Title data
Andrej, Julian ; Grüne, Lars ; Mechelli, Luca ; Meurer, Thomas ; Pirkelmann, Simon ; Volkwein, Stefan:
Parallelized POD-based Suboptimal Economic Model Predictive Control of a State-Constrained Boussinesq approximation.
In: Computers & Mathematics with Applications.
Vol. Online First
(29 September 2021)
.
ISSN 0898-1221
DOI: https://doi.org/10.1016/j.camwa.2021.09.004
This is the latest version of this item.
Related URLs
Project information
Project title: |
|
||||||||
---|---|---|---|---|---|---|---|---|---|
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 Navier-Stokes 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 sub-optimal (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 sub-problems are based on a linear-quadratic optimal control problem subjected to mixed control and state constraints and a convection-diffusion equation, reduced with proper orthogonal decomposition. To solve each sub-problem, we apply a primal-dual active set strategy. The method can be fully parallelized, which enables the solution of large problems with real-world parameters.
Further data
Available Versions of this Item
-
Parallelized POD-based Suboptimal Economic Model Predictive Control of a State-Constrained Boussinesq approximation. (deposited 13 Jan 2021 14:01)
- Parallelized POD-based Suboptimal Economic Model Predictive Control of a State-Constrained Boussinesq approximation. (deposited 21 Feb 2022 09:29) [Currently Displayed]