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2019 | OriginalPaper | Chapter

POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena

Authors : Stefan Banholzer, Eugen Makarov, Stefan Volkwein

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2017

Publisher: Springer International Publishing

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Abstract

In the present paper, a multiobjective optimal control problem governed by a heat equation with time-dependent convection term and bilateral control constraints is considered. For computing Pareto optimal points and approximating the Pareto front, the reference point method is applied. As this method transforms the multiobjective optimal control problem into a series of scalar optimization problems, the method of proper orthogonal decomposition (POD) is introduced as an approach for model-order reduction. New strategies for efficiently updating the POD basis in the optimization process are proposed and tested numerically.

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previous chapter On a New Mixed Formulation of Kirchhoff Plates on Curvilinear Polygonal Domains
next chapter Greedy Kernel Methods for Accelerating Implicit Integrators for Parametric ODEs
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Metadata
Title
POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena
Authors
Stefan Banholzer
Eugen Makarov
Stefan Volkwein
Copyright Year
2019
Book
Numerical Mathematics and Advanced Applications ENUMATH 2017

Print ISBN: 978-3-319-96414-0

Electronic ISBN: 978-3-319-96415-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-96415-7_83

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