An overview of systems-theoretic guarantees in data-driven model predictive control

J Berberich, F Allgöwer - Annual Review of Control, Robotics …, 2024 - annualreviews.org
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 …

[HTML][HTML] Behavioral theory for stochastic systems? A data-driven journey from Willems to Wiener and back again

T Faulwasser, R Ou, G Pan, P Schmitz… - Annual Reviews in …, 2023 - Elsevier
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 …

[HTML][HTML] Handbook of linear data-driven predictive control: Theory, implementation and design

PCN Verheijen, V Breschi, M Lazar - Annual Reviews in Control, 2023 - Elsevier
Data-driven predictive control (DPC) has gained an increased interest as an alternative to
model predictive control in recent years, since it requires less system knowledge for …

Data-driven stochastic output-feedback predictive control: Recursive feasibility through interpolated initial conditions

G Pan, R Ou, T Faulwasser - Learning for Dynamics and …, 2023 - proceedings.mlr.press
This paper investigates data-driven output-feedback predictive control of linear systems
subject to stochastic disturbances. The scheme relies on the recursive solution of a suitable …

Stochastic data-driven predictive control with equivalence to stochastic mpc

R Li, JW Simpson-Porco, SL Smith - arXiv preprint arXiv:2312.15177, 2023 - arxiv.org
We propose a data-driven receding-horizon control method dealing with the chance-
constrained output-tracking problem of unknown stochastic linear time-invariant (LTI) …

Control and safe continual learning of output-constrained nonlinear systems

L Lanza, D Dennstädt, K Worthmann, P Schmitz… - arXiv preprint arXiv …, 2023 - arxiv.org
We propose a novel learning-based tracking controller for nonlinear systems of arbitrary
relative degree. Here, we use sample-and-hold input signals and derive a bound on the …

Data-driven tube-based stochastic predictive control

S Kerz, J Teutsch, T Brüdigam… - IEEE Open Journal …, 2023 - ieeexplore.ieee.org
A powerful result from behavioral systems theory known as the fundamental lemma allows
for predictive control akin to Model Predictive Control (MPC) for linear time-invariant (LTI) …

Distributionally robust stochastic data-driven predictive control with optimized feedback gain

R Li, JW Simpson-Porco, SL Smith - arXiv preprint arXiv:2409.05727, 2024 - arxiv.org
We consider the problem of direct data-driven predictive control for unknown stochastic
linear time-invariant (LTI) systems with partial state observation. Building upon our previous …

On data-driven stochastic output-feedback predictive control

G Pan, R Ou, T Faulwasser - IEEE Transactions on Automatic …, 2024 - ieeexplore.ieee.org
The fundamental lemma by Jan C. Willems and co-authors enables the representation of all
input-output trajectories of a linear time-invariant system by measured input-output data …

Safe data-driven reference tracking with prescribed performance

P Schmitz, L Lanza… - 2023 27th International …, 2023 - ieeexplore.ieee.org
We study output reference tracking for unknown continuous-time systems with arbitrary
relative degree. The control objective is to keep the tracking error within predefined time …