Optimal Control of Nonlinear Chemical Reactors via an Initial-Value Hamiltonian Problem
- Autores
- Costanza, Vicente; Neuman, C. E.
- Año de publicación
- 2006
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
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; Argentina
Fil: Neuman, C. E.. Universidad Nacional del Litoral; Argentina - Materia
-
Optimal Control
Chemical Reactors
Nonlinear Systems
Hamilton Equations - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/20887
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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 Técnicas2025-09-29T09:39:08Zoai: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:34982025-09-29 09:39:09.162CONICET 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 |
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 |
topic |
Optimal Control Chemical Reactors Nonlinear Systems Hamilton Equations |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/2.4 https://purl.org/becyt/ford/2 |
dc.description.none.fl_txt_mv |
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. 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; Argentina Fil: Neuman, C. E.. Universidad Nacional del Litoral; Argentina |
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 |
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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1844613238140960768 |
score |
13.070432 |