Synchronization of two different fractional order chaotic systems with unknown parameters using a robust adaptive nonlinear controller

• 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
• Institution: Universiti Putra Malaysia

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.