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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/189621
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T10:12:30Zoai: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:34982025-09-29 10:12:30.479CONICET 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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1844614032889217024 |
score |
13.070432 |