Optimal Control of a Multi-field Irrigation Problem: validation of a numerical solution by the optimality conditions
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://doi.org/10.34629/ipl.isel.i-ETC.34 |
Resumo: | In this paper, we address the problem of minimizing the total water consumption over the period of a year used to supply different fields with different types of crops.We start by recalling a previous study, where the authors developed an optimal control model for this problem by minimizing the water flowing into a reservoir and where the water from the precipitation can be collected. The numerical solution obtained using such model is analyzed.The main result in this paper is the theoretical validation of the numerical solution via a verifications that such solution satisfies the necessary conditions of optimality in the form of a Maximum Principle. This way, we are giving further evidence of the optimality of the numerical solution found. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Optimal Control of a Multi-field Irrigation Problem: validation of a numerical solution by the optimality conditionsAutomation and control; optimization;optimal control, irrigation systemsIn this paper, we address the problem of minimizing the total water consumption over the period of a year used to supply different fields with different types of crops.We start by recalling a previous study, where the authors developed an optimal control model for this problem by minimizing the water flowing into a reservoir and where the water from the precipitation can be collected. The numerical solution obtained using such model is analyzed.The main result in this paper is the theoretical validation of the numerical solution via a verifications that such solution satisfies the necessary conditions of optimality in the form of a Maximum Principle. This way, we are giving further evidence of the optimality of the numerical solution found.ISEL - High Institute of Engineering of Lisbon2017-10-26T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://doi.org/10.34629/ipl.isel.i-ETC.34oai:i-ETC.journals.isel.pt:article/34i-ETC : ISEL Academic Journal of Electronics Telecommunications and Computers; Vol 3, No 1 (2017): The CETC2016 Issue (A); ID-9i-ETC : ISEL Academic Journal of Electronics Telecommunications and Computers; Vol 3, No 1 (2017): The CETC2016 Issue (A); ID-92182-4010reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAPenghttp://journals.isel.pt/index.php/i-ETC/article/view/34https://doi.org/10.34629/ipl.isel.i-ETC.34http://journals.isel.pt/index.php/i-ETC/article/view/34/34Copyright (c) 2017 Sofia O. Lopes, Fernando A. C. C. Fonteshttp://creativecommons.org/licenses/by-nc/4.0info:eu-repo/semantics/openAccessLopes, Sofia O.Fontes, Fernando A. C. C.2022-09-20T15:26:04Zoai:i-ETC.journals.isel.pt:article/34Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T15:51:10.490154Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Optimal Control of a Multi-field Irrigation Problem: validation of a numerical solution by the optimality conditions |
title |
Optimal Control of a Multi-field Irrigation Problem: validation of a numerical solution by the optimality conditions |
spellingShingle |
Optimal Control of a Multi-field Irrigation Problem: validation of a numerical solution by the optimality conditions Lopes, Sofia O. Automation and control; optimization; optimal control, irrigation systems |
title_short |
Optimal Control of a Multi-field Irrigation Problem: validation of a numerical solution by the optimality conditions |
title_full |
Optimal Control of a Multi-field Irrigation Problem: validation of a numerical solution by the optimality conditions |
title_fullStr |
Optimal Control of a Multi-field Irrigation Problem: validation of a numerical solution by the optimality conditions |
title_full_unstemmed |
Optimal Control of a Multi-field Irrigation Problem: validation of a numerical solution by the optimality conditions |
title_sort |
Optimal Control of a Multi-field Irrigation Problem: validation of a numerical solution by the optimality conditions |
author |
Lopes, Sofia O. |
author_facet |
Lopes, Sofia O. Fontes, Fernando A. C. C. |
author_role |
author |
author2 |
Fontes, Fernando A. C. C. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Lopes, Sofia O. Fontes, Fernando A. C. C. |
dc.subject.por.fl_str_mv |
Automation and control; optimization; optimal control, irrigation systems |
topic |
Automation and control; optimization; optimal control, irrigation systems |
description |
In this paper, we address the problem of minimizing the total water consumption over the period of a year used to supply different fields with different types of crops.We start by recalling a previous study, where the authors developed an optimal control model for this problem by minimizing the water flowing into a reservoir and where the water from the precipitation can be collected. The numerical solution obtained using such model is analyzed.The main result in this paper is the theoretical validation of the numerical solution via a verifications that such solution satisfies the necessary conditions of optimality in the form of a Maximum Principle. This way, we are giving further evidence of the optimality of the numerical solution found. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-10-26T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://doi.org/10.34629/ipl.isel.i-ETC.34 oai:i-ETC.journals.isel.pt:article/34 |
url |
https://doi.org/10.34629/ipl.isel.i-ETC.34 |
identifier_str_mv |
oai:i-ETC.journals.isel.pt:article/34 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
http://journals.isel.pt/index.php/i-ETC/article/view/34 https://doi.org/10.34629/ipl.isel.i-ETC.34 http://journals.isel.pt/index.php/i-ETC/article/view/34/34 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2017 Sofia O. Lopes, Fernando A. C. C. Fontes http://creativecommons.org/licenses/by-nc/4.0 info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2017 Sofia O. Lopes, Fernando A. C. C. Fontes http://creativecommons.org/licenses/by-nc/4.0 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
ISEL - High Institute of Engineering of Lisbon |
publisher.none.fl_str_mv |
ISEL - High Institute of Engineering of Lisbon |
dc.source.none.fl_str_mv |
i-ETC : ISEL Academic Journal of Electronics Telecommunications and Computers; Vol 3, No 1 (2017): The CETC2016 Issue (A); ID-9 i-ETC : ISEL Academic Journal of Electronics Telecommunications and Computers; Vol 3, No 1 (2017): The CETC2016 Issue (A); ID-9 2182-4010 reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799130375444758528 |