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 …

Fusion of machine learning and MPC under uncertainty: What advances are on the horizon?

A Mesbah, KP Wabersich, AP Schoellig… - 2022 American …, 2022 - ieeexplore.ieee.org
This paper provides an overview of the recent research efforts on the integration of machine
learning and model predictive control under uncertainty. The paper is organized as a …

Adaptive robust data-driven building control via bilevel reformulation: An experimental result

Y Lian, J Shi, M Koch, CN Jones - IEEE Transactions on Control …, 2023 - ieeexplore.ieee.org
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 …

A matrix Finsler's lemma with applications to data-driven control

HJ van Waarde, MK Camlibel - 2021 60th IEEE Conference on …, 2021 - ieeexplore.ieee.org
In a recent paper it was shown how a matrix S-lemma can be applied to construct controllers
from noisy data. The current paper complements these results by proving a matrix version of …

Online stochastic optimization for unknown linear systems: Data-driven controller synthesis and analysis

G Bianchin, M Vaquero, J Cortes… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This paper proposes a data-driven control framework to regulate an unknown stochastic
linear dynamical system to the solution of a stochastic convex optimization problem. Despite …

Data-driven unknown-input observers and state estimation

MS Turan, G Ferrari-Trecate - IEEE Control Systems Letters, 2021 - ieeexplore.ieee.org
Unknown-input observers (UIOs) allow for estimation of the states of an LTI system without
knowledge of all inputs. In this letter, we provide a novel data-driven UIO based on …

Data-driven synthesis of optimization-based controllers for regulation of unknown linear systems

G Bianchin, M Vaquero, J Cortés… - 2021 60th IEEE …, 2021 - ieeexplore.ieee.org
This paper proposes a data-driven framework to solve time-varying optimization problems
associated with unknown linear dynamical systems. Making online control decisions to …

Data-driven exact pole placement for linear systems

G Bianchin - 2023 62nd IEEE Conference on Decision and …, 2023 - ieeexplore.ieee.org
The exact pole placement problem concerns computing a static feedback law for a linear
dynamical system that will assign its poles at a set of pre-specified locations. This is a classic …

Data-driven control of unknown linear systems via quantized feedback

F Zhao, X Li, K You - Learning for Dynamics and Control …, 2022 - proceedings.mlr.press
Control using quantized feedback is a fundamental approach to system synthesis with
limited communication capacity. In this paper, we address the stabilization problem for …

Data-driven robust control using prediction error bounds based on perturbation analysis

B Guo, Y Jiang, CN Jones, G Ferrari-Trecate - arXiv preprint arXiv …, 2023 - arxiv.org
For linear systems, many data-driven control methods rely on the behavioral framework,
using historical data of the system to predict the future trajectories. However, measurement …