An overview of systems-theoretic guarantees in data-driven model predictive control

J Berberich, F Allgöwer - Annual Review of Control, Robotics …, 2024 - annualreviews.org
The development of control methods based on data has seen a surge of interest in recent
years. When applying data-driven controllers in real-world applications, providing theoretical …

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 …

Data-driven min-max MPC for linear systems: Robustness and adaptation

Y **e, J Berberich, F Allgöwer - arxiv preprint arxiv:2404.19096, 2024 - arxiv.org
Data-driven controllers design is an important research problem, in particular when data is
corrupted by the noise. In this paper, we propose a data-driven min-max model predictive …

Learning the uncertainty sets of linear control systems via set membership: A non-asymptotic analysis

Y Li, J Yu, L Conger, T Kargin… - Forty-first International …, 2024 - openreview.net
This paper studies uncertainty set estimation for unknown linear systems. Uncertainty sets
are crucial for the quality of robust control since they directly influence the conservativeness …

Sampling-based stochastic data-driven predictive control under data uncertainty

J Teutsch, S Kerz, D Wollherr, M Leibold - arxiv preprint arxiv:2402.00681, 2024 - arxiv.org
We present a stochastic constrained output-feedback data-driven predictive control scheme
for linear time-invariant systems subject to bounded additive disturbances. The approach …

Data-informativity for data-driven supervisory control of discrete-event systems

T Ohtsuka, K Cai, K Kashima - 2023 62nd IEEE Conference on …, 2023 - ieeexplore.ieee.org
In this paper we develop a data-driven approach for supervisory control of discrete-event
systems (DES). We consider a setup in which models of DES to be controlled are unknown …

A Frequency-Domain Version of Willems' Fundamental Lemma

TJ Meijer, SAN Nouwens, VS Dolk… - arxiv preprint arxiv …, 2023 - arxiv.org
Willems' fundamental lemma has recently received an impressive amount of attention in the
(data-driven) control community. In this paper, we formulate a frequency-domain equivalent …

Closed-loop data-enabled predictive control and its equivalence with closed-loop subspace predictive control

R Dinkla, S Mulders, T Oomen… - arxiv preprint arxiv …, 2024 - arxiv.org
Factors like improved data availability and increasing system complexity have sparked
interest in data-driven predictive control (DDPC) methods like Data-enabled Predictive …

Time-domain iterative rational Krylov method

MS Ackermann, S Gugercin - arxiv preprint arxiv:2407.12670, 2024 - arxiv.org
The Realization Independent Iterative Rational Krylov Algorithm (TF-IRKA) is a frequency-
based data-driven reduced order modeling (DDROM) method that constructs $\mathcal H_2 …

Necessary and sufficient conditions for data-driven model reference control

J Wang, S Baldi, HJ Van Waarde - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
The objective of model reference control is to design a controller that regulates the system's
behavior so as to match a specified reference model. This paper investigates necessary and …