Robust finite-time sliding mode synchronization of fractional-order hyper-chaotic systems based on adaptive neural network and disturbances observer

In this paper, a novel sliding mode control method based on neural network and disturbances observer is designed to satisfy the synchronization of hyper-chaotic fractional-order systems in finite time. It is completely robust against unknown uncertainties and external disturbances. Compared with existing methods, an adaptive neural network and disturbances observer existing in sliding mode law can lessen the chattering effectively. Numerical simulations are applied to demonstrate the efficiency of the proposed control method.