Sliding Mode Control of Fractional-order Hyperchaotic Systems

Abstract

In this paper, active sliding mode controllers are designed to realize the control and synchronization of fractional-order hyper chaotic systems. Based on stability theorems of fractional calculus, the stability analysis of the proposed method is performed. Finally, three numerical simulations are presented to show the effectiveness of the obtained results. The simulations are all implemented using predictor-corrector method to solve the fractional differential equations.