Predictive control of fractional-order chaotic systems

Stabilizing an unstable equilibrium point in a fractional-order chaotic system is studied using prediction-based feedback method in this paper. Sufficient conditions for stabilization of equilibrium points are explicitly given and rigorously proven. The proposed approach is effective and easy to be implemented, but its application is limited to systems with no external disturbances and uncertainties in the model description. Numerical simulations show the effectiveness of the method.