POD-Based Bicriterial Optimal Control by the Reference Point Method
| Type of Publication: | Contribution to a conference |
| Publication status: | Published |
| Author: | Banholzer, Stefan; Beermann, Dennis; Volkwein, Stefan |
| Year of publication: | 2016 |
| Conference: | 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, Jun 13, 2016 - Jun 15, 2016, Bertinoro, Italy |
| Published in: | 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations / Macchelli, Alessandro (ed.). - Laxenburg : IFAC, 2016. - (IFAC-Papers Online ; 49,8). - pp. 210-215. - eISSN 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. 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations. Bertinoro, Italy, Jun 13, 2016 - Jun 15, 2016. In: MACCHELLI, Alessandro, ed.. 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations. Laxenburg:IFAC, pp. 210-215. eISSN 2405-8963. Available under: doi: 10.1016/j.ifacol.2016.07.443
@inproceedings{Banholzer2016PODBa-34156.2, title={POD-Based Bicriterial Optimal Control by the Reference Point Method}, year={2016}, doi={10.1016/j.ifacol.2016.07.443}, number={49,8}, address={Laxenburg}, publisher={IFAC}, 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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