@inproceedings{Banholzer2016PODBa-34156.2,
  year={2016},
  doi={10.1016/j.ifacol.2016.07.443},
  title={POD-Based Bicriterial Optimal Control by the Reference Point Method},
  number={49,8},
  publisher={IFAC},
  address={Laxenburg},
  series={IFAC-Papers Online},
  booktitle={2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations},
  pages={210--215},
  editor={Macchelli, Alessandro},
  author={Banholzer, Stefan and Beermann, Dennis and Volkwein, Stefan}
}

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    <dcterms:title>POD-Based Bicriterial Optimal Control by the Reference Point Method</dcterms:title>
    <dc:creator>Banholzer, Stefan</dc:creator>
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    <dc:contributor>Beermann, Dennis</dc:contributor>
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    <dc:contributor>Volkwein, Stefan</dc:contributor>
    <dc:contributor>Banholzer, Stefan</dc:contributor>
    <dc:creator>Beermann, Dennis</dc:creator>
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    <dcterms:abstract xml:lang="eng">In the present paper a bicriterial optimal control problem governed by a parabolic partial differential equation (PDE) and bilateral control constraints is considered. For the numerical optimization the reference point method is utilized. The PDE is discretized by a Galerkin approximation utilizing the method of proper orthogonal decomposition (POD). POD is a powerful approach to derive reduced-order approximations for evolution problems. Numerical examples illustrate the efficiency of the proposed strategy.</dcterms:abstract>
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