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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/845370 |
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| _version_ | 1832553965372309504 |
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| author | Chunyan Du Guansheng Xing |
| author_facet | Chunyan Du Guansheng Xing |
| author_sort | Chunyan Du |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-b1fa848ac6a54b1d9215f3b3a47b71a4 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b1fa848ac6a54b1d9215f3b3a47b71a42025-02-03T05:52:42ZengWileyJournal 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 |
| spellingShingle | Chunyan Du Guansheng Xing Control of Nonlinear Distributed Parameter Systems Based on Global Approximation Journal of Applied Mathematics |
| title | 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_short | Control of Nonlinear Distributed Parameter Systems Based on Global Approximation |
| title_sort | control of nonlinear distributed parameter systems based on global approximation |
| url | http://dx.doi.org/10.1155/2014/845370 |
| work_keys_str_mv | AT chunyandu controlofnonlineardistributedparametersystemsbasedonglobalapproximation AT guanshengxing controlofnonlineardistributedparametersystemsbasedonglobalapproximation |