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Adel Ouannas,Samir Bendoukha,Christos Volos,Nouri Boumaza,Abdulrahman Karouma 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.9
This paper proposes two approaches for the synchronization of a fractional hyperchaotic Rabinovich master-slave pair. The first approach introduces a linear control law to synchronize the systems in their ommensurate case, i.e. with a constant fractional-order. The convergence of the proposed scheme is proven by means of an appropriate Lyapunov functional. In the incommensurate scenario, a nonlinear controller is developed basedon our choice of a suitable set of control parameters. Numerical results are presented to illustrate the validity and convergence of the proposed synchronization schemes. In addition, the incommensurate control law is applied to a signal-masking-based secure communication system, whose performance is assessed through simulations.