POD-Based Bicriterial Optimal Control by the Reference Point Method
POD-Based Bicriterial Optimal Control by the Reference Point Method
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2016
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2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations / Macchelli, Alessandro (Hrsg.). - Laxenburg : IFAC, 2016. - (IFAC-Papers Online ; 49,8). - S. 210-215. - eISSN 2405-8963
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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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, 13. Juni 2016 - 15. Juni 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.2016.07.443BibTex
@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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