Logic-Based Outer Approximation for the Design of Discrete-Continuous Dynamic Systems with Implicit Discontinuities

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 f...

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Bibliographic Details
Published in:Computer Aided Chemical Engineering Vol. 33; pp. 337 - 342
Main Authors: Ruiz-Femenia, Rubén, Caballero, Jose A., Grossmann, Ignacio E.
Format: Book Chapter
Language:English
Published: 2014
Subjects:
Discrete-Continuous Dynamic Systems
GDP
Logic-Based Outer Approximation
Mixed-Logic Dynamic Optimization
Orthogonal collocation method
Mixed-Logic Dynamic Optimization
GDP
Orthogonal collocation method
Logic-Based Outer Approximation
Discrete-Continuous Dynamic Systems
ISBN:9780444634344, 0444634347
ISSN:1570-7946
Online Access:Get full text
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Summary: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).
ISBN:9780444634344
0444634347
ISSN:1570-7946
DOI:10.1016/B978-0-444-63456-6.50057-0