1–2 Jul 2022
Toepffer-Villa (Magdeburg)
Europe/Berlin timezone

Stabilizing Dynamical Systems in the Scarce Data Regime

2 Jul 2022, 09:30
20m
Toepffer-Villa (Magdeburg)

Toepffer-Villa (Magdeburg)

Academic talk (15min) Scientific program Saturday

Speaker

Steffen W. R. Werner (Courant Institute of Mathematical Sciences, New York University)

Description

Stabilizing dynamical systems in science and engineering is challenging, especially in edge cases and limit states where typically little data are available. In this work, we propose a data-driven approach that guarantees finding stabilizing controllers from as few data samples as the dimension of the unstable dynamics, which typically is orders of magnitude lower than the state dimension of the system. The key is learning stabilizing controllers directly from data without learning models of the systems, which would require larger numbers of data points. Numerical experiments with chemical reactors and fluid dynamics behind obstacles demonstrate that the proposed approach stabilizes systems after observing fewer than five data samples even though the dimension of states is orders of magnitude higher.

Primary authors

Steffen W. R. Werner (Courant Institute of Mathematical Sciences, New York University) Prof. Benjamin Peherstorfer (Courant Institute of Mathematical Sciences, New York University)

Presentation materials

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