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Control of Nonlinear Distributed Parameter Systems Based on Global Approximation

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  • Chunyan Du
  • Guansheng Xing

Abstract

We extend an iterative approximation method to nonlinear, distributed parameter systems given by partial differential and functional equations. The nonlinear system is approached by a sequence of linear time-varying systems, which globally converges in the limit to the original nonlinear systems considered. This allows many linear control techniques to be applied to nonlinear systems. Here we design a sliding mode controller for a nonlinear wave equation to demonstrate the effectiveness of this method.

Suggested Citation

  • Chunyan Du & Guansheng Xing, 2014. "Control of Nonlinear Distributed Parameter Systems Based on Global Approximation," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, August.
    • Handle: RePEc:hin:jnljam:845370
    DOI: 10.1155/2014/845370
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