Optimal cooperative control of mobile robots based on Pontryagin's Minimum Principle

This work presents the cooperative control with optimization for positioning of mobile robots based on Pontryagin's Minimum Principle. The problem to be solved is the minimum energy related to the control actions of the robots. The objective function is subject to the equations of states of the...

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Үндсэн зохиолч: Varela-Aldás, José (author)
Формат: article
Хэл сонгох:eng
Хэвлэсэн: 2022
Онлайн хандалт:https://ieeexplore.ieee.org/abstract/document/9988538
https://hdl.handle.net/20.500.14809/4836
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author Varela-Aldás, José
author_facet Varela-Aldás, José
author_role author
collection Repositorio Universidad Tecnológica Indoamérica
dc.creator.none.fl_str_mv Varela-Aldás, José
dc.date.none.fl_str_mv 2022
2023-03-25T21:25:09Z
2023-03-25T21:25:09Z
dc.identifier.none.fl_str_mv https://ieeexplore.ieee.org/abstract/document/9988538
https://hdl.handle.net/20.500.14809/4836
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv International Conference on Electrical, Computer, Communications and Mechatronics Engineering, ICECCME 2022. 2022 International Conference on Electrical, Computer, Communications and Mechatronics Engineering, ICECCME 2022. Male. 16 November 2022through 18 November 2022
dc.rights.none.fl_str_mv https://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:Repositorio Universidad Tecnológica Indoamérica
instname:Universidad Tecnológica Indoamérica
instacron:UTI
dc.title.none.fl_str_mv Optimal cooperative control of mobile robots based on Pontryagin's Minimum Principle
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description This work presents the cooperative control with optimization for positioning of mobile robots based on Pontryagin's Minimum Principle. The problem to be solved is the minimum energy related to the control actions of the robots. The objective function is subject to the equations of states of the triangular formation of the 3 mobile robots and is restricted to boundary conditions that include the desired form parameters. The mathematical model of the system is based on the kinematic transformation of the position of the robots towards the parameters of the formation. To solve the differential equations obtained, the shooting method is programmed for two initial value problems. The results show the evolution of the robots' positions and the positioning errors that tend to zero, validating this proposal through simulation. In addition, the control actions allow determining the energy index to compare it with a previous work, achieving a lower value.
eu_rights_str_mv openAccess
format article
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instacron_str UTI
institution UTI
instname_str Universidad Tecnológica Indoamérica
language eng
network_acronym_str UTI
network_name_str Repositorio Universidad Tecnológica Indoamérica
oai_identifier_str oai:repositorio.uti.edu.ec:20.500.14809/4836
publishDate 2022
publisher.none.fl_str_mv International Conference on Electrical, Computer, Communications and Mechatronics Engineering, ICECCME 2022. 2022 International Conference on Electrical, Computer, Communications and Mechatronics Engineering, ICECCME 2022. Male. 16 November 2022through 18 November 2022
reponame_str Repositorio Universidad Tecnológica Indoamérica
repository.mail.fl_str_mv .
repository.name.fl_str_mv Repositorio Universidad Tecnológica Indoamérica - Universidad Tecnológica Indoamérica
repository_id_str 0
rights_invalid_str_mv https://creativecommons.org/licenses/by/4.0/
spelling Optimal cooperative control of mobile robots based on Pontryagin's Minimum PrincipleVarela-Aldás, JoséThis work presents the cooperative control with optimization for positioning of mobile robots based on Pontryagin's Minimum Principle. The problem to be solved is the minimum energy related to the control actions of the robots. The objective function is subject to the equations of states of the triangular formation of the 3 mobile robots and is restricted to boundary conditions that include the desired form parameters. The mathematical model of the system is based on the kinematic transformation of the position of the robots towards the parameters of the formation. To solve the differential equations obtained, the shooting method is programmed for two initial value problems. The results show the evolution of the robots' positions and the positioning errors that tend to zero, validating this proposal through simulation. In addition, the control actions allow determining the energy index to compare it with a previous work, achieving a lower value.International Conference on Electrical, Computer, Communications and Mechatronics Engineering, ICECCME 2022. 2022 International Conference on Electrical, Computer, Communications and Mechatronics Engineering, ICECCME 2022. Male. 16 November 2022through 18 November 20222023-03-25T21:25:09Z2023-03-25T21:25:09Z2022info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttps://ieeexplore.ieee.org/abstract/document/9988538https://hdl.handle.net/20.500.14809/4836enghttps://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessreponame:Repositorio Universidad Tecnológica Indoaméricainstname:Universidad Tecnológica Indoaméricainstacron:UTI2023-04-18T02:30:33Zoai:repositorio.uti.edu.ec:20.500.14809/4836Institucionalhttps://repositorio.uti.edu.ec/Institución privadahttps://indoamerica.edu.ec/https://repositorio.uti.edu.ec/oai.Ecuador...opendoar:02023-04-18T02:30:33Repositorio Universidad Tecnológica Indoamérica - Universidad Tecnológica Indoaméricafalse
spellingShingle Optimal cooperative control of mobile robots based on Pontryagin's Minimum Principle
Varela-Aldás, José
status_str publishedVersion
title Optimal cooperative control of mobile robots based on Pontryagin's Minimum Principle
title_full Optimal cooperative control of mobile robots based on Pontryagin's Minimum Principle
title_fullStr Optimal cooperative control of mobile robots based on Pontryagin's Minimum Principle
title_full_unstemmed Optimal cooperative control of mobile robots based on Pontryagin's Minimum Principle
title_short Optimal cooperative control of mobile robots based on Pontryagin's Minimum Principle
title_sort Optimal cooperative control of mobile robots based on Pontryagin's Minimum Principle
url https://ieeexplore.ieee.org/abstract/document/9988538
https://hdl.handle.net/20.500.14809/4836