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 …
Linear tracking MPC for nonlinear systems—Part II: The data-driven case
In this article, we present a novel data-driven model predictive control (MPC) approach to
control unknown nonlinear systems using only measured input–output data with closed-loop …
control unknown nonlinear systems using only measured input–output data with closed-loop …
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] 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 …
[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 …
A review of the technology standards for enabling digital twin
K Wang, Y Wang, Y Li, X Fan, S ** digital twin enabling applications, a lack of reference to
standards related to digital twin terms, architecture and models leads to differences between …
standards related to digital twin terms, architecture and models leads to differences between …
[HTML][HTML] Data-driven predictive control for demand side management: Theoretical and experimental results
Demand side management is perceived as a tool to support a secure and reliable energy
system operation amid growing integration of renewable energy resources. However, the …
system operation amid growing integration of renewable energy resources. However, the …
On a stochastic fundamental lemma and its use for data-driven optimal control
Data-driven control based on the fundamental lemma by Willems et al. is frequently
considered for deterministic linear time invariant (LTI) systems subject to measurement …
considered for deterministic linear time invariant (LTI) systems subject to measurement …