Title data
Andrej, Julian ; Grüne, Lars ; Mechelli, Luca ; Meurer, Thomas ; Pirkelmann, Simon ; Volkwein, Stefan:
Parallelized PODbased Suboptimal Economic Model Predictive Control of a StateConstrained Boussinesq approximation.
In: Computers & Mathematics with Applications.
Vol. 116
(2022)
.
 pp. 7181.
ISSN 08981221
DOI: https://doi.org/10.1016/j.camwa.2021.09.004
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Project information
Project title: 
Project's official title Project's id Model predictive PDE control for energy efficient building operation: economic model predictive control and timevarying systems GR 1569/161 Model predictive PDE control for energy efficient building operation: reduced order methods for nonlinear model predictive control VO 1658/41 Model predictive PDE control for energy efficient building operation: flatnessbased MPC and observer design for PDE systems ME 3231/31 

Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract in another language
Motivated by an energy efficient building application, we want to optimize a quadratic cost functional subject to the Boussinesq approximation of the NavierStokes equations and to bilateral state and control constraints. Since the computation of such an optimal solution is numerically costly, we design an efficient strategy to compute a suboptimal (but applicationally acceptable) solution with significantly reduced computational effort. We employ an economic Model Predictive Control (MPC) strategy to obtain a feedback control. The MPC subproblems are based on a linearquadratic optimal control problem subjected to mixed control and state constraints and a convectiondiffusion equation, reduced with proper orthogonal decomposition. To solve each subproblem, we apply a primaldual active set strategy. The method can be fully parallelized, which enables the solution of large problems with realworld parameters.
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Parallelized PODbased Suboptimal Economic Model Predictive Control of a StateConstrained Boussinesq approximation. (deposited 13 Jan 2021 14:01)
 Parallelized PODbased Suboptimal Economic Model Predictive Control of a StateConstrained Boussinesq approximation. (deposited 21 Feb 2022 09:29) [Currently Displayed]