Reduced-order multiobjective optimal control of semilinear parabolic problems

Conference paper (2016)

Authors

L. Iapichino Computational Design and Mechanics - Mechanical, Maritime and Materials Engineering
Stefan Trenz Universität Konstanz
Stefan Volkwein Universität Konstanz
Research Group
Computational Design and Mechanics (Mechanical, Maritime and Materials Engineering) (TU Delft)
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Published Date

2016

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Precision and Microsystems Engineering

Research Group

Computational Design and Mechanics

Abstract

In this paper a reduced-order strategy is applied to solve a multiobjective optimal control problem governed by semilinear parabolic partial differential equations. These problems often arise in practical applications, where the quality of the system behaviour has to be measured by more than one criterium. The weighted sum method is exploited for defining scalar-valued nonlinear optimal control problems built by introducing additional optimization parameters. The optimal controls corresponding to specific choices of the optimization parameters are efficiently computed by the reduced-basis method. The accuracy is guaranteed by an a-posteriori error estimate.