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] Closed-form and robust expressions for data-driven LQ control

F Celi, G Baggio, F Pasqualetti - Annual Reviews in Control, 2023 - Elsevier
This article provides an overview of certain direct data-driven control results, where control
sequences are computed from (noisy) data collected during offline control experiments …

Data-driven optimal control of bilinear systems

Z Yuan, J Cortés - IEEE Control Systems Letters, 2022 - ieeexplore.ieee.org
This letter develops a method to learn optimal controls from data for bilinear systems without
a priori knowledge of the dynamics. Given an unknown bilinear system, we characterize …

Direct data-driven model-reference control with Lyapunov stability guarantees

V Breschi, C De Persis, S Formentin… - 2021 60th IEEE …, 2021 - ieeexplore.ieee.org
We introduce a novel data-driven model-reference control design approach for unknown
linear systems with fully measurable state. The proposed control action is composed by a …

Data-driven estimation and maximization of controllability Gramians

I Banno, SI Azuma, R Ariizumi, T Asai… - 2021 60th IEEE …, 2021 - ieeexplore.ieee.org
Controllability Gramians are the most widely used measures of controllability, which quantify
the reachable state sets of systems with a control input of unit energy. They are utilized as a …

Closed-form estimates of the LQR gain from finite data

F Celi, G Baggio, F Pasqualetti - 2022 IEEE 61st Conference on …, 2022 - ieeexplore.ieee.org
When dealing with unknown systems, data can be used to directly learn controllers with
desirable features, thus bypassing system identification. In this paper we present strategies …

[HTML][HTML] Data-driven dynamic relatively optimal control

FA Pellegrino, F Blanchini, G Fenu, E Salvato - European Journal of Control, 2023 - Elsevier
We show how the recent works on data-driven open-loop minimum-energy control for linear
systems can be exploited to obtain closed-loop control laws in the form of linear dynamic …

Distributed learning of optimal controls for linear systems

F Celi, G Baggio, F Pasqualetti - 2021 60th IEEE Conference on …, 2021 - ieeexplore.ieee.org
While classic controller design methods rely on a model of the underlying dynamics, data-
driven methods allow to compute controllers leveraging solely a set of previously recorded …

Closed-loop control from data-driven open-loop optimal control trajectories

FA Pellegrino, F Blanchini, G Fenu… - 2022 European Control …, 2022 - ieeexplore.ieee.org
We show how the recent works on data driven open-loop minimum-energy control for linear
systems can be exploited to obtain closed-loop piecewise-affine control laws, by employing …

Model-free feedback control synthesis from expert demonstration

F Blanchini, F Dabbene, G Fenu… - IEEE Control …, 2023 - ieeexplore.ieee.org
We show how it is possible to synthesize a stabilizing feedback control, in the complete
absence of a model, starting from the open-loop control generated by an expert operator …