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 …
An overview of systems-theoretic guarantees in data-driven model predictive control
The development of control methods based on data has seen a surge of interest in recent
years. When applying data-driven controllers in real-world applications, providing theoretical …
years. When applying data-driven controllers in real-world applications, providing theoretical …
Bridging direct and indirect data-driven control formulations via regularizations and relaxations
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 …
for linear time-invariant systems, often termed indirect data-driven control, as well as a …
Data-driven control of distributed event-triggered network systems
The present paper deals with data-driven event-triggered control of a class of unknown
discrete-time interconnected systems (aka network systems). To this end, we start by putting …
discrete-time interconnected systems (aka network systems). To this end, we start by putting …
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 …
[HTML][HTML] Data-driven control via Petersen's lemma
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 …
[HTML][HTML] Behavioral theory for stochastic systems? A data-driven journey from Willems to Wiener and back again
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 …
systems theory and it has become one of the supporting pillars of the recent progress on …
Event-triggered consensus control of heterogeneous multi-agent systems: Model-and data-based approaches
This article addresses the model-and data-based event-triggered consensus of
heterogeneous leader/follower multi-agent systems (MASs). A dynamic periodic …
heterogeneous leader/follower multi-agent systems (MASs). A dynamic periodic …
Learning controllers from data via approximate nonlinearity cancellation
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 …