Chaos control of fractional order Lü system via RBF neural network sliding mode controller

Abstract

A RBF neural network sliding mode controller is presented for chaos control of fractional order Lü system with parametric perturbation and external disturbances, which combines the advantages of RBF neural network and sliding mode control. The controller is given based on the output of RBF neural network and the weights of network can be adjusted online according to the sliding mode reaching law. The stability of the controller is analyzed based on the Lyapunov stability theorem. The simulation results illustrate the effectiveness and robustness of the proposed controller.