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 …
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 …
Combining prior knowledge and data for robust controller design
We present a framework for systematically combining data of an unknown linear time-
invariant system with prior knowledge on the system matrices or on the uncertainty for robust …
invariant system with prior knowledge on the system matrices or on the uncertainty for robust …
[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 …
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 …
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 …
Data-driven control for linear discrete-time delay systems
The increasing ease of obtaining and processing data together with the growth in system
complexity has sparked the interest in moving from conventional model-based control …
complexity has sparked the interest in moving from conventional model-based control …
Provably robust verification of dissipativity properties from data
Dissipativity properties have proven to be very valuable for systems analysis and controller
design. With the rising amount of available data, there has, therefore, been an increasing …
design. With the rising amount of available data, there has, therefore, been an increasing …