Control of Nonlinear Distributed Parameter Systems Based on Global Approximation

Control of Nonlinear Distributed Parameter Systems Based on Global Approximation

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 con...

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Main Authors: Chunyan Du, Guansheng Xing
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/845370
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spelling doaj-b1fa848ac6a54b1d9215f3b3a47b71a42020-11-24T23:06:45ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/845370845370Control of Nonlinear Distributed Parameter Systems Based on Global ApproximationChunyan Du0Guansheng Xing1School of Electrical Engineering and Automation, Tianjin University, Tianjin, ChinaSchool of Electrical Engineering and Automation, Hebei University of Technology, Tianjin, ChinaWe 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.http://dx.doi.org/10.1155/2014/845370
collection DOAJ
language English
format Article
sources DOAJ
author Chunyan Du
Guansheng Xing
spellingShingle Chunyan Du
Guansheng Xing
Control of Nonlinear Distributed Parameter Systems Based on Global Approximation
Journal of Applied Mathematics
author_facet Chunyan Du
Guansheng Xing
author_sort Chunyan Du
title Control of Nonlinear Distributed Parameter Systems Based on Global Approximation
title_short Control of Nonlinear Distributed Parameter Systems Based on Global Approximation
title_full Control of Nonlinear Distributed Parameter Systems Based on Global Approximation
title_fullStr Control of Nonlinear Distributed Parameter Systems Based on Global Approximation
title_full_unstemmed Control of Nonlinear Distributed Parameter Systems Based on Global Approximation
title_sort control of nonlinear distributed parameter systems based on global approximation
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/845370
work_keys_str_mv AT chunyandu controlofnonlineardistributedparametersystemsbasedonglobalapproximation
AT guanshengxing controlofnonlineardistributedparametersystemsbasedonglobalapproximation
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