Nonlinear PI control of fed-batch processes for growth rate regulation

Autores
de Battista, Hernán; Picó, Jesús; Pico Marco, Enric
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper deals with the regulation of the biomass specific growth rate, which is an important goal in many fed-batch fermentation processes. The proposed control system is based on the minimal model paradigm, requiring only biomass and volume measurement along with some bounds on the reaction rate. The controller has the structure of a partial state feed-back with adjustable gain. An integral-proportional control algorithm is designed to adjust this gain. It is inspired in concepts of invariant control and system immersion. First, a nonlinear integral action that makes invariant a goal manifold defined by a reference model dynamics is developed. Then, a proportional output error feed-back is incorporated to the control law with the aim of fastening convergence. Stability is investigated in detail using Lyapunov functions. To implement the control law, an estimation of the growth rate is required like any other PI-like controller. Because of its strong convergence properties, a sliding observer that requires the same process information as the controller is used for this task, although conventional continuous observers can alternatively be used provided they are fast enough to preserve stability. Simulation results showing the transient response and robustness features of the controller under nominal and perturbed scenarios are presented.
Fil: de Battista, Hernán. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Picó, Jesús. Universidad Politécnica de Valencia; España
Fil: Pico Marco, Enric. Universidad Politécnica de Valencia; España
Materia
FED-BATCH PROCESSES
INVARIANT CONTROL
NONLINEAR CONTROL
NONLINEAR OBSERVERS
PARTIAL STABILITY
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:11336/189621
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/189621
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Nonlinear PI control of fed-batch processes for growth rate regulationde Battista, HernánPicó, JesúsPico Marco, EnricFED-BATCH PROCESSESINVARIANT CONTROLNONLINEAR CONTROLNONLINEAR OBSERVERSPARTIAL STABILITYhttps://purl.org/becyt/ford/2.2https://purl.org/becyt/ford/2This paper deals with the regulation of the biomass specific growth rate, which is an important goal in many fed-batch fermentation processes. The proposed control system is based on the minimal model paradigm, requiring only biomass and volume measurement along with some bounds on the reaction rate. The controller has the structure of a partial state feed-back with adjustable gain. An integral-proportional control algorithm is designed to adjust this gain. It is inspired in concepts of invariant control and system immersion. First, a nonlinear integral action that makes invariant a goal manifold defined by a reference model dynamics is developed. Then, a proportional output error feed-back is incorporated to the control law with the aim of fastening convergence. Stability is investigated in detail using Lyapunov functions. To implement the control law, an estimation of the growth rate is required like any other PI-like controller. Because of its strong convergence properties, a sliding observer that requires the same process information as the controller is used for this task, although conventional continuous observers can alternatively be used provided they are fast enough to preserve stability. Simulation results showing the transient response and robustness features of the controller under nominal and perturbed scenarios are presented.Fil: de Battista, Hernán. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaFil: Picó, Jesús. Universidad Politécnica de Valencia; EspañaFil: Pico Marco, Enric. Universidad Politécnica de Valencia; EspañaElsevier2012-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/189621de Battista, Hernán; Picó, Jesús; Pico Marco, Enric; Nonlinear PI control of fed-batch processes for growth rate regulation; Elsevier; Journal of Process Control; 22; 4; 4-2012; 789-7970959-1524CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0959152412000601?via%3Dihubinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jprocont.2012.02.011info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:09:33Zoai:ri.conicet.gov.ar:11336/189621instacron: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:34982025-10-15 15:09:33.845CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Nonlinear PI control of fed-batch processes for growth rate regulation
title Nonlinear PI control of fed-batch processes for growth rate regulation
spellingShingle Nonlinear PI control of fed-batch processes for growth rate regulation
de Battista, Hernán
FED-BATCH PROCESSES
INVARIANT CONTROL
NONLINEAR CONTROL
NONLINEAR OBSERVERS
PARTIAL STABILITY
title_short Nonlinear PI control of fed-batch processes for growth rate regulation
title_full Nonlinear PI control of fed-batch processes for growth rate regulation
title_fullStr Nonlinear PI control of fed-batch processes for growth rate regulation
title_full_unstemmed Nonlinear PI control of fed-batch processes for growth rate regulation
title_sort Nonlinear PI control of fed-batch processes for growth rate regulation
dc.creator.none.fl_str_mv de Battista, Hernán
Picó, Jesús
Pico Marco, Enric
author de Battista, Hernán
author_facet de Battista, Hernán
Picó, Jesús
Pico Marco, Enric
author_role author
author2 Picó, Jesús
Pico Marco, Enric
author2_role author
author
dc.subject.none.fl_str_mv FED-BATCH PROCESSES
INVARIANT CONTROL
NONLINEAR CONTROL
NONLINEAR OBSERVERS
PARTIAL STABILITY
topic FED-BATCH PROCESSES
INVARIANT CONTROL
NONLINEAR CONTROL
NONLINEAR OBSERVERS
PARTIAL STABILITY
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv This paper deals with the regulation of the biomass specific growth rate, which is an important goal in many fed-batch fermentation processes. The proposed control system is based on the minimal model paradigm, requiring only biomass and volume measurement along with some bounds on the reaction rate. The controller has the structure of a partial state feed-back with adjustable gain. An integral-proportional control algorithm is designed to adjust this gain. It is inspired in concepts of invariant control and system immersion. First, a nonlinear integral action that makes invariant a goal manifold defined by a reference model dynamics is developed. Then, a proportional output error feed-back is incorporated to the control law with the aim of fastening convergence. Stability is investigated in detail using Lyapunov functions. To implement the control law, an estimation of the growth rate is required like any other PI-like controller. Because of its strong convergence properties, a sliding observer that requires the same process information as the controller is used for this task, although conventional continuous observers can alternatively be used provided they are fast enough to preserve stability. Simulation results showing the transient response and robustness features of the controller under nominal and perturbed scenarios are presented.
Fil: de Battista, Hernán. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Picó, Jesús. Universidad Politécnica de Valencia; España
Fil: Pico Marco, Enric. Universidad Politécnica de Valencia; España
description This paper deals with the regulation of the biomass specific growth rate, which is an important goal in many fed-batch fermentation processes. The proposed control system is based on the minimal model paradigm, requiring only biomass and volume measurement along with some bounds on the reaction rate. The controller has the structure of a partial state feed-back with adjustable gain. An integral-proportional control algorithm is designed to adjust this gain. It is inspired in concepts of invariant control and system immersion. First, a nonlinear integral action that makes invariant a goal manifold defined by a reference model dynamics is developed. Then, a proportional output error feed-back is incorporated to the control law with the aim of fastening convergence. Stability is investigated in detail using Lyapunov functions. To implement the control law, an estimation of the growth rate is required like any other PI-like controller. Because of its strong convergence properties, a sliding observer that requires the same process information as the controller is used for this task, although conventional continuous observers can alternatively be used provided they are fast enough to preserve stability. Simulation results showing the transient response and robustness features of the controller under nominal and perturbed scenarios are presented.
publishDate 2012
dc.date.none.fl_str_mv 2012-04
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/11336/189621
de Battista, Hernán; Picó, Jesús; Pico Marco, Enric; Nonlinear PI control of fed-batch processes for growth rate regulation; Elsevier; Journal of Process Control; 22; 4; 4-2012; 789-797
0959-1524
CONICET Digital
CONICET
url http://hdl.handle.net/11336/189621
identifier_str_mv de Battista, Hernán; Picó, Jesús; Pico Marco, Enric; Nonlinear PI control of fed-batch processes for growth rate regulation; Elsevier; Journal of Process Control; 22; 4; 4-2012; 789-797
0959-1524
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0959152412000601?via%3Dihub
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jprocont.2012.02.011
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 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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score 13.22299

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