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 …
[HTML][HTML] Closed-form and robust expressions for data-driven LQ control
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 …
sequences are computed from (noisy) data collected during offline control experiments …
Data-driven optimal control of bilinear systems
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 …
a priori knowledge of the dynamics. Given an unknown bilinear system, we characterize …
Direct data-driven model-reference control with Lyapunov stability guarantees
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 …
linear systems with fully measurable state. The proposed control action is composed by a …
Data-driven estimation and maximization of controllability Gramians
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 …
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
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 …
desirable features, thus bypassing system identification. In this paper we present strategies …
[HTML][HTML] Data-driven dynamic relatively optimal control
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 …
systems can be exploited to obtain closed-loop control laws in the form of linear dynamic …
Distributed learning of optimal controls for linear systems
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 …
driven methods allow to compute controllers leveraging solely a set of previously recorded …
Closed-loop control from data-driven open-loop optimal control trajectories
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 …
systems can be exploited to obtain closed-loop piecewise-affine control laws, by employing …
Model-free feedback control synthesis from expert demonstration
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 …
absence of a model, starting from the open-loop control generated by an expert operator …