POD-Based Bicriterial Optimal Control by the Reference Point Method
| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Banholzer, Stefan; Beermann, Dennis; Volkwein, Stefan |
| Year of publication: | 2016 |
| Published in: | IFAC-PapersOnLine ; 49 (2016), 8. - pp. 210-215. - ISSN 2405-8963 |
| DOI (citable link): | https://dx.doi.org/10.1016/j.ifacol.2016.07.443 |
| Summary: |
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.
|
| Subject (DDC): | 510 Mathematics |
| Bibliography of Konstanz: | Yes |
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BANHOLZER, Stefan, Dennis BEERMANN, Stefan VOLKWEIN, 2016. POD-Based Bicriterial Optimal Control by the Reference Point Method. In: IFAC-PapersOnLine. 49(8), pp. 210-215. ISSN 2405-8963. Available under: doi: 10.1016/j.ifacol.2016.07.443
@article{Banholzer2016PODBa-39731, title={POD-Based Bicriterial Optimal Control by the Reference Point Method}, year={2016}, doi={10.1016/j.ifacol.2016.07.443}, 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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