General Information
- Lecturer
- Prerequisites
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"Einführung in die Regelungstechnik" (ERT) and "Konzepte der Regelungstechnik" (KRT) or equivalent lectures
- Lectures
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Wednesday 09:45-11:15 in room V9.2.253/V9.2.255
First lecture: 27.10.2021
Content
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.
Information
This lecture is offered within the 3LP master's module Advanced Methods in Systems and Control Theory.
Exam
The exam will be a written closed-book exam (i.e., keine Hilfsmittel!) and will last 60 minutes.
Literature
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.
Julian Berberich
Dr.-Ing.Lecturer (akademischer Rat)