Fractional-Order Control Scheme for Q-S Chaos Synchronization

In this paper, a fast control scheme is presented for the problem of Q-S synchronization between fractional chaotic systems with different dimensions and orders. Using robust control law and Laplace transform, a synchronization approach is designed to achieve Q-S synchronization between n-D and m-D fractional-order chaotic systems in arbitrary dimension d. This paper provides further contribution to the topic of Q-S synchronization between fractional-order systems with different dimensions and introduces a general control scheme that can be applied to wide classes of fractional chaotic and hyperchaotic systems. Numerical example and simulations are used to show the effectiveness of the proposed approach. © 2020, Springer Nature Switzerland AG.