Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian Problem

The problem of designing strategies for optimal feedback control of nonlinear processes, specially for regulation and set-point changing, is attacked in this paper. A novel procedure based on the Hamiltonian equations associated to a bilinear approximation of the dynamics and a quadratic cost is pre...

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Detalhes bibliográficos
Autores: Costanza, Vicente, Neuman, C. E.
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2006
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositório:CONICET Digital (CONICET)
Idioma:inglês
OAI Identifier:oai:ri.conicet.gov.ar:11336/20887
Acesso em linha:http://hdl.handle.net/11336/20887
Access Level:Acceso aberto
Palavra-chave:Optimal Control
Chemical Reactors
Nonlinear Systems
Hamilton Equations
https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
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spelling Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian ProblemCostanza, VicenteNeuman, C. E.Optimal ControlChemical ReactorsNonlinear SystemsHamilton Equationshttps://purl.org/becyt/ford/2.4https://purl.org/becyt/ford/2The problem of designing strategies for optimal feedback control of nonlinear processes, specially for regulation and set-point changing, is attacked in this paper. A novel procedure based on the Hamiltonian equations associated to a bilinear approximation of the dynamics and a quadratic cost is presented. The usual boundary-value situation for the coupled state-costate system is transformed into an initial-value problem through the solution of a generalized algebraic Riccati equation. This allows to integrate the Hamiltonian equations on-line, and to construct the feedback law by using the costate solution trajectory. Results are shown applied to a classical nonlinear chemical reactor model, and compared against suboptimal bilinear-quadratic strategies based on power series expansions. Since state variables calculated from Hamiltonian equations may differ from the values of physical states, the proposed control strategy is suboptimal with respect to the original plant.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; ArgentinaFil: Neuman, C. E.. Universidad Nacional del Litoral; ArgentinaJohn Wiley & Sons Ltd2006-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/20887Costanza, Vicente; Neuman, C. E.; Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian Problem; John Wiley & Sons Ltd; Optimal Control Applications & Methods; 27; 1; 12-2006; 41-600143-2087CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1002/oca.772info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/oca.772/abstractinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:37:40Zoai:ri.conicet.gov.ar:11336/20887instacron: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 13:37:40.838CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian Problem
title Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian Problem
spellingShingle Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian Problem
Costanza, Vicente
Optimal Control
Chemical Reactors
Nonlinear Systems
Hamilton Equations
https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
title_short Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian Problem
title_full Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian Problem
title_fullStr Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian Problem
title_full_unstemmed Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian Problem
title_sort Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian Problem
dc.creator.none.fl_str_mv Costanza, Vicente
Neuman, C. E.
author Costanza, Vicente
author_facet Costanza, Vicente
Neuman, C. E.
author_role author
author2 Neuman, C. E.
author2_role author
dc.subject.none.fl_str_mv Optimal Control
Chemical Reactors
Nonlinear Systems
Hamilton Equations
https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
topic Optimal Control
Chemical Reactors
Nonlinear Systems
Hamilton Equations
https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
description The problem of designing strategies for optimal feedback control of nonlinear processes, specially for regulation and set-point changing, is attacked in this paper. A novel procedure based on the Hamiltonian equations associated to a bilinear approximation of the dynamics and a quadratic cost is presented. The usual boundary-value situation for the coupled state-costate system is transformed into an initial-value problem through the solution of a generalized algebraic Riccati equation. This allows to integrate the Hamiltonian equations on-line, and to construct the feedback law by using the costate solution trajectory. Results are shown applied to a classical nonlinear chemical reactor model, and compared against suboptimal bilinear-quadratic strategies based on power series expansions. Since state variables calculated from Hamiltonian equations may differ from the values of physical states, the proposed control strategy is suboptimal with respect to the original plant.
publishDate 2006
dc.date.none.fl_str_mv 2006-12
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/11336/20887
Costanza, Vicente; Neuman, C. E.; Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian Problem; John Wiley & Sons Ltd; Optimal Control Applications & Methods; 27; 1; 12-2006; 41-60
0143-2087
CONICET Digital
CONICET
url http://hdl.handle.net/11336/20887
identifier_str_mv Costanza, Vicente; Neuman, C. E.; Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian Problem; John Wiley & Sons Ltd; Optimal Control Applications & Methods; 27; 1; 12-2006; 41-60
0143-2087
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1002/oca.772
info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/oca.772/abstract
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 John Wiley & Sons Ltd
publisher.none.fl_str_mv John Wiley & Sons Ltd
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 15,812429

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