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 …

[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 …

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 …

[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 …

Decentralized data-enabled predictive control for power system oscillation damping

L Huang, J Coulson, J Lygeros… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
We employ a novel data-enabled predictive control (DeePC) algorithm in voltage source
converter (VSC)-based high-voltage DC (HVDC) stations to perform safe and optimal wide …

Robust and kernelized data-enabled predictive control for nonlinear systems

L Huang, J Lygeros, F Dörfler - IEEE Transactions on Control …, 2023 - ieeexplore.ieee.org
This article presents a robust and kernelized data-enabled predictive control (RoKDeePC)
algorithm to perform model-free optimal control for nonlinear systems using only input and …

Data-driven predictive control with online adaption: Application to a fuel cell system

L Schmitt, J Beerwerth, M Bahr… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Fuel cell systems constitute an electrochemical energy conversion system increasingly used
in stationary and mobile applications. Complying with operational limits in transient …

State space models vs. multi-step predictors in predictive control: Are state space models complicating safe data-driven designs?

J Köhler, KP Wabersich, J Berberich… - 2022 IEEE 61st …, 2022 - ieeexplore.ieee.org
This paper contrasts recursive state space models and direct multi-step predictors for linear
predictive control. We provide a tutorial exposition for both model structures to solve the …

Causality-informed data-driven predictive control

M Sader, Y Wang, D Huang, C Shang… - arXiv preprint arXiv …, 2023 - arxiv.org
As a useful and efficient alternative to generic model-based control scheme, data-driven
predictive control is subject to bias-variance trade-off and is known to not perform desirably …

Input-mapping based data-driven model predictive control for unknown linear systems with bounded disturbances

L Yang, A Ma, D Li, Y Xi - Automatica, 2023 - Elsevier
The data-driven model predictive control (MPC) approach has been an effective tool for
unknown constrained systems. However, most of the existing designs rely on the prior …