Predictive Control of a Fractional Order Delayed Chaotic System with Circuit Implementation

The time delay and fractional-order nonlinear systems have attracted great attention for the synchronization and security of information based on chaotic systems. In this paper, a new robust approach to control a fractional order delayed chaotic system is proposed, with the circuit implementation. Based on the theory of nonlinear predictive control and utilizing fundamental properties of fractional calculus, a new theorem to guarantee the convergence of the chaotic trajectory towards the equilibrium point of fractional order time-delay chaotic systems is developed. Numerical simulations are provided to verify the effectiveness of the design and a circuit implementation is performed to show the feasibility of the proposed approach.