Modellprädiktive Regelung partieller Differentialgleichungen für den energieeffizienten Betrieb von Gebäuden: Ökonomische Modellprädiktive Regelung und zeitvariante Systeme

• Antragsteller: Professor Dr. Lars Grüne
• Fachliche Zuordnung: Automatisierungstechnik, Mechatronik, Regelungssysteme, Intelligente Technische Systeme, Robotik
• Förderung: Förderung von 2015 bis 2021
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 274853298

• Erstellungsjahr: 2021

Zusammenfassung der Projektergebnisse

The overall aim of the project was the development of efficient controllers for the energy efficient HVAC of buildings. These controllers should be able to incorporate possible changes e.g. in outside temperature (due to weather changes). This problem is very challenging because the underlying physics leads to complex, large-scale problems which have to be solved numerically very often. To overcome these difficulties we develop an algorithmic optimal control strategy, where the interplay between the optimization methods and the simplification of the physical model (by linearization and reduced-order approaches) was done in an efficient and certified way.

Projektbezogene Publikationen (Auswahl)

• Closed-loop performance analysis for economic model predictive control of time-varying systems. In Proceedings of the 56th IEEE Conference on Decision and Control — CDC 2017, pages 5563–5569, Melbourne, Australia, 2017
  L. Grüne and S. Pirkelmann
  (Siehe online unter https://doi.org/10.1109/CDC.2017.8264485)
• Flachheitsbasierte beschränkte Optimalsteuerung für Diffusions-Reaktionssysteme. In Tagungsband GMA-Fachausschuss 1.40 ”Theoretische Verfahren der Regelungstechnik”, pages 89–104, Anif (A), Sep. 20–22 2017
  J. Andrej and T. Meurer
  
• Flatness-based constrained optimal control of reaction-diffusion systems. In Proc. American Control Conference (ACC), pages 2539–2544, June 2018
  J. Andrej and T. Meurer
  (Siehe online unter https://doi.org/10.23919/ACC.2018.8431201)
• Flatness-based model predictive control of linear diffusionconvection-reaction processes. In 2018 IEEE Conference on Decision and Control (CDC), pages 527–532, Dec. 2018
  T. Meurer and J. Andrej
  (Siehe online unter https://doi.org/10.1109/CDC.2018.8619837)
• Reduced-order greedy controllability of finite dimensional linear systems. IFAC-PapesOnline, 51:296–301, 2018
  G. Fabrini, L. Iapichino, and S. Volkwein
  (Siehe online unter https://doi.org/10.1016/j.ifacol.2018.03.051)
• Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems. In G. Feichtinger, R. M. Kovacevic, and G. Tragler, editors, Control systems and mathematical methods in economics: Essays in Honor of Vladimir M. Veliov, volume 687 of Lecture Notes in Econom. and Math. Systems, pages 195–218. Springer, Cham, 2018
  L. Grüne, S. Pirkelmann, and M. Stieler
  (Siehe online unter https://doi.org/10.1007/978-3-319-75169-6_10)
• Coupling MPC and HJB for the computation of POD-based feedback laws. Lecture Notes in Computational Science and Engineering, 126:941–949, 2019
  G. Fabrini, M. Falcone, and S. Volkwein
  (Siehe online unter https://doi.org/10.1007/978-3-319-96415-7_89)
• Economic model predictive control for time-varying system: Performance and stability results. Opt. Control Appl. Meth., 41(1):42– 64, 2019. Special Issue: MPC for Energy Systems: Economic and Distributed Approaches
  L. Grüne and S. Pirkelmann
  (Siehe online unter https://doi.org/10.1002/oca.2492)
• Numerical verification of turnpike and continuity properties for time-varying pdes. In Proceedings of NOLCOS 2019, volume 52 of IFAC-PapersOnLine, pages 7–12, Vienna, Austria, 2019
  L. Grüne and S. Pirkelmann
  (Siehe online unter https://doi.org/10.1016/j.ifacol.2019.08.002)
• POD-based economic model predictive control for heatconvection phenomena. Lecture Notes in Computational Science and Engineering, 126:663–670, 2019
  L. Mechelli and S. Volkwein
  (Siehe online unter https://doi.org/10.1007/978-3-319-96415-7_61)
• Multiobjective model predictive control of a parabolic advection-diffusion-reaction equation. Lecture Notes in Computational Science and Engineering, 8:777, 2020
  S. Banholzer, G. Fabrini, L. Grüne, and S. Volkwein
  (Siehe online unter https://doi.org/10.3390/math8050777)
• POD-based augmented Lagrangian method for state constrained heat-convection phenomena. In J. Fehr and B. Haasdonk, editors, IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, May 22–25, 2018. Springer International Publishing, Cham, 2020
  J. S. Jehle, L. Mechelli, and S. Volkwein
  (Siehe online unter https://doi.org/10.1007/978-3-030-21013-7_9)
• POD-based economic optimal control for heat-convection phenomena. In M. Falcone, R. Ferretti, L. Grüne, and W. M. McE-neaney, editors, Numerical Methods for Optimal Control Problems, volume 29 of Springer INdAM Series. Springer, Cham, 2020
  L. Mechelli and S. Volkwein
  (Siehe online unter https://doi.org/10.1007/978-3-030-01959-4_4)
• Parallelized POD-based suboptimal economic model predictive control of a stateconstrained Boussinesq approximation, 2021. in: Journal Computers and Mathematics with Applications
  J. Andrej, L. Grüne, L. Mechelli, T. Meurer, S. Pirkelmann, and S. Volkwein
  (Siehe online unter https://doi.org/10.1016/j.camwa.2021.09.004)
• Performance estimates for economic model predictive control and their application in POD-based implementations. Mathematical Control and Related Fields, 11:579–599, 2021
  L. Grüne, L. Mechelli, S. Pirkelmann, and S. Volkwein
  (Siehe online unter https://doi.org/10.3934/mcrf.2021013)