bei Google ScholarTitelangaben
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.
Bayreuth ; Kiel ; Konstanz
,
2020
. - 26 S.
Volltext
Weitere URLs
Angaben zu Projekten
| Projekttitel: |
Offizieller Projekttitel Projekt-ID Model predictive PDE control for energy efficient building operation: economic model predictive control and time-varying systems GR 1569/16-1 Model predictive PDE control for energy efficient building operation: reduced order methods for nonlinear model predictive control VO 1658/4-1 Model predictive PDE control for energy efficient building operation: flatness-based MPC and observer design for PDE systems ME 3231/3-1 |
|---|---|
| Projektfinanzierung: |
Deutsche Forschungsgemeinschaft |
Abstract
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.
Weitere Angaben
Zu diesem Eintrag verfügbare Versionen
- Parallelized POD-based Suboptimal Economic Model Predictive Control of a State-Constrained Boussinesq approximation. (deposited 13 Jan 2021 14:01) [Aktuelle Anzeige]