Type of Publication: | Working Paper/Technical Report |
Publication status: | Published |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2--au6ei3apyzpv0 |
Author: | Mechelli, Luca; Volkwein, Stefan |
Year of publication: | 2017 |
Series: | Konstanzer Schriften in Mathematik ; 365 |
Summary: |
In the setting of energy efficient building operation, an optimal boundary control problem governed by the heat equation with a convection term is considered together with bilateral control and state constraints. The aim is to keep the tem- perature in a prescribed range with the less possible heating cost. In order to gain regular Lagrange multipliers a Lavrentiev regularization for the state constraints is utilized. The regularized optimal control problem is solved by a primal-dual active set strategy (PDASS) which can be interpreted as a semismooth Newton method and, therefore, has a superlinear rate of convergence. To speed up the PDASS a reduced-order approach based on proper orthogonal decomposition (POD) is ap- plied. An a-posterori error analysis ensures that the computed (suboptimal) POD solutions are sufficiently accurate. Numerical test illustates the efficiency of the pro- posed strategy.
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Subject (DDC): | 510 Mathematics |
Link to License: | In Copyright |
Bibliography of Konstanz: | Yes |
MECHELLI, Luca, Stefan VOLKWEIN, 2017. POD-Based Economic Optimal Control of Heat-Convection Phenomena
@techreport{Mechelli2017PODBa-40437, series={Konstanzer Schriften in Mathematik}, title={POD-Based Economic Optimal Control of Heat-Convection Phenomena}, year={2017}, number={365}, author={Mechelli, Luca and Volkwein, Stefan} }
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