Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey

T Martin, TB Schön, F Allgöwer - Annual Reviews in Control, 2023 - Elsevier
This survey presents recent research on determining control-theoretic properties and
designing controllers with rigorous guarantees using semidefinite programming and for …

Koopman-based feedback design with stability guarantees

R Strässer, M Schaller, K Worthmann… - … on Automatic Control, 2024 - ieeexplore.ieee.org
We present a method to design a state-feedback controller ensuring exponential stability for
nonlinear systems using only measurement data. Our approach relies on Koopman-operator …

End-to-end guarantees for indirect data-driven control of bilinear systems with finite stochastic data

N Chatzikiriakos, R Strässer, F Allgöwer… - arXiv preprint arXiv …, 2024 - arxiv.org
In this paper we propose an end-to-end algorithm for indirect data-driven control for bilinear
systems with stability guarantees. We consider the case where the collected iid data is …

Leveraging KANs For Enhanced Deep Koopman Operator Discovery

G Nehma, M Tiwari - arXiv preprint arXiv:2406.02875, 2024 - arxiv.org
Multi-layer perceptrons (MLP's) have been extensively utilized in discovering Deep
Koopman operators for linearizing nonlinear dynamics. With the emergence of Kolmogorov …

Extended Kalman Filter–Koopman Operator for Tractable Stochastic Optimal Control

MS Ramadan, M Anitescu - IEEE Control Systems Letters, 2024 - ieeexplore.ieee.org
The theory of dual control was introduced more than seven decades ago. Although it has
provided rich insights to the fields of control, estimation, and system identification, dual …

SafEDMD: A certified learning architecture tailored to data-driven control of nonlinear dynamical systems

R Strässer, M Schaller, K Worthmann… - arXiv preprint arXiv …, 2024 - arxiv.org
The Koopman operator serves as the theoretical backbone for machine learning of
dynamical control systems, where the operator is heuristically approximated by extended …