RBF neural network nonlinear controller via backstepping approach

An adaptive RBF neural network controller for the chaotic dynamic systems is proposed using backstepping control approach. The proposed adaptive neural network backstepping controller (ANNBC) offers a design approach to drive the chaotic to track a desired trajectory. For the adaptive laws of the controller are derived in the sense of Lyapunov function, the stability can be guaranteed. Finally, the simulation shows that the proposed ANNBC can achieve better tracking performance for the chaotic system with regard to parameter variations.