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2014 | OriginalPaper | Chapter

Real-Time PDE Constrained Optimal Control of a Periodic Multicomponent Separation Process

Authors : Malte Behrens, Hans Georg Bock, Sebastian Engell, Phawitphorn Khobkhun, Andreas Potschka

Published in: Trends in PDE Constrained Optimization

Publisher: Springer International Publishing

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Abstract

We present a case study for a ternary separation process, for which structural and aleatoric model uncertainty must be taken into account. For the first time, we apply the control strategy of Modifier Adaptation to a PDE constrained optimization problem with challenging switched periodic boundary conditions in time. Numerically, real-time feasibility of the control scheme is possible by the use of a direct one-shot optimization method, whose efficiency is based on a two-grid Newton-Picard approach. We demonstrate real-time feasibility for a virtual plant with experimentally determined isotherm parameters under reasonable model-plant mismatch conditions. As a result, it is possible to drive the plant into its true optimum, i.e. to increase the productivity of the plant by 100 and 35 % in the two scenarios considered here.

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previous chapter Optimal Control of Surface Acoustic Wave Actuated Sorting of Biological Cells
next chapter OPTPDE: A Collection of Problems in PDE-Constrained Optimization
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Metadata
Title
Real-Time PDE Constrained Optimal Control of a Periodic Multicomponent Separation Process
Authors
Malte Behrens
Hans Georg Bock
Sebastian Engell
Phawitphorn Khobkhun
Andreas Potschka
Copyright Year
2014
Book
Trends in PDE Constrained Optimization

Print ISBN: 978-3-319-05082-9

Electronic ISBN: 978-3-319-05083-6

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-05083-6_33