@techreport{Mechelli2017PODBa-40768,
  year={2017},
  series={Konstanzer Schriften in Mathematik},
  title={POD-Based Economic Model Predictive Control for Heat-Convection Phenomena},
  number={369},
  author={Mechelli, Luca and Volkwein, Stefan}
}

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    <dcterms:title>POD-Based Economic Model Predictive Control for Heat-Convection Phenomena</dcterms:title>
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    <dcterms:abstract xml:lang="eng">In the setting of energy efficient building operation, an optimal bound- ary control problem governed by a linear parabolic advection-diffusion equation is considered together with bilateral control and state constraints. To keep the temperature in a prescribed range with the less possible heating cost, an economic model predictive control (MPC) strategy is applied. To speed-up the MPC method, a reduced-order approximation based on proper orthogonal decomposition (POD) is utilized. A-posteriori error analysis ensures the quality of the POD models. A numerical test illustrates the efficiency of the proposed strategy.</dcterms:abstract>
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