Optimal Control of a Multi-field Irrigation Problem: validation of a numerical solution by the optimality conditions

Detalhes bibliográficos
Autor(a) principal: Lopes, Sofia O.
Data de Publicação: 2017
Outros Autores: Fontes, Fernando A. C. C.
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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spelling 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
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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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