Solution to an Optimal Control Problem via Canonical Dual Method
The analytic solution to an optimal control problem is investigated using the canonical dual method. By means of the Pontryagin principle and a transformation of the cost functional, the optimal control of a nonconvex problem is obtained. It turns out that the optimal control can be expressed by the...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2009/202094 |
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| _version_ | 1832563426544582656 |
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| author | Jinghao Zhu Jiani Zhou |
| author_facet | Jinghao Zhu Jiani Zhou |
| author_sort | Jinghao Zhu |
| collection | DOAJ |
| description | The analytic solution to an optimal control problem is investigated using the canonical dual method. By means of the Pontryagin principle and a transformation of the cost functional, the optimal control of a nonconvex problem is obtained. It turns out that the optimal control can be expressed by the costate via canonical dual variables. Some examples are illustrated. |
| format | Article |
| id | doaj-art-4d7c7bd3130c4ac18617926bf0b32955 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-4d7c7bd3130c4ac18617926bf0b329552025-02-03T01:20:15ZengWileyJournal of Control Science and Engineering1687-52491687-52572009-01-01200910.1155/2009/202094202094Solution to an Optimal Control Problem via Canonical Dual MethodJinghao Zhu0Jiani Zhou1Department of Applied Mathematics, Tongji University, Shanghai 200092, ChinaDepartment of Mathematics, Tongji University, Shanghai 200092, ChinaThe analytic solution to an optimal control problem is investigated using the canonical dual method. By means of the Pontryagin principle and a transformation of the cost functional, the optimal control of a nonconvex problem is obtained. It turns out that the optimal control can be expressed by the costate via canonical dual variables. Some examples are illustrated.http://dx.doi.org/10.1155/2009/202094 |
| spellingShingle | Jinghao Zhu Jiani Zhou Solution to an Optimal Control Problem via Canonical Dual Method Journal of Control Science and Engineering |
| title | Solution to an Optimal Control Problem via Canonical Dual Method |
| title_full | Solution to an Optimal Control Problem via Canonical Dual Method |
| title_fullStr | Solution to an Optimal Control Problem via Canonical Dual Method |
| title_full_unstemmed | Solution to an Optimal Control Problem via Canonical Dual Method |
| title_short | Solution to an Optimal Control Problem via Canonical Dual Method |
| title_sort | solution to an optimal control problem via canonical dual method |
| url | http://dx.doi.org/10.1155/2009/202094 |
| work_keys_str_mv | AT jinghaozhu solutiontoanoptimalcontrolproblemviacanonicaldualmethod AT jianizhou solutiontoanoptimalcontrolproblemviacanonicaldualmethod |