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

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  • Fengxia Xu
  • Yao Cheng
  • Hongliang Ren
  • Shili Wang

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.

Suggested Citation

  • Fengxia Xu & Yao Cheng & Hongliang Ren & Shili Wang, 2014. "Research on Adaptive Neural Network Control System Based on Nonlinear U-Model with Time-Varying Delay," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, August.
    • Handle: RePEc:hin:jnlmpe:420713
    DOI: 10.1155/2014/420713
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