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

2017
Series
Konstanzer Schriften in Mathematik; 369
Publication type
Working Paper/Technical Report
Published
Abstract
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.
510 Mathematics
Cite This
ISO 690MECHELLI, Luca, Stefan VOLKWEIN, 2017. POD-Based Economic Model Predictive Control for Heat-Convection Phenomena
BibTex
@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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