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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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MACCHELLI, Alessandro, ed.. 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations. Laxenburg: IFAC, 2016, pp. 210-215. IFAC-Papers Online. 49,8. eISSN 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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2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, 13. Juni 2016 - 15. Juni 2016, Bertinoro, Italy
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ISO 690BANHOLZER, Stefan, Dennis BEERMANN, Stefan VOLKWEIN, 2016. POD-Based Bicriterial Optimal Control by the Reference Point Method. 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations. Bertinoro, Italy, 13. Juni 2016 - 15. Juni 2016. In: MACCHELLI, Alessandro, ed.. 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations. Laxenburg: IFAC, 2016, pp. 210-215. IFAC-Papers Online. 49,8. eISSN 2405-8963. Available under: doi: 10.1016/j.ifacol.2016.07.443
BibTex
@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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