlag 2016
Online Access:http://psasir.upm.edu.my/id/eprint/53952/1/Synchronization%20of%20two%20different%20fractional%20order%20chaotic%20systems%20.pdf
http://psasir.upm.edu.my/id/eprint/53952/
https://link.springer.com/article/10.1007/s11071-016-2726-0
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spelling my.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 10.1007/s11071-016-2726-0
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Maheri, Mahmoud
Md. Arifin, Norihan
spellingShingle Maheri, Mahmoud
Md. Arifin, Norihan
Synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller
author_facet Maheri, Mahmoud
Md. Arifin, Norihan
author_sort Maheri, Mahmoud
title 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_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_sort synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller
publisher Springer Verlag
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/53952/1/Synchronization%20of%20two%20different%20fractional%20order%20chaotic%20systems%20.pdf
http://psasir.upm.edu.my/id/eprint/53952/
https://link.springer.com/article/10.1007/s11071-016-2726-0
_version_ 1643835533647937536
score 13.211869

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