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 …

The data-driven approach to classical control theory

AS Bazanella, L Campestrini, D Eckhard - Annual Reviews in Control, 2023 - Elsevier
A data-driven approach to control design has been developing, since the early 1990's, upon
the concepts and the methods of classical control theory; to this approach we refer as data …

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 …

Direct data-driven state-feedback control of linear parameter-varying systems

C Verhoek, R Tóth, HS Abbas - arXiv preprint arXiv:2211.17182, 2022 - arxiv.org
We derive novel methods that allow to synthesize LPV state-feedback controllers directly
from a single sequence of data and guarantee stability and performance of the closed-loop …

Direct data-driven state-feedback control of general nonlinear systems

C Verhoek, PJW Koelewijn… - 2023 62nd IEEE …, 2023 - ieeexplore.ieee.org
Through the use of the Fundamental Lemma for linear systems, a direct data-driven state-
feedback control synthesis method is presented for a rather general class of nonlinear (NL) …

Data-driven dissipativity analysis of linear parameter-varying systems

C Verhoek, J Berberich, S Haesaert… - … on Automatic Control, 2024 - ieeexplore.ieee.org
In this article, we derive direct data-driven dissipativity analysis methods for linear parameter-
varying (LPV) systems using a single sequence of input-scheduling-output data. By means …

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 …

[HTML][HTML] A continuous-time fundamental lemma and its application in data-driven optimal control

P Schmitz, T Faulwasser, P Rapisarda… - Systems & control …, 2024 - Elsevier
Data-driven control of discrete-time and continuous-time systems is of tremendous research
interest. In this paper, we explore data-driven optimal control of continuous-time linear …

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 …

Decoupling parameter variation from noise: Biquadratic Lyapunov forms in data-driven LPV control

C Verhoek, J Eising, F Dörfler, R Tóth - arXiv preprint arXiv:2403.16565, 2024 - arxiv.org
A promising step from linear towards nonlinear data-driven control is via the design of
controllers for linear parameter-varying (LPV) systems, which are linear systems whose …