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 …

[PDF][PDF] Data-driven control based on the behavioral approach: From theory to applications in power systems

I Markovsky, L Huang, F Dörfler - IEEE Control Systems …, 2023 - imarkovs.github.io
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 …

Adaptive infinite impulse response system identification using an enhanced golden jackal optimization

J Zhang, G Zhang, M Kong, T Zhang - The Journal of Supercomputing, 2023 - Springer
Golden jackal optimization (GJO) is inspired by the cooperative attacking behavior of golden
jackals and mainly simulates searching for prey, stalking and enclosing prey, and pouncing …

Beyond persistent excitation: Online experiment design for data-driven modeling and control

HJ van Waarde - IEEE Control Systems Letters, 2021 - ieeexplore.ieee.org
This letter presents a new experiment design method for data-driven modeling and control.
The idea is to select inputs online (using past input/output data), leading to desirable rank …

State space models vs. multi-step predictors in predictive control: Are state space models complicating safe data-driven designs?

J Köhler, KP Wabersich, J Berberich… - 2022 IEEE 61st …, 2022 - ieeexplore.ieee.org
This paper contrasts recursive state space models and direct multi-step predictors for linear
predictive control. We provide a tutorial exposition for both model structures to solve the …

Minimum input design for direct data-driven property identification of unknown linear systems

S Kang, K You - Automatica, 2023 - Elsevier
In a direct data-driven approach, this paper studies the property identification (ID) problem to
analyze whether an unknown linear system has a property of interest, eg, stabilizability and …

Near-optimal design of safe output-feedback controllers from noisy data

L Furieri, B Guo, A Martin… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
As we transition toward the deployment of data-driven controllers for black-box
cyberphysical systems, complying with hard safety constraints becomes a primary concern …

Willems' fundamental lemma based on second-order moments

M Ferizbegovic, H Hjalmarsson… - 2021 60th IEEE …, 2021 - ieeexplore.ieee.org
In this paper, we propose variations of Willems' fundamental lemma that utilize second-order
moments such as correlation functions in the time domain and power spectra in the …

Design of input for data-driven simulation with Hankel and Page matrices

A Iannelli, M Yin, RS Smith - 2021 60th IEEE Conference on …, 2021 - ieeexplore.ieee.org
The paper deals with the problem of designing informative input trajectories for data-driven
simulation. First, the excitation requirements in the case of noise-free data are discussed …

A behavioral input-output parametrization of control policies with suboptimality guarantees

L Furieri, B Guo, A Martin… - 2021 60th IEEE …, 2021 - ieeexplore.ieee.org
Recent work in data-driven control has revived behavioral theory to perform a variety of
complex control tasks, by directly plugging libraries of past input-output trajectories into …