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 …

Statistical learning theory for control: A finite-sample perspective

A Tsiamis, I Ziemann, N Matni… - IEEE Control Systems …, 2023 - ieeexplore.ieee.org
Learning algorithms have become an integral component to modern engineering solutions.
Examples range from self-driving cars and recommender systems to finance and even …

[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 …

[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 Syst., 2022 - 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 …

Non-asymptotic identification of linear dynamical systems using multiple trajectories

Y Zheng, N Li - IEEE Control Systems Letters, 2020 - ieeexplore.ieee.org
This letter considers the problem of linear time-invariant (LTI) system identification using
input/output data. Recent work has provided non-asymptotic results on partially observed …

From self-tuning regulators to reinforcement learning and back again

N Matni, A Proutiere, A Rantzer… - 2019 IEEE 58th …, 2019 - ieeexplore.ieee.org
Machine and reinforcement learning (RL) are increasingly being applied to plan and control
the behavior of autonomous systems interacting with the physical world. Examples include …

Sample complexity of linear quadratic gaussian (LQG) control for output feedback systems

Y Zheng, L Furieri, M Kamgarpour… - Learning for dynamics …, 2021 - proceedings.mlr.press
This paper studies a class of partially observed Linear Quadratic Gaussian (LQG) problems
with unknown dynamics. We establish an end-to-end sample complexity bound on learning …

[HTML][HTML] Advanced control using decomposition and simple elements

S Skogestad - Annual Reviews in Control, 2023 - Elsevier
The paper explores the standard advanced control elements commonly used in industry for
designing advanced control systems. These elements include cascade, ratio, feedforward …

Robust guarantees for perception-based control

S Dean, N Matni, B Recht, V Ye - Learning for Dynamics …, 2020 - proceedings.mlr.press
Motivated by vision-based control of autonomous vehicles, we consider the problem of
controlling a known linear dynamical system for which partial state information, such as …

Introduction to online nonstochastic control

E Hazan, K Singh - arXiv preprint arXiv:2211.09619, 2022 - arxiv.org
This text presents an introduction to an emerging paradigm in control of dynamical systems
and differentiable reinforcement learning called online nonstochastic control. The new …