Data-driven online convex optimization for control of dynamical systems

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OriginalspracheEnglisch
Titel des Sammelwerks60th IEEE Conference on Decision and Control, CDC 2021
Herausgeber (Verlag)Institute of Electrical and Electronics Engineers Inc.
Seiten3640-3645
Seitenumfang6
ISBN (elektronisch)9781665436595
ISBN (Print)978-1-6654-3660-1
PublikationsstatusVeröffentlicht - 2021
Veranstaltung60th IEEE Conference on Decision and Control, CDC 2021 - Austin, USA / Vereinigte Staaten
Dauer: 14 Dez. 202117 Dez. 2021

Publikationsreihe

NameProceedings of the IEEE Conference on Decision and Control
Band2021-December
ISSN (Print)0743-1546
ISSN (elektronisch)2576-2370

Abstract

We propose a data-driven online convex optimization algorithm for controlling dynamical systems. In particular, the control scheme makes use of an initially measured input-output trajectory and behavioral systems theory which enable it to handle unknown discrete-time linear time-invariant systems as well as a priori unknown time-varying cost functions. Further, only output feedback instead of full state measurements is required for the proposed approach. Analysis of the closed loop's performance reveals that the algorithm achieves sublinear regret if the variation of the cost functions is sublinear. The effectiveness of the proposed algorithm, even in the case of noisy measurements, is illustrated by a simulation example.

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Data-driven online convex optimization for control of dynamical systems. / Nonhoff, Marko; Muller, Matthias A.
60th IEEE Conference on Decision and Control, CDC 2021. Institute of Electrical and Electronics Engineers Inc., 2021. S. 3640-3645 (Proceedings of the IEEE Conference on Decision and Control; Band 2021-December).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Nonhoff, M & Muller, MA 2021, Data-driven online convex optimization for control of dynamical systems. in 60th IEEE Conference on Decision and Control, CDC 2021. Proceedings of the IEEE Conference on Decision and Control, Bd. 2021-December, Institute of Electrical and Electronics Engineers Inc., S. 3640-3645, 60th IEEE Conference on Decision and Control, CDC 2021, Austin, Texas, USA / Vereinigte Staaten, 14 Dez. 2021. https://doi.org/10.48550/arXiv.2103.09127, https://doi.org/10.1109/CDC45484.2021.9683550
Nonhoff, M., & Muller, M. A. (2021). Data-driven online convex optimization for control of dynamical systems. In 60th IEEE Conference on Decision and Control, CDC 2021 (S. 3640-3645). (Proceedings of the IEEE Conference on Decision and Control; Band 2021-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.48550/arXiv.2103.09127, https://doi.org/10.1109/CDC45484.2021.9683550
Nonhoff M, Muller MA. Data-driven online convex optimization for control of dynamical systems. in 60th IEEE Conference on Decision and Control, CDC 2021. Institute of Electrical and Electronics Engineers Inc. 2021. S. 3640-3645. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.48550/arXiv.2103.09127, 10.1109/CDC45484.2021.9683550
Nonhoff, Marko ; Muller, Matthias A. / Data-driven online convex optimization for control of dynamical systems. 60th IEEE Conference on Decision and Control, CDC 2021. Institute of Electrical and Electronics Engineers Inc., 2021. S. 3640-3645 (Proceedings of the IEEE Conference on Decision and Control).
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