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

Fengxia Xu, Yao Cheng, Hongliang Ren and Shili Wang

Mathematical Problems in Engineering, 2014, vol. 2014, 1-7

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:420713

DOI: 10.1155/2014/420713

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