Data-Driven Control

WS 2021/22

Lecturer: Julian Berberich, M.Sc.
Scope: 1.5L/0.5E
Credits: 3

General Information


"Einführung in die Regelungstechnik" (ERT) and "Konzepte der Regelungstechnik" (KRT) or equivalent lectures


Wednesday 09:45-11:15 in room V9.2.253/V9.2.255

First lecture: 27.10.2021


Different control-theoretic approaches to analyzing systems and designing controllers based directly on measured data are covered. Among the topics that are handled are virtual reference feedback tuning, the data informativity framework, and Willems' Fundamental Lemma.


This lecture is offered within the 3LP master's module Advanced Methods in Systems and Control Theory.


The exam will be a written closed-book exam (i.e., keine Hilfsmittel!) and will last 60 minutes.


Virtual Reference Feedback Tuning:

  • C. Campi, A. Lecchini, and S. M. Savaresi, "Virtual reference feedback tuning: a direct method for the design of feedback controllers", Automatica, 2002, vol. 38, no. 8, pp.742-753.
  • A. Bazanella, L. Campestrini, and D. Eckhard, "Data-driven controller design: the H2 approach", Haarlem, Netherlands: Springer, 2011.

Data informativity:

  • H. J. van Waarde, J. Eising, H. L. Trentelman, and M. K. Camlibel, "Data informativity: a new perspective on data-driven analysis and control", IEEE Transactions on Automatic Control, 2020, vol. 65, no. 11, pp. 4753-4768.
  • H. J. van Waarde, M. K. Camlibel, and M. Mesbahi, "From noisy data to feedback controllers: non-conservative design via a matrix S-lemma", IEEE Transactions on Automatic Control, 2020, DOI: 10.1109/TAC.2020.3047577.
  • A. Koch, J. Berberich, and F. Allgöwer, "Provably robust verification of dissipativity properties from data", arXiv:2006.05974, 2020.
  • J. Berberich, C. W. Scherer, F. Allgöwer, "Combining prior knowledge and data for robust controller design", arXiv:2009.05253, 2020.

Willems' Fundamental Lemma:

  • J. C. Willems, P. Rapisarda, I. Markovsky, and B. De Moor, "A note on persistency of excitation", Systems & Control Letters, 2005, vol. 54, pp. 325-329.
  • I. Markovsky and P. Rapisarda, "Data-driven simulation and control", International Journal of Control, 2008, vol. 81, no. 12, pp. 1946-1959.
  • J. Coulson, J. Lygeros, and F. Dörfler, "Data-enabled predictive control: In the shallows of the DeePC", in Proc. European Control Conference, 2019, pp. 307-312.
  • J. Berberich, J. Köhler, M. A. Müller, and F. Allgöwer, "Data-driven model predictive control with stability and robustness guarantees", IEEE Transactions on Automatic Control, 2021, vol. 66, no. 4, pp. 1702-1717.
  • A. Romer, J. Berberich, J. Köhler, and F. Allgöwer, "One-shot verification of dissipativity properties from input-output data", IEEE Control Systems Letters, 2019, vol. 3, no. 3, pp. 709-714.
This image shows Julian Berberich

Julian Berberich


Lecturer (akademischer Rat)

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