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We consider the problem of optimal trajectory tracking for unknown systems. A novel data-enabled predictive control (DeePC) algorithm is presented that computes optimal and safe control policies using real-time feedback driving the unknown…

Optimization and Control · Mathematics 2019-03-19 Jeremy Coulson , John Lygeros , Florian Dörfler

Direct data-driven control has attracted substantial interest since it enables optimization-based control without the need for a parametric model. This paper presents a new Instrumental Variable~(IV) approach to Data-enabled Predictive…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Jan-Willem van Wingerden , Sebastiaan Mulders , Rogier Dinkla , Tom Oomen , Michel Verhaegen

Behavioral data-enabled control approaches typically assume data-generating systems of linear dynamics. This may result in false generalization if the newly designed closed-loop system results in input-output distributional shifts beyond…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Mohammad Ramadan , Evan Toler , Mihai Anitescu

This paper proposes an explainability concept for direct data-driven linear quadratic regulation (LQR) with quadratic regularization. Our perspective follows the parametric effect of regularization, an analysis approach that translates…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Manuel Klädtke , Feiran Zhao , Florian Dörfler , Moritz Schulze Darup

Many systems are subject to periodic disturbances and exhibit repetitive behaviour. Model-based repetitive control employs knowledge of such periodicity to attenuate periodic disturbances and has seen a wide range of successful industrial…

Systems and Control · Electrical Eng. & Systems 2024-08-28 Rogier Dinkla , Tom Oomen , Sebastiaan Mulders , Jan-Willem van Wingerden

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

This paper studies the finite-horizon linear quadratic regulation problem where the dynamics of the system are assumed to be unknown and the state is accessible. Information on the system is given by a finite set of input-state data, where…

Systems and Control · Electrical Eng. & Systems 2020-08-13 Monica Rotulo , Claudio De Persis , Pietro Tesi

This paper presents a robust and kernelized data-enabled predictive control (RoKDeePC) algorithm to perform model-free optimal control for nonlinear systems using only input and output data. The algorithm combines robust predictive control…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Linbin Huang , John Lygeros , Florian Dörfler

As the benchmark of data-driven control methods, the linear quadratic regulator (LQR) problem has gained significant attention. A growing trend is direct LQR design, which finds the optimal LQR gain directly from raw data and bypassing…

Systems and Control · Electrical Eng. & Systems 2025-03-06 Feiran Zhao , Alessandro Chiuso , Florian Dörfler

The Error-in-Variables model of system identification/control involves nontrivial input and measurement corruption of observed data, resulting in generically nonconvex optimization problems. This paper performs full-state-feedback…

Optimization and Control · Mathematics 2024-05-21 Jared Miller , Tianyu Dai , Mario Sznaier

Data-enabled predictive control (DeePC) has recently attracted attention as a promising approach for controlling systems directly from raw data, without requiring an explicit identification step. However, DeePC has not yet been extended to…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Gianluca Giacomelli , Victor G. Lopez , Simone Formentin , Matthias A. Müller , Valentina Breschi

This paper considers the extension of data-enabled predictive control (DeePC) to nonlinear systems via general basis functions. Firstly, we formulate a basis functions DeePC behavioral predictor and we identify necessary and sufficient…

Systems and Control · Electrical Eng. & Systems 2023-11-10 Mircea Lazar

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

The linear quadratic regulator (LQR) problem is a cornerstone of automatic control, and it has been widely studied in the data-driven setting. The various data-driven approaches can be classified as indirect (i.e., based on an identified…

Optimization and Control · Mathematics 2021-09-15 Florian Dörfler , Pietro Tesi , Claudio De Persis

In the field of model predictive control, Data-enabled Predictive Control (DeePC) offers direct predictive control, bypassing traditional modeling. However, challenges emerge with increased computational demand due to recursive data…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Jicheng Shi , Yingzhao Lian , Colin N. Jones

This work introduces the Data-Enabled Predictive iteRative Control (DeePRC) algorithm, a direct data-driven approach for iterative LTI systems. The DeePRC learns from previous iterations to improve its performance and achieves the optimal…

Systems and Control · Electrical Eng. & Systems 2024-05-31 Kai Zhang , Riccardo Zuliani , Efe C. Balta , John Lygeros

This paper proposes efficient policy iteration and value iteration algorithms for the continuous-time linear quadratic regulator problem with unmeasurable states and unknown system dynamics, from the perspective of direct data-driven…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Jun Xie , Yuan-Hua Ni , Yiqin Yang , Bo Xu

The real-time operation of open water systems is essential for ensuring operational safety, satisfying operational requirements, and optimizing energy usage. However, existing rule-based control strategies rely heavily on human experience,…

Systems and Control · Electrical Eng. & Systems 2026-01-08 Xiaoqiao Chen , Xuewen Zhang , Minghao Han , Adrian Wing-Keung Law , Xunyuan Yin

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

Data-enabled predictive control (DeePC) has garnered significant attention for its ability to achieve safe, data-driven optimal control without relying on explicit system models. Traditional DeePC methods use pre-collected input/output…

Systems and Control · Electrical Eng. & Systems 2024-07-24 Amin Vahidi-Moghaddam , Kaixiang Zhang , Xunyuan Yin , Vaibhav Srivastava , Zhaojian Li