Optimal State-Feedback Regulation of the Hydrogen Evolution Reactions

A control strategy is developed in order to keep processes based on the hydrogen evolution reactions (HER) near operational steady states. The problem is treated in the context of Optimal Control for nonlinear systems subject to quadratic cost objectives. The original dynamics is shown to be accurat...

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Detalles Bibliográficos
Autor: Costanza, Vicente
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/26599
Acceso en línea:http://hdl.handle.net/11336/26599
Access Level:acceso abierto
Palabra clave:Optimal Control
Hydrogen Reactions
Partial Differential Equations
Bilinear Systems
https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
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spelling Optimal State-Feedback Regulation of the Hydrogen Evolution ReactionsCostanza, VicenteOptimal ControlHydrogen ReactionsPartial Differential EquationsBilinear Systemshttps://purl.org/becyt/ford/2.4https://purl.org/becyt/ford/2A control strategy is developed in order to keep processes based on the hydrogen evolution reactions (HER) near operational steady states. The problem is treated in the context of Optimal Control for nonlinear systems subject to quadratic cost objectives. The original dynamics is shown to be accurately approximated by a bilinear model without increasing the dimension, so the state variables retain their physical meaning. Finite and infinite horizon optimal control strategies are developed, based on the Hamiltonian formalism, and introducing a novel approach for working on-line with generalized Riccati differential equations and the associated costate dynamics. When there exists a final penalty on the state deviation, then a first order quasi-linear partial differential equation is discovered and solved for the Riccati matrix. The observability problem is also treated, since the natural state (electrode surface coverage) can not be measured continuously. The output variable (current density) is fed into a high-gain nonlinear observer based on Lyapunov´s stability considerations. The whole approach allows for (in general time-dependent) state-feedback control.Fil: Costanza, Vicente. 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; ArgentinaPlanta Piloto de Ingeniería Química2005-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/26599Costanza, Vicente; Optimal State-Feedback Regulation of the Hydrogen Evolution Reactions; Planta Piloto de Ingeniería Química; Latin American Applied Research; 35; 4; 12-2005; 327-3350327-07931851-8796CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.laar.uns.edu.ar/indexes/i35_04.htminfo:eu-repo/semantics/altIdentifier/url/http://www.laar.uns.edu.ar/indexes/artic_v3504/vol35_4_p327.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:45:52Zoai:ri.conicet.gov.ar:11336/26599instacron: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:34982024-05-08 13:45:52.541CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Optimal State-Feedback Regulation of the Hydrogen Evolution Reactions
title Optimal State-Feedback Regulation of the Hydrogen Evolution Reactions
spellingShingle Optimal State-Feedback Regulation of the Hydrogen Evolution Reactions
Costanza, Vicente
Optimal Control
Hydrogen Reactions
Partial Differential Equations
Bilinear Systems
https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
title_short Optimal State-Feedback Regulation of the Hydrogen Evolution Reactions
title_full Optimal State-Feedback Regulation of the Hydrogen Evolution Reactions
title_fullStr Optimal State-Feedback Regulation of the Hydrogen Evolution Reactions
title_full_unstemmed Optimal State-Feedback Regulation of the Hydrogen Evolution Reactions
title_sort Optimal State-Feedback Regulation of the Hydrogen Evolution Reactions
dc.creator.none.fl_str_mv Costanza, Vicente
author Costanza, Vicente
author_facet Costanza, Vicente
author_role author
dc.subject.none.fl_str_mv Optimal Control
Hydrogen Reactions
Partial Differential Equations
Bilinear Systems
https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
topic Optimal Control
Hydrogen Reactions
Partial Differential Equations
Bilinear Systems
https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
description A control strategy is developed in order to keep processes based on the hydrogen evolution reactions (HER) near operational steady states. The problem is treated in the context of Optimal Control for nonlinear systems subject to quadratic cost objectives. The original dynamics is shown to be accurately approximated by a bilinear model without increasing the dimension, so the state variables retain their physical meaning. Finite and infinite horizon optimal control strategies are developed, based on the Hamiltonian formalism, and introducing a novel approach for working on-line with generalized Riccati differential equations and the associated costate dynamics. When there exists a final penalty on the state deviation, then a first order quasi-linear partial differential equation is discovered and solved for the Riccati matrix. The observability problem is also treated, since the natural state (electrode surface coverage) can not be measured continuously. The output variable (current density) is fed into a high-gain nonlinear observer based on Lyapunov´s stability considerations. The whole approach allows for (in general time-dependent) state-feedback control.
publishDate 2005
dc.date.none.fl_str_mv 2005-12
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/11336/26599
Costanza, Vicente; Optimal State-Feedback Regulation of the Hydrogen Evolution Reactions; Planta Piloto de Ingeniería Química; Latin American Applied Research; 35; 4; 12-2005; 327-335
0327-0793
1851-8796
CONICET Digital
CONICET
url http://hdl.handle.net/11336/26599
identifier_str_mv Costanza, Vicente; Optimal State-Feedback Regulation of the Hydrogen Evolution Reactions; Planta Piloto de Ingeniería Química; Latin American Applied Research; 35; 4; 12-2005; 327-335
0327-0793
1851-8796
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.laar.uns.edu.ar/indexes/i35_04.htm
info:eu-repo/semantics/altIdentifier/url/http://www.laar.uns.edu.ar/indexes/artic_v3504/vol35_4_p327.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Planta Piloto de Ingeniería Química
publisher.none.fl_str_mv Planta Piloto de Ingeniería Química
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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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score 15.812455

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