Research on Adaptive Neural Network Control System Based on Nonlinear U-Model with Time-Varying Delay

Abstract EN

U-model can approximate a large class of smooth nonlinear time-varying delay system to any accuracy by using time-varying delay parameters polynomial.

This paper proposes a new approach, namely, U-model approach, to solving the problems of analysis and synthesis for nonlinear systems.

Based on the idea of discrete-time U-model with time-varying delay, the identification algorithm of adaptive neural network is given for the nonlinear model.

Then, the controller is designed by using the Newton-Raphson formula and the stability analysis is given for the closed-loop nonlinear systems.

Finally, illustrative examples are given to show the validity and applicability of the obtained results.