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

Banholzer, Stefan; Makarov, Eugen; Volkwein, Stefan

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

Files

Banholzer_2--1er2jsajujq0x2.pdf(479.58 KB)

Date

2017

Authors

Banholzer, Stefan

Makarov, Eugen

Volkwein, Stefan

Series

Konstanzer Schriften in Mathematik; 370

Publication type

Working Paper/Technical Report

Publication status

Published

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.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

BANHOLZER, Stefan, Eugen MAKAROV, Stefan VOLKWEIN, 2017. POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena

BibTex

@techreport{Banholzer2017PODBa-40769,
  year={2017},
  series={Konstanzer Schriften in Mathematik},
  title={POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena},
  number={370},
  author={Banholzer, Stefan and Makarov, Eugen and Volkwein, Stefan}
}

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Bibliography of Konstanz

Yes