A robust gradient-based MPC for integrating real time optimizer (RTO) with control

A gradient-based model predictive control (MPC) strategy was recently proposed to reduce the computational burden derived from the explicit inclusion of an economic real time optimization (RTO). The main idea is to compute a suboptimal solution, which is the convex combination of a feasible solution...

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Authors: D'jorge, Agustina; Ferramosca, Antonio; González, Alejandro Hernán
Format: Article
Status:Published version
Publication date:2017
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/46943
Online Access:http://hdl.handle.net/11336/46943
Access Level:Open access
Keyword:Model Predictive Control
Economic Optimization
Robust Control
https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
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author D'jorge, Agustina
author2 Ferramosca, Antonio
González, Alejandro Hernán
author2_role author
author
author_browse D'jorge, Agustina
Ferramosca, Antonio
González, Alejandro Hernán
author_facet D'jorge, Agustina
Ferramosca, Antonio
González, Alejandro Hernán
author_role author
collection CONICET Digital (CONICET)
description A gradient-based model predictive control (MPC) strategy was recently proposed to reduce the computational burden derived from the explicit inclusion of an economic real time optimization (RTO). The main idea is to compute a suboptimal solution, which is the convex combination of a feasible solution and a solution of an approximated (linearized) problem. The main benefits of this strategy are that convergence is still guaranteed and good economic performances are obtained, according to several simulation scenarios. The formulation, however, is developed only for the nominal case, which significantly reduces its applicability. In this work, an extension of the gradient-based MPC to explicitly account for disturbances is made. The resulting robust formulation considers a nominal prediction model, but restricted constraints (in order to account for the effect of additive disturbances). The nominal economic performance is preserved and robust stability is ensured. An illustrative example shows the benefits of the proposal.
eu_rights_str_mv openAccess
format article
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identifier_str_mv D'jorge, Agustina; Ferramosca, Antonio; González, Alejandro Hernán; A robust gradient-based MPC for integrating real time optimizer (RTO) with control; Elsevier; Journal Of Process Control; 54; 6-2017; 65-80
0959-1524
CONICET Digital
CONICET
institution Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
language eng
network_acronym_str AR
network_name_str Argentina
oai_identifier_str oai:ri.conicet.gov.ar:11336/46943
publishDate 2017
publishDateSort 2017
publisher Elsevier
publisherStr Elsevier
reponame_str CONICET Digital (CONICET)
spelling A robust gradient-based MPC for integrating real time optimizer (RTO) with control D'jorge, Agustina Ferramosca, Antonio González, Alejandro Hernán Model Predictive Control Economic Optimization Robust Control https://purl.org/becyt/ford/2.2 https://purl.org/becyt/ford/2 A gradient-based model predictive control (MPC) strategy was recently proposed to reduce the computational burden derived from the explicit inclusion of an economic real time optimization (RTO). The main idea is to compute a suboptimal solution, which is the convex combination of a feasible solution and a solution of an approximated (linearized) problem. The main benefits of this strategy are that convergence is still guaranteed and good economic performances are obtained, according to several simulation scenarios. The formulation, however, is developed only for the nominal case, which significantly reduces its applicability. In this work, an extension of the gradient-based MPC to explicitly account for disturbances is made. The resulting robust formulation considers a nominal prediction model, but restricted constraints (in order to account for the effect of additive disturbances). The nominal economic performance is preserved and robust stability is ensured. An illustrative example shows the benefits of the proposal. Fil: D'jorge, Agustina. 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: Ferramosca, Antonio. Universidad Tecnológica Nacional; Argentina Fil: González, Alejandro Hernán. 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 Elsevier http://hdl.handle.net/11336/46943 D'jorge, Agustina; Ferramosca, Antonio; González, Alejandro Hernán; A robust gradient-based MPC for integrating real time optimizer (RTO) with control; Elsevier; Journal Of Process Control; 54; 6-2017; 65-80 0959-1524 CONICET Digital CONICET
spellingShingle A robust gradient-based MPC for integrating real time optimizer (RTO) with control
D'jorge, Agustina
Model Predictive Control
Economic Optimization
Robust Control
https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
status_str publishedVersion
title A robust gradient-based MPC for integrating real time optimizer (RTO) with control
title_full A robust gradient-based MPC for integrating real time optimizer (RTO) with control
title_fullStr A robust gradient-based MPC for integrating real time optimizer (RTO) with control
title_full_unstemmed A robust gradient-based MPC for integrating real time optimizer (RTO) with control
title_short A robust gradient-based MPC for integrating real time optimizer (RTO) with control
title_sort A robust gradient-based MPC for integrating real time optimizer (RTO) with control
topic Model Predictive Control
Economic Optimization
Robust Control
https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
topic_facet Model Predictive Control
Economic Optimization
Robust Control
https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
url http://hdl.handle.net/11336/46943