A gauss-newton approach for nonlinear optimal control problem with model-reality differences
Output measurement for nonlinear optimal control problems is an interesting issue. Because the structure of the real plant is complex, the output channel could give a significant response corresponding to the real plant. In this paper, a least squares scheme, which is based on the Gauss-Newton algor...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Scientific Research Publishing
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/60657/ http://psasir.upm.edu.my/id/eprint/60657/1/A%20gauss-newton%20approach%20for%20nonlinear%20optimal%20control%20problem%20with%20model-reality%20differences.pdf |
| _version_ | 1848854245984436224 |
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| author | Sie, Long Kek Jiao, Li Leong, Wah June Abd Aziz, Mohd Ismail |
| author_facet | Sie, Long Kek Jiao, Li Leong, Wah June Abd Aziz, Mohd Ismail |
| author_sort | Sie, Long Kek |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Output measurement for nonlinear optimal control problems is an interesting issue. Because the structure of the real plant is complex, the output channel could give a significant response corresponding to the real plant. In this paper, a least squares scheme, which is based on the Gauss-Newton algorithm, is proposed. The aim is to approximate the output that is measured from the real plant. In doing so, an appropriate output measurement from the model used is suggested. During the computation procedure, the control trajectory is updated iteratively by using the Gauss-Newton recursion scheme. Consequently, the output residual between the original output and the suggested output is minimized. Here, the linear model-based optimal control model is considered, so as the optimal control law is constructed. By feed backing the updated control trajectory into the dynamic system, the iterative solution of the model used could approximate to the correct optimal solution of the original optimal control problem, in spite of model-reality differences. For illustration, current converted and isothermal reaction rector problems are studied and the results are demonstrated. In conclusion, the efficiency of the approach proposed is highly presented. |
| first_indexed | 2025-11-15T11:06:49Z |
| format | Article |
| id | upm-60657 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:06:49Z |
| publishDate | 2017 |
| publisher | Scientific Research Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-606572019-04-02T02:51:01Z http://psasir.upm.edu.my/id/eprint/60657/ A gauss-newton approach for nonlinear optimal control problem with model-reality differences Sie, Long Kek Jiao, Li Leong, Wah June Abd Aziz, Mohd Ismail Output measurement for nonlinear optimal control problems is an interesting issue. Because the structure of the real plant is complex, the output channel could give a significant response corresponding to the real plant. In this paper, a least squares scheme, which is based on the Gauss-Newton algorithm, is proposed. The aim is to approximate the output that is measured from the real plant. In doing so, an appropriate output measurement from the model used is suggested. During the computation procedure, the control trajectory is updated iteratively by using the Gauss-Newton recursion scheme. Consequently, the output residual between the original output and the suggested output is minimized. Here, the linear model-based optimal control model is considered, so as the optimal control law is constructed. By feed backing the updated control trajectory into the dynamic system, the iterative solution of the model used could approximate to the correct optimal solution of the original optimal control problem, in spite of model-reality differences. For illustration, current converted and isothermal reaction rector problems are studied and the results are demonstrated. In conclusion, the efficiency of the approach proposed is highly presented. Scientific Research Publishing 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/60657/1/A%20gauss-newton%20approach%20for%20nonlinear%20optimal%20control%20problem%20with%20model-reality%20differences.pdf Sie, Long Kek and Jiao, Li and Leong, Wah June and Abd Aziz, Mohd Ismail (2017) A gauss-newton approach for nonlinear optimal control problem with model-reality differences. Open Journal of Optimization, 6. 85 - 100. ISSN 2325-7105; ESSN: 2325-7091 https://file.scirp.org/pdf/OJOp_2017080815382159.pdf 10.4236/ojop.2017.63007 |
| spellingShingle | Sie, Long Kek Jiao, Li Leong, Wah June Abd Aziz, Mohd Ismail A gauss-newton approach for nonlinear optimal control problem with model-reality differences |
| title | A gauss-newton approach for nonlinear optimal control problem with model-reality differences |
| title_full | A gauss-newton approach for nonlinear optimal control problem with model-reality differences |
| title_fullStr | A gauss-newton approach for nonlinear optimal control problem with model-reality differences |
| title_full_unstemmed | A gauss-newton approach for nonlinear optimal control problem with model-reality differences |
| title_short | A gauss-newton approach for nonlinear optimal control problem with model-reality differences |
| title_sort | gauss-newton approach for nonlinear optimal control problem with model-reality differences |
| url | http://psasir.upm.edu.my/id/eprint/60657/ http://psasir.upm.edu.my/id/eprint/60657/ http://psasir.upm.edu.my/id/eprint/60657/ http://psasir.upm.edu.my/id/eprint/60657/1/A%20gauss-newton%20approach%20for%20nonlinear%20optimal%20control%20problem%20with%20model-reality%20differences.pdf |