Enlarging the domain of attraction of stable MPC controllers, maintaining the output performance

Autores
González, Alejandro Hernán; Odloak, Darci
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This work presents an alternative way to formulate the stable Model Predictive Control (MPC) optimization problem that allows the enlargement of the domain of attraction, while preserving the controller performance. Based on the dual MPC that uses the null local controller, it proposed the inclusion of an appropriate set of slacked terminal constraints into the control problem. As a result, the domain of attraction is unlimited for the stable modes of the system, and the largest possible for the non-stable modes. Although this controller does not achieve local optimality, simulations show that the input and output performances may be comparable to the ones obtained with the dual MPC that uses the LQR as a local controller.
Fil: González, Alejandro Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Odloak, Darci. University of Sao Paulo; Brasil
Materia
Model Predictive Control
Stability of Mpc
Domain of Attraction
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/17100

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network_name_str CONICET Digital (CONICET)
spelling Enlarging the domain of attraction of stable MPC controllers, maintaining the output performanceGonzález, Alejandro HernánOdloak, DarciModel Predictive ControlStability of MpcDomain of Attractionhttps://purl.org/becyt/ford/2.4https://purl.org/becyt/ford/2This work presents an alternative way to formulate the stable Model Predictive Control (MPC) optimization problem that allows the enlargement of the domain of attraction, while preserving the controller performance. Based on the dual MPC that uses the null local controller, it proposed the inclusion of an appropriate set of slacked terminal constraints into the control problem. As a result, the domain of attraction is unlimited for the stable modes of the system, and the largest possible for the non-stable modes. Although this controller does not achieve local optimality, simulations show that the input and output performances may be comparable to the ones obtained with the dual MPC that uses the LQR as a local controller.Fil: González, Alejandro Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaFil: Odloak, Darci. University of Sao Paulo; BrasilElsevier2009-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/17100González, Alejandro Hernán; Odloak, Darci; Enlarging the domain of attraction of stable MPC controllers, maintaining the output performance; Elsevier; Automatica; 45; 4; 12-2009; 1080-10850005-1098enginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.automatica.2008.11.015info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0005109808005566?via%3Dihubinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:56:22Zoai:ri.conicet.gov.ar:11336/17100instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:56:23.378CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Enlarging the domain of attraction of stable MPC controllers, maintaining the output performance
title Enlarging the domain of attraction of stable MPC controllers, maintaining the output performance
spellingShingle Enlarging the domain of attraction of stable MPC controllers, maintaining the output performance
González, Alejandro Hernán
Model Predictive Control
Stability of Mpc
Domain of Attraction
title_short Enlarging the domain of attraction of stable MPC controllers, maintaining the output performance
title_full Enlarging the domain of attraction of stable MPC controllers, maintaining the output performance
title_fullStr Enlarging the domain of attraction of stable MPC controllers, maintaining the output performance
title_full_unstemmed Enlarging the domain of attraction of stable MPC controllers, maintaining the output performance
title_sort Enlarging the domain of attraction of stable MPC controllers, maintaining the output performance
dc.creator.none.fl_str_mv González, Alejandro Hernán
Odloak, Darci
author González, Alejandro Hernán
author_facet González, Alejandro Hernán
Odloak, Darci
author_role author
author2 Odloak, Darci
author2_role author
dc.subject.none.fl_str_mv Model Predictive Control
Stability of Mpc
Domain of Attraction
topic Model Predictive Control
Stability of Mpc
Domain of Attraction
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv This work presents an alternative way to formulate the stable Model Predictive Control (MPC) optimization problem that allows the enlargement of the domain of attraction, while preserving the controller performance. Based on the dual MPC that uses the null local controller, it proposed the inclusion of an appropriate set of slacked terminal constraints into the control problem. As a result, the domain of attraction is unlimited for the stable modes of the system, and the largest possible for the non-stable modes. Although this controller does not achieve local optimality, simulations show that the input and output performances may be comparable to the ones obtained with the dual MPC that uses the LQR as a local controller.
Fil: González, Alejandro Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Odloak, Darci. University of Sao Paulo; Brasil
description This work presents an alternative way to formulate the stable Model Predictive Control (MPC) optimization problem that allows the enlargement of the domain of attraction, while preserving the controller performance. Based on the dual MPC that uses the null local controller, it proposed the inclusion of an appropriate set of slacked terminal constraints into the control problem. As a result, the domain of attraction is unlimited for the stable modes of the system, and the largest possible for the non-stable modes. Although this controller does not achieve local optimality, simulations show that the input and output performances may be comparable to the ones obtained with the dual MPC that uses the LQR as a local controller.
publishDate 2009
dc.date.none.fl_str_mv 2009-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/17100
González, Alejandro Hernán; Odloak, Darci; Enlarging the domain of attraction of stable MPC controllers, maintaining the output performance; Elsevier; Automatica; 45; 4; 12-2009; 1080-1085
0005-1098
url http://hdl.handle.net/11336/17100
identifier_str_mv González, Alejandro Hernán; Odloak, Darci; Enlarging the domain of attraction of stable MPC controllers, maintaining the output performance; Elsevier; Automatica; 45; 4; 12-2009; 1080-1085
0005-1098
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.automatica.2008.11.015
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0005109808005566?via%3Dihub
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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