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This work presents DMPC (Data-and Model-Driven Predictive Control) to solve control problems in which some of the constraints or parts of the objective function are known, while others are entirely unknown to the controller. It is assumed…

Systems and Control · Electrical Eng. & Systems 2021-03-02 Hassan Jafarzadeh , Cody Fleming

In this article, we introduce an adaptive online model update algorithm designed for predictive control applications in networked systems, particularly focusing on power distribution systems. Unlike traditional methods that depend on…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Vivek Khatana , Chin-Yao Chang , Wenbo Wang

We present a data-driven control framework for partial differential equations (PDEs). Our approach integrates Time-Integrated Deep Operator Networks (TI-DeepONets) as differentiable PDE surrogate models within the Differentiable Predictive…

Computational Engineering, Finance, and Science · Computer Science 2026-04-16 Dibakar Roy Sarkar , Ján Drgoňa , Somdatta Goswami

For the application of MPC design in on-line regulation or tracking control problems, several studies have attempted to develop an accurate model, and realize adequate uncertainty description of linear or non-linear plants of the processes.…

Optimization and Control · Mathematics 2019-04-03 Yuanqiang Zhou , Dewei Li , Yugeng Xi , Zhongxue Gan

The Deferred Correction (DeC) is an iterative procedure, characterized by increasing accuracy at each iteration, which can be used to design numerical methods for systems of ODEs. The main advantage of such framework is the automatic way of…

Numerical Analysis · Mathematics 2023-11-09 Lorenzo Micalizzi , Davide Torlo

Data-driven predictive control approaches, in general, and Data-enabled Predictive Control (DeePC), in particular, exploit matrices of raw input/output trajectories for control design. These data are typically gathered only from the system…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Gert Vankan , Valentina Breschi , Simone Formentin

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

Dynamic Mode Decomposition (DMD) is a data-driven technique to identify a low dimensional linear time invariant dynamics underlying high-dimensional data. For systems in which such underlying low-dimensional dynamics is time-varying, a…

Signal Processing · Electrical Eng. & Systems 2020-04-09 Mustaffa Alfatlawi , Vaibhav Srivastava

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

Cybergenetic gene expression control in bacteria enables applications in engineering biology, drug development, and biomanufacturing. AI-based controllers offer new possibilities for real-time, single-cell-level regulation but typically…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Liam Perreault , Idris Kempf , Kirill Sechkar , Jean-Baptiste Lugagne , Antonis Papachristodoulou

Recently, data-enabled predictive control (DeePC) schemes based on Willems' fundamental lemma have attracted considerable attention. At the core are computations using Hankel-like matrices and their connection to the concept of persistency…

Optimization and Control · Mathematics 2024-02-21 Philipp Schmitz , Manuel Schaller , Matthias Voigt , Karl Worthmann

Mitigating the energy use in buildings, together with satisfaction of comfort requirements are the main objectives of efficient building control systems. Augmenting building energy systems with batteries can improve the energy use of a…

Systems and Control · Electrical Eng. & Systems 2023-07-06 Varsha Behrunani , Marta Zagorowska , Mathias Hudoba de Badyn , Francesco Ricca , Philipp Heer , John Lygeros

Based on the extension of the behavioral theory and the Fundamental Lemma for Linear Parameter-Varying (LPV) systems, this paper introduces a Data-driven Predictive Control (DPC) scheme capable to ensure reference tracking and satisfaction…

Systems and Control · Electrical Eng. & Systems 2022-01-25 Chris Verhoek , Hossam S. Abbas , Roland Tóth , Sofie Haesaert

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

Data-driven predictive control promises model-free wave-dampening strategies for Connected and Autonomous Vehicles (CAVs) in mixed traffic flow. However, its performance relies on data quality, which suffers from unknown noise and…

Systems and Control · Electrical Eng. & Systems 2024-10-03 Shuai Li , Chaoyi Chen , Haotian Zheng , Jiawei Wang , Qing Xu , Keqiang Li

This paper proposes a novel online data-driven adaptive control for unknown linear time-varying systems. Initialized with an empirical feedback gain, the algorithm periodically updates this gain based on the data collected over a short time…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Shenyu Liu , Kaiwen Chen , Jaap Eising

This paper presents a distributed data-driven predictive control (DDPC) approach using the behavioral framework. It aims to design a network of controllers for an interconnected system with linear time-invariant (LTI) subsystems such that a…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Yitao Yan , Jie Bao , Biao Huang

Model predictive control (MPC) is a powerful technique for solving dynamic control tasks. In this paper, we show that there exists a close connection between MPC and online learning, an abstract theoretical framework for analyzing online…

Robotics · Computer Science 2019-10-10 Nolan Wagener , Ching-An Cheng , Jacob Sacks , Byron Boots

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

Data-driven predictive control methods can provide the constraint handling and optimization of model predictive control (MPC) without first-principles models. Two such methods differ in how they replace the model: Data-enabled predictive…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Branislav Daráš , Patrik Valábek , Martin Klaučo