Design and optimization of generalized prediction-based control scheme to stabilize and synchronize fractional-order hyperchaotic systems

This work addresses the problem of designing a controller for the stabilization and synchronization processes of a large class of Fractional-order Chaotic (resp. hyperchaotic) Systems (FoCS). A Generalized Prediction-based Control (GPbC) law is presented in this paper. Based on Lyapunov stabilization arguments and a recent stability theorem of fractional-order systems, stability analysis of the closed-loop control system is investigated. The design and multiobjective optimization of GPbC scheme offers some superior properties such as faster finite-time convergence, higher control precision which very low energy consumption and stability conditions guarantee in control and synchronization of FoCS. Some numerical simulations are provided to confirm the validity of the proposed analytical results.