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 …
takes a representation-free perspective of a dynamical system as a set of trajectories. Till …
Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey
This survey presents recent research on determining control-theoretic properties and
designing controllers with rigorous guarantees using semidefinite programming and for …
designing controllers with rigorous guarantees using semidefinite programming and for …
From noisy data to feedback controllers: Nonconservative design via a matrix S-lemma
HJ van Waarde, MK Camlibel… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
In this article, we propose a new method to obtain feedback controllers of an unknown
dynamical system directly from noisy input/state data. The key ingredient of our design is a …
dynamical system directly from noisy input/state data. The key ingredient of our design is a …
[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 …
and state measurements collected in an experiment. In the presence of a process …
Data-driven stabilization of nonlinear polynomial systems with noisy data
M Guo, C De Persis, P Tesi - IEEE Transactions on Automatic …, 2021 - ieeexplore.ieee.org
In a recent article, we have shown how to learn controllers for unknown linear systems using
finite-length noisy data by solving linear matrix inequalities. In this article, we extend this …
finite-length noisy data by solving linear matrix inequalities. In this article, we extend this …
[HTML][HTML] Learning controllers for nonlinear systems from data
C De Persis, P Tesi - Annual Reviews in Control, 2023 - Elsevier
This article provides an overview of a new approach to designing controllers for nonlinear
systems using data-driven control. Data-driven control is an important area of research in …
systems using data-driven control. Data-driven control is an important area of research in …
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 …
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
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 …
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
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 …
have the potential to significantly reduce deployment costs and increase the uptake of …
[HTML][HTML] Trade-offs in learning controllers from noisy data
A Bisoffi, C De Persis, P Tesi - Systems & Control Letters, 2021 - Elsevier
In data-driven control, a central question is how to handle noisy data. In this work, we
consider the problem of designing a stabilizing controller for an unknown linear system …
consider the problem of designing a stabilizing controller for an unknown linear system …