Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems

Iapichino, Laura; Trenz, Stefan; Volkwein, Stefan

Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems

Files

Iapichino_0-313874.pdf(586.18 KB)

Date

2015

Authors

Iapichino, Laura

Trenz, Stefan

Volkwein, Stefan

Series

Konstanzer Schriften in Mathematik; 347

Publication type

Working Paper/Technical Report

Publication status

Published

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 behavior 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-order method. The accuracy is guaranteed by an a-posteriori error estimate.

Subject (DDC)

510 Mathematics

Keywords

Multiobjective optimization, optimal control, reduced-order methods, semilinear parabolic problems

Cite This

ISO 690

IAPICHINO, Laura, Stefan TRENZ, Stefan VOLKWEIN, 2015. Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems

BibTex

@techreport{Iapichino2015Reduc-32813,
  year={2015},
  series={Konstanzer Schriften in Mathematik},
  title={Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems},
  number={347},
  author={Iapichino, Laura and Trenz, Stefan and Volkwein, Stefan}
}

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