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 …

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 …

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] 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 …

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 …

Adaptive robust data-driven building control via bilevel reformulation: An experimental result

Y Lian, J Shi, M Koch, CN Jones - IEEE Transactions on Control …, 2023 - ieeexplore.ieee.org
Data-driven control approaches for the minimization of energy consumption of buildings
have the potential to significantly reduce deployment costs and increase the uptake of …

Data-driven control for linear discrete-time delay systems

JG Rueda-Escobedo, E Fridman… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The increasing ease of obtaining and processing data together with the growth in system
complexity has sparked the interest in moving from conventional model-based control …

Provably robust verification of dissipativity properties from data

A Koch, J Berberich, F Allgöwer - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Dissipativity properties have proven to be very valuable for systems analysis and controller
design. With the rising amount of available data, there has, therefore, been an increasing …