Control of Nonlinear Distributed Parameter Systems Based on Global Approximation

Chunyan Du and Guansheng Xing

Journal of Applied Mathematics, 2014, vol. 2014, 1-6

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:845370

DOI: 10.1155/2014/845370

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