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We consider data-based predictive control based on behavioral systems theory. In the linear setting this means that a system is described as a subspace of trajectories, and predictive control can be formulated using a projection onto the…

Systems and Control · Electrical Eng. & Systems 2026-04-02 András Sasfi , Jaap Eising , Florian Dörfler

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

In this paper, we propose a novel data-driven predictive control approach for systems subject to time-domain constraints. The approach combines the strengths of H-infinity control for rejecting disturbances and MPC for handling constraints.…

Optimization and Control · Mathematics 2024-03-25 Nan Li , Ilya Kolmanovsky , Hong Chen

Today, the optimal performance of existing noise-suppression algorithms, both data-driven and those based on classic statistical methods, is range bound to specific levels of instantaneous input signal-to-noise ratios. In this paper, we…

Machine Learning · Computer Science 2018-07-30 Rasool Fakoor , Xiaodong He , Ivan Tashev , Shuayb Zarar

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

Data-enabled predictive control (DeePC) has recently emerged as a powerful data-driven approach for efficient system controls with constraints handling capabilities. It performs optimal controls by directly harnessing input-output (I/O)…

Robotics · Computer Science 2025-04-11 Amin Vahidi-Moghaddam , Keyi Zhu , Kaixiang Zhang , Ziyou Song , Zhaojian Li

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

We develop an online data-enabled predictive (ODeePC) control method for optimal control of unknown systems, building on the recently proposed DeePC [1]. Our proposed ODeePC method leverages a primal-dual algorithm with real-time…

Optimization and Control · Mathematics 2020-11-20 Stefanos Baros , Chin-Yao Chang , Gabriel E. Colon-Reyes , Andrey Bernstein

Data-driven control that circumvents the process of system identification by providing optimal control inputs directly from system data has attracted renewed attention in recent years. In this paper, we focus on understanding the effects of…

Systems and Control · Electrical Eng. & Systems 2021-05-12 Linbin Huang , Jianzhe Zhen , John Lygeros , Florian Dörfler

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

Model predictive control (MPC) has been successful in applications involving the control of complex physical systems. This class of controllers leverages the information provided by an approximate model of the system's dynamics to simulate…

Machine Learning · Computer Science 2020-10-09 Rel Guzman , Rafael Oliveira , Fabio Ramos

Model predictive control is a well established control technology for trajectory tracking. Its use requires the availability of an accurate model of the plant, but obtaining such a model is often time consuming and costly. Data-Enabled…

Optimization and Control · Mathematics 2025-10-01 Margarita A. Guerrero , Braghadeesh Lakshminarayanan , Cristian R. Rojas

Fast charging of lithium-ion batteries has gained extensive research interests, but most of existing methods are either based on simple rule-based charging profiles or require explicit battery models that are non-trivial to identify…

Systems and Control · Electrical Eng. & Systems 2023-04-18 Kaixiang Zhang , Kaian Chen , Xinfan Lin , Yusheng Zheng , Xunyun Yin , Xiaosong Hu , Ziyou Song , Zhaojian Li

In this paper, we propose a convex data-based economic predictive control method within the framework of data-enabled predictive control (DeePC). Specifically, we use a neural network to transform the system output into a new state space,…

Systems and Control · Electrical Eng. & Systems 2025-08-27 Mingxue Yan , Xuewen Zhang , Kaixiang Zhang , Zhaojian Li , Xunyuan Yin

This paper proposes an Adaptive Learning Model Predictive Control strategy for uncertain constrained linear systems performing iterative tasks. The additive uncertainty is modeled as the sum of a bounded process noise and an unknown…

Systems and Control · Computer Science 2018-04-27 Monimoy Bujarbaruah , Xiaojing Zhang , Ugo Rosolia , Francesco Borrelli

This paper deals with the problem of formulating an adaptive Model Predictive Control strategy for constrained uncertain systems. We consider a linear system, in presence of bounded time varying additive uncertainty. The uncertainty is…

Systems and Control · Electrical Eng. & Systems 2021-04-13 Monimoy Bujarbaruah , Xiaojing Zhang , Marko Tanaskovic , Francesco Borrelli

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

We propose a robust and efficient data-driven predictive control (eDDPC) scheme which is more sample efficient (requires less offline data) compared to existing schemes, and is also computationally efficient. This is done by leveraging an…

Systems and Control · Electrical Eng. & Systems 2024-09-30 Mohammad Alsalti , Manuel Barkey , Victor G. Lopez , Matthias A. Müller

Data-driven control methods such as data-enabled predictive control (DeePC) have shown strong potential in efficient control of soft robots without explicit parametric models. However, in object manipulation tasks, unknown external payloads…

Robotics · Computer Science 2025-10-07 Huanqing Wang , Kaixiang Zhang , Kyungjoon Lee , Yu Mei , Vaibhav Srivastava , Jun Sheng , Ziyou Song , Zhaojian Li

This paper studies regularized data-enabled predictive control (DeePC) within a nonlinear framework and its relationship to subspace predictive control (SPC). The $\Pi$-regularization is extended to general basis functions and it is shown…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Thomas O. de Jong , Mircea Lazar , Siep Weiland , Florian Dörfler