Logic-Based Outer Approximation for the Design of Discrete-Continuous Dynamic Systems with Implicit Discontinuities
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Title: | Logic-Based Outer Approximation for the Design of Discrete-Continuous Dynamic Systems with Implicit Discontinuities |
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Authors: | Ruiz-Femenia, Rubén | Caballero, José A. | Grossmann, Ignacio E. |
Research Group/s: | Computer Optimization of Chemical Engineering Processes and Technologies (CONCEPT) |
Center, Department or Service: | Universidad de Alicante. Departamento de Ingeniería Química |
Keywords: | Logic-Based Outer Approximation | Discrete-Continuous Dynamic Systems | Mixed-Logic Dynamic Optimization | GDP | Orthogonal collocation method |
Knowledge Area: | Ingeniería Química |
Issue Date: | 2014 |
Publisher: | Elsevier |
Citation: | Computer Aided Chemical Engineering. 2014, 33: 337-342. doi:10.1016/B978-0-444-63456-6.50057-0 |
Abstract: | We address the optimization of discrete-continuous dynamic optimization problems using a disjunctive multistage modeling framework, with implicit discontinuities, which increases the problem complexity since the number of continuous phases and discrete events is not known a-priori. After setting a fixed alternative sequence of modes, we convert the infinite-dimensional continuous mixed-logic dynamic (MLDO) problem into a finite dimensional discretized GDP problem by orthogonal collocation on finite elements. We use the Logic-based Outer Approximation algorithm to fully exploit the structure of the GDP representation of the problem. This modelling framework is illustrated with an optimization problem with implicit discontinuities (diver problem). |
Sponsor: | The authors acknowledge financial support from «Estancias de movilidad en el extranjero "Jose Castillejo" (JC2011-0054)» of the Spanish “Ministerio de Educación”, and from the Spanish “Ministerio de Ciencia e Innovacion” (CTQ2012-37039-C02-02). |
URI: | http://hdl.handle.net/10045/46078 |
ISBN: | 978-0-444-63434-4 |
ISSN: | 1570-7946 |
DOI: | 10.1016/B978-0-444-63456-6.50057-0 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | © 2014 Elsevier B.V. |
Peer Review: | si |
Publisher version: | http://dx.doi.org/10.1016/B978-0-444-63456-6.50057-0 |
Appears in Collections: | INV - CONCEPT - Artículos de Revistas |
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2014_Ruiz-Femenia_etal_CACE_final.pdf | Versión final (acceso restringido) | 4,67 MB | Adobe PDF | Open Request a copy |
2014_Ruiz-Femenia_etal_CACE_preprint.pdf | Preprint (acceso abierto) | 291,33 kB | Adobe PDF | Open Preview |
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