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Recently proposed data-driven predictive control schemes for LTI systems use non-parametric representations based on the image of a Hankel matrix of previously collected, persistently exciting, input-output data. Persistence of excitation…

Systems and Control · Electrical Eng. & Systems 2024-03-07 Mohammad Alsalti , Manuel Barkey , Victor G. Lopez , Matthias A. Müller

We propose a robust data-driven model predictive control (MPC) scheme to control linear time-invariant (LTI) systems. The scheme uses an implicit model description based on behavioral systems theory and past measured trajectories. In…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

We introduce a general framework for robust data-enabled predictive control (DeePC) for linear time-invariant (LTI) systems. The proposed framework enables us to obtain model-free optimal control for LTI systems based on noisy input/output…

Systems and Control · Electrical Eng. & Systems 2021-05-18 Linbin Huang , Jianzhe Zhen , John Lygeros , Florian Dörfler

In this paper, we provide a theoretical analysis of closed-loop properties of a simple data-driven model predictive control (MPC) scheme. The formulation does not involve any terminal ingredients, thus allowing for a simple implementation…

Optimization and Control · Mathematics 2024-12-04 Joscha Bongard , Julian Berberich , Johannes Köhler , Frank Allgöwer

We provide a comprehensive review and practical implementation of a recently developed model predictive control (MPC) framework for controlling unknown systems using only measured data and no explicit model knowledge. Our approach relies on…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

We study the problem of finite-time constrained optimal control of unknown stochastic linear time-invariant systems, which is the key ingredient of a predictive control algorithm -- albeit typically having access to a model. We propose a…

Optimization and Control · Mathematics 2021-07-22 Jeremy Coulson , John Lygeros , Florian Dörfler

We present a robust data-driven control scheme for an unknown linear system model with bounded process and measurement noise. Instead of depending on a system model in traditional predictive control, a controller utilizing data-driven…

Systems and Control · Electrical Eng. & Systems 2022-07-14 Amr Alanwar , Yvonne Stürz , Karl Henrik Johansson

Data-Driven Predictive Control (DDPC) has been recently proposed as an effective alternative to traditional Model Predictive Control (MPC), in that the same constrained optimization problem can be addressed without the need to explicitly…

Systems and Control · Electrical Eng. & Systems 2025-05-14 Valentina Breschi , Marco Fabris , Simone Formentin , Alessandro Chiuso

In this paper, we study a data-enabled predictive control (DeePC) algorithm applied to unknown stochastic linear time-invariant systems. The algorithm uses noise-corrupted input/output data to predict future trajectories and compute optimal…

Optimization and Control · Mathematics 2019-11-04 Jeremy Coulson , John Lygeros , Florian Dörfler

Data-driven model predictive control (DD-MPC) based on Willems' Fundamental Lemma has received much attention in recent years, allowing to control systems directly based on an implicit data-dependent system description. The literature…

Systems and Control · Electrical Eng. & Systems 2024-12-04 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Data-driven controllers design is an important research problem, in particular when data is corrupted by the noise. In this paper, we propose a data-driven min-max model predictive control (MPC) scheme using noisy input-state data for…

Systems and Control · Electrical Eng. & Systems 2025-01-31 Yifan Xie , Julian Berberich , Frank Allgöwer

We consider the problem of data-driven predictive control for an unknown discrete-time linear time-periodic (LTP) system of known period. Our proposed strategy generalizes both Data-enabled Predictive Control (DeePC) and Subspace Predictive…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Ruiqi Li , John W. Simpson-Porco , Stephen L. Smith

Data-enabled predictive control (DeePC) has emerged as a powerful technique to control complex systems without the need for extensive modeling efforts. However, relying solely on offline collected data trajectories to represent the system…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Sebastian Zieglmeier , Mathias Hudoba de Badyn , Narada D. Warakagoda , Thomas R. Krogstad , Paal Engelstad

We propose a purely data-driven model predictive control (MPC) scheme to control unknown linear time-invariant systems with guarantees on stability and constraint satisfaction in the presence of noisy data. The scheme predicts future…

Systems and Control · Electrical Eng. & Systems 2021-03-25 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Direct data-driven control methods are known to be vulnerable to uncertainty in stochastic systems. In this paper, we propose a new robust data-driven predictive control (DDPC) framework. By analyzing non-unique solutions to behavioral…

Optimization and Control · Mathematics 2026-04-23 Yibo Wang , Qingyuan Liu , Chao Shang

This work proposes a robust data-driven tube-based zonotopic predictive control (TZPC) approach for discrete-time linear systems, designed to ensure stability and recursive feasibility in the presence of bounded noise. The proposed approach…

Systems and Control · Electrical Eng. & Systems 2025-09-17 Mahsa Farjadnia , Angela Fontan , Amr Alanwar , Marco Molinari , Karl Henrik Johansson

In this work, we exploit an offline-sampling based strategy for the constrained data-driven predictive control of an unknown linear system subject to random measurement noise. The strategy uses only past measured, potentially noisy data in…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Johannes Teutsch , Sebastian Kerz , Tim Brüdigam , Dirk Wollherr , Marion Leibold

We present a data-driven nonlinear predictive control approach for the class of discrete-time multi-input multi-output feedback linearizable nonlinear systems. The scheme uses a non-parametric predictive model based only on input and noisy…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Mohammad Alsalti , Victor G. Lopez , Julian Berberich , Frank Allgöwer , Matthias A. Müller

Factors like improved data availability and increasing system complexity have sparked interest in data-driven predictive control (DDPC) methods like Data-enabled Predictive Control (DeePC). However, closed-loop identification bias arises in…

Systems and Control · Electrical Eng. & Systems 2024-02-23 Rogier Dinkla , Sebastiaan Mulders , Tom Oomen , Jan-Willem van Wingerden

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) systems with unknown dynamics purely from data. While most…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Sebastian Kerz , Johannes Teutsch , Tim Brüdigam , Dirk Wollherr , Marion Leibold
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