Data-Driven Controller Design via Finite-Horizon Dissipativity
Abstract
Given a single measured trajectory of a discrete-time linear time-invariant system, we present a framework for data-driven controller design for closed-loop finite-horizon dissipativity. First we parametrize all closed-loop trajectories using the given data of the plant and a model of the controller. We then provide an approach to validate the controller by verifying closed-loop dissipativity in the standard feedback loop based on this parametrization. The developed conditions allow us to state the corresponding controller synthesis problem as a quadratic matrix inequality feasibility problem. Hence, we obtain purely data-driven synthesis conditions leading to a desired closed-loop dissipativity property. Finally, the results are illustrated with a simulation example.
Cite
Text
Wieler et al. "Data-Driven Controller Design via Finite-Horizon Dissipativity." Proceedings of the 3rd Conference on Learning for Dynamics and Control, 2021.Markdown
[Wieler et al. "Data-Driven Controller Design via Finite-Horizon Dissipativity." Proceedings of the 3rd Conference on Learning for Dynamics and Control, 2021.](https://mlanthology.org/l4dc/2021/wieler2021l4dc-datadriven/)BibTeX
@inproceedings{wieler2021l4dc-datadriven,
title = {{Data-Driven Controller Design via Finite-Horizon Dissipativity}},
author = {Wieler, Nils and Berberich, Julian and Koch, Anne and Allgöwer, Frank},
booktitle = {Proceedings of the 3rd Conference on Learning for Dynamics and Control},
year = {2021},
pages = {287-298},
volume = {144},
url = {https://mlanthology.org/l4dc/2021/wieler2021l4dc-datadriven/}
}