POD-Based Economic Model Predictive Control for Heat-Convection Phenomena

  • Luca MechelliEmail author
  • Stefan Volkwein
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 126)


In the setting of energy efficient building operation, an optimal boundary 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.



L. Mechelli gratefully acknowledges support by the German Research Foundation DFG grant Reduced-Order Methods for Nonlinear Model Predictive Control.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.University of KonstanzDepartment of Mathematics and StatisticsKonstanzGermany

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