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