Behavioral systems theory in data-driven analysis, signal processing, and control

I Markovsky, F Dörfler - Annual Reviews in Control, 2021 - Elsevier
The behavioral approach to systems theory, put forward 40 years ago by Jan C. Willems,
takes a representation-free perspective of a dynamical system as a set of trajectories. Till …

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 …

Bridging direct and indirect data-driven control formulations via regularizations and relaxations

F Dörfler, J Coulson, I Markovsky - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this article, we discuss connections between sequential system identification and control
for linear time-invariant systems, often termed indirect data-driven control, as well as a …

Linear tracking MPC for nonlinear systems—Part II: The data-driven case

J Berberich, J Köhler, MA Müller… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this article, we present a novel data-driven model predictive control (MPC) approach to
control unknown nonlinear systems using only measured input–output data with closed-loop …

[PDF][PDF] Data-driven control based on the behavioral approach: From theory to applications in power systems

I Markovsky, L Huang, F Dörfler - IEEE Control Systems …, 2023 - imarkovs.github.io
Behavioral systems theory decouples the behavior of a system from its representation. A key
result is that, under a persistency of excitation condition, the image of a Hankel matrix …

Data-driven continuous-set predictive current control for synchronous motor drives

PG Carlet, A Favato, S Bolognani… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Optimization-based control strategies are an affirmed research topic in the area of electric
motor drives. These methods typically rely on the accurate parametric representation of …

MPC-based motion planning and control enables smarter and safer autonomous marine vehicles: Perspectives and a tutorial survey

H Wei, Y Shi - IEEE/CAA Journal of Automatica Sinica, 2022 - ieeexplore.ieee.org
Autonomous marine vehicles (AMVs) have received considerable attention in the past few
decades, mainly because they play essential roles in broad marine applications such as …

Fusion of machine learning and MPC under uncertainty: What advances are on the horizon?

A Mesbah, KP Wabersich, AP Schoellig… - 2022 American …, 2022 - ieeexplore.ieee.org
This paper provides an overview of the recent research efforts on the integration of machine
learning and model predictive control under uncertainty. The paper is organized as a …

Combining prior knowledge and data for robust controller design

J Berberich, CW Scherer… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
We present a framework for systematically combining data of an unknown linear time-
invariant system with prior knowledge on the system matrices or on the uncertainty for robust …

[HTML][HTML] Handbook of linear data-driven predictive control: Theory, implementation and design

PCN Verheijen, V Breschi, M Lazar - Annual Reviews in Control, 2023 - Elsevier
Data-driven predictive control (DPC) has gained an increased interest as an alternative to
model predictive control in recent years, since it requires less system knowledge for …