Suboptimal Control Strategies for Finite-Time Nonlinear Processes with Input Constraints

Autores
Rivadeneira Paz, Pablo Santiago; Adam, Eduardo Jose
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Novel techniques for the optimization and control of finite-time processes in real-time are pursued. These are developed in the framework of the Hamiltonian optimal control. Two methods are designed. The first one constructs the reference control trajectory as an approximation of the optimal control via the Riccati equations in an adaptive fashion based on the solutions of a set of partial differential equations called the $alpha$ and $eta$ matrices. These allow calculating the Riccati gain for a range of the duration of the process $T$ and the final penalization $S$. The second method introduces input constraints to the general optimization formulation. The notions of linear matrix inequalities allow us to recuperate the Riccati gain as in the first method, but using an infinite horizon optimization method. Finally, the performance of the proposed strategies is illustrated through numerical simulations applied to a batch reactor and a penicillin fed-batch reactor.
Fil: Rivadeneira Paz, Pablo Santiago. 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: Adam, Eduardo Jose. Universidad Nacional del Litoral; Argentina
Materia
Optimal control
input constraints
nonlinear systems
batch reactors
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/76434
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Suboptimal Control Strategies for Finite-Time Nonlinear Processes with Input ConstraintsRivadeneira Paz, Pablo SantiagoAdam, Eduardo JoseOptimal controlinput constraintsnonlinear systemsbatch reactorshttps://purl.org/becyt/ford/2.4https://purl.org/becyt/ford/2Novel techniques for the optimization and control of finite-time processes in real-time are pursued. These are developed in the framework of the Hamiltonian optimal control. Two methods are designed. The first one constructs the reference control trajectory as an approximation of the optimal control via the Riccati equations in an adaptive fashion based on the solutions of a set of partial differential equations called the $alpha$ and $eta$ matrices. These allow calculating the Riccati gain for a range of the duration of the process $T$ and the final penalization $S$. The second method introduces input constraints to the general optimization formulation. The notions of linear matrix inequalities allow us to recuperate the Riccati gain as in the first method, but using an infinite horizon optimization method. Finally, the performance of the proposed strategies is illustrated through numerical simulations applied to a batch reactor and a penicillin fed-batch reactor.Fil: Rivadeneira Paz, Pablo Santiago. 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: Adam, Eduardo Jose. Universidad Nacional del Litoral; ArgentinaHindawi Publishing Corporation2013-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/76434Rivadeneira Paz, Pablo Santiago; Adam, Eduardo Jose; Suboptimal Control Strategies for Finite-Time Nonlinear Processes with Input Constraints; Hindawi Publishing Corporation; Journal of Nonlinear Dynamics; 2013; 9-2013; 1-112314-6893CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.hindawi.com/journals/jndy/2013/182034/info:eu-repo/semantics/altIdentifier/doi/10.1155/2013/182034info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:26:17Zoai:ri.conicet.gov.ar:11336/76434instacron: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 10:26:17.996CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Suboptimal Control Strategies for Finite-Time Nonlinear Processes with Input Constraints
title Suboptimal Control Strategies for Finite-Time Nonlinear Processes with Input Constraints
spellingShingle Suboptimal Control Strategies for Finite-Time Nonlinear Processes with Input Constraints
Rivadeneira Paz, Pablo Santiago
Optimal control
input constraints
nonlinear systems
batch reactors
title_short Suboptimal Control Strategies for Finite-Time Nonlinear Processes with Input Constraints
title_full Suboptimal Control Strategies for Finite-Time Nonlinear Processes with Input Constraints
title_fullStr Suboptimal Control Strategies for Finite-Time Nonlinear Processes with Input Constraints
title_full_unstemmed Suboptimal Control Strategies for Finite-Time Nonlinear Processes with Input Constraints
title_sort Suboptimal Control Strategies for Finite-Time Nonlinear Processes with Input Constraints
dc.creator.none.fl_str_mv Rivadeneira Paz, Pablo Santiago
Adam, Eduardo Jose
author Rivadeneira Paz, Pablo Santiago
author_facet Rivadeneira Paz, Pablo Santiago
Adam, Eduardo Jose
author_role author
author2 Adam, Eduardo Jose
author2_role author
dc.subject.none.fl_str_mv Optimal control
input constraints
nonlinear systems
batch reactors
topic Optimal control
input constraints
nonlinear systems
batch reactors
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv Novel techniques for the optimization and control of finite-time processes in real-time are pursued. These are developed in the framework of the Hamiltonian optimal control. Two methods are designed. The first one constructs the reference control trajectory as an approximation of the optimal control via the Riccati equations in an adaptive fashion based on the solutions of a set of partial differential equations called the $alpha$ and $eta$ matrices. These allow calculating the Riccati gain for a range of the duration of the process $T$ and the final penalization $S$. The second method introduces input constraints to the general optimization formulation. The notions of linear matrix inequalities allow us to recuperate the Riccati gain as in the first method, but using an infinite horizon optimization method. Finally, the performance of the proposed strategies is illustrated through numerical simulations applied to a batch reactor and a penicillin fed-batch reactor.
Fil: Rivadeneira Paz, Pablo Santiago. 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: Adam, Eduardo Jose. Universidad Nacional del Litoral; Argentina
description Novel techniques for the optimization and control of finite-time processes in real-time are pursued. These are developed in the framework of the Hamiltonian optimal control. Two methods are designed. The first one constructs the reference control trajectory as an approximation of the optimal control via the Riccati equations in an adaptive fashion based on the solutions of a set of partial differential equations called the $alpha$ and $eta$ matrices. These allow calculating the Riccati gain for a range of the duration of the process $T$ and the final penalization $S$. The second method introduces input constraints to the general optimization formulation. The notions of linear matrix inequalities allow us to recuperate the Riccati gain as in the first method, but using an infinite horizon optimization method. Finally, the performance of the proposed strategies is illustrated through numerical simulations applied to a batch reactor and a penicillin fed-batch reactor.
publishDate 2013
dc.date.none.fl_str_mv 2013-09
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/11336/76434
Rivadeneira Paz, Pablo Santiago; Adam, Eduardo Jose; Suboptimal Control Strategies for Finite-Time Nonlinear Processes with Input Constraints; Hindawi Publishing Corporation; Journal of Nonlinear Dynamics; 2013; 9-2013; 1-11
2314-6893
CONICET Digital
CONICET
url http://hdl.handle.net/11336/76434
identifier_str_mv Rivadeneira Paz, Pablo Santiago; Adam, Eduardo Jose; Suboptimal Control Strategies for Finite-Time Nonlinear Processes with Input Constraints; Hindawi Publishing Corporation; Journal of Nonlinear Dynamics; 2013; 9-2013; 1-11
2314-6893
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.hindawi.com/journals/jndy/2013/182034/
info:eu-repo/semantics/altIdentifier/doi/10.1155/2013/182034
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
application/pdf
dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
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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score 13.070432

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