Trust-Region RB Methods for PDE-Constrained Optimization and Optimal Input Design

Andrea Petrocchi*, Matthias K. Scharrer, Stefan Volkwein

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

Abstract

In this paper we propose an algorithm for the bi-level optimal input design involving a parameter-dependent evolution problem. In the inner cycle a control is fixed and the parameter is optimized in order to minimize a cost function that measure the discrepancy from some data. In the outer cycle the found parameter is fixed and the control is now optimized in order to minimize a suitable measure of uncertainty of the parameters. The inner cycle uses a trustregion reduced basis approximation of the model with creation and enrichment of the reduced basis on-the-fly. Numerical examples illustrate the efficiency of the proposed approach.
Original languageEnglish
Publication statusPublished - 7 Sep 2022
Event4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations - Kiel, Germany
Duration: 5 Sep 20227 Sep 2022
http://cpde2022.org/

Conference

Conference4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations
Abbreviated titleCPDE
Country/TerritoryGermany
CityKiel
Period5/09/227/09/22
Internet address

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