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POD-Based Bicriterial Optimal Control by the Reference Point Method

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2016

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https://doi.org/10.1016/j.ifacol.2016.07.443
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IFAC-PapersOnLine. 2016, 49(8), pp. 210-215. ISSN 2405-8963. Available under: doi: 10.1016/j.ifacol.2016.07.443

Zusammenfassung

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.

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510 Mathematik

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ISO 690BANHOLZER, Stefan, Dennis BEERMANN, Stefan VOLKWEIN, 2016. POD-Based Bicriterial Optimal Control by the Reference Point Method. In: IFAC-PapersOnLine. 2016, 49(8), pp. 210-215. ISSN 2405-8963. Available under: doi: 10.1016/j.ifacol.2016.07.443
BibTex
@article{Banholzer2016PODBa-39731,
  year={2016},
  doi={10.1016/j.ifacol.2016.07.443},
  title={POD-Based Bicriterial Optimal Control by the Reference Point Method},
  number={8},
  volume={49},
  issn={2405-8963},
  journal={IFAC-PapersOnLine},
  pages={210--215},
  author={Banholzer, Stefan and Beermann, Dennis and Volkwein, Stefan}
}
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