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 …

Data-driven control of distributed event-triggered network systems

X Wang, J Sun, G Wang, F Allgöwer… - IEEE/CAA Journal of …, 2023 - ieeexplore.ieee.org
The present paper deals with data-driven event-triggered control of a class of unknown
discrete-time interconnected systems (aka network systems). To this end, we start by putting …

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 …

[HTML][HTML] Data-driven control via Petersen's lemma

A Bisoffi, C De Persis, P Tesi - Automatica, 2022 - Elsevier
We address the problem of designing a stabilizing closed-loop control law directly from input
and state measurements collected in an experiment. In the presence of a process …

[HTML][HTML] Behavioral theory for stochastic systems? A data-driven journey from Willems to Wiener and back again

T Faulwasser, R Ou, G Pan, P Schmitz… - Annual Reviews in …, 2023 - Elsevier
The fundamental lemma by Jan C. Willems and co-workers is deeply rooted in behavioral
systems theory and it has become one of the supporting pillars of the recent progress on …

Event-triggered consensus control of heterogeneous multi-agent systems: Model-and data-based approaches

X Wang, J Sun, F Deng, G Wang, J Chen - Science China Information …, 2023 - Springer
This article addresses the model-and data-based event-triggered consensus of
heterogeneous leader/follower multi-agent systems (MASs). A dynamic periodic …

Learning controllers from data via approximate nonlinearity cancellation

C De Persis, M Rotulo, P Tesi - IEEE Transactions on Automatic …, 2023 - ieeexplore.ieee.org
In this article, we introduce a method to deal with the data-driven control design of nonlinear
systems. We derive conditions to design controllers via (approximate) nonlinearity …

[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 …