Abstract: This paper is devoted to discussing a new control method which combine the approximation method of neural network with sliding mode control for a class of nonlinear systems. The controller is made up of an equivalent controller and an adaptive sliding mode controller. The sliding mode controller is a robust controller and it is used to diminish the track error of the control system. The neural networks are used to approximate the nonlinear functions and the approximation errors of the neural networks are introduced to the adaptive law in order to improve the quality of this system. Finally, an example is given to demonstrate the availability of this method.

Key words: neural networks, nonlinear systems, adaptive control, sliding mode control