Neural network controller design for uncertain nonlinear systems based on backstepping control algorithm

This paper investigates the control problem for a class of nonlinear systems having strict feedback structure with system uncertainties by using adaptive neural network backstepping control technique. In order to solve the “explosion of terms” problem that appears in backstepping design procedure, the derivative of the virtual control input signals and the unknown functions are approximated by neural networks. The controller proposed in this paper has a simple form. At last numerical simulations are given to confirm the results of this paper.