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We present differentiable predictive control (DPC) as a deep learning-based alternative to the explicit model predictive control (MPC) for unknown nonlinear systems. In the DPC framework, a neural state-space model is learned from…

Systems and Control · Electrical Eng. & Systems 2021-07-27 Jan Drgona , Karol Kis , Aaron Tuor , Draguna Vrabie , Martin Klauco

This paper considers the design of nonlinear data-enabled predictive control (DeePC) using kernel functions. Compared with existing methods that use kernels to parameterize multi-step predictors for nonlinear DeePC, we adopt a novel,…

Optimization and Control · Mathematics 2025-01-30 Thomas de Jong , Siep Weiland , Mircea Lazar

This paper presents a Gain-Scheduled Data-Enabled Predictive Control (GS-DeePC) framework for nonlinear systems based on multiple locally linear data representations. Instead of relying on a single global Hankel matrix, the operating range…

Systems and Control · Electrical Eng. & Systems 2026-02-27 Sebastian Zieglmeier , Mathias Hudoba de Badyn , Narada D. Warakagoda , Thomas R. Krogstad , Paal Engelstad

Model Predictive Control (MPC) is a powerful method for complex system regulation, but its reliance on an accurate model poses many limitations in real-world applications. Data-driven predictive control (DDPC) aims at overcoming this…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Alessandro Chiuso , Marco Fabris , Valentina Breschi , Simone Formentin

We present differentiable predictive control (DPC), a method for learning constrained neural control policies for linear systems with probabilistic performance guarantees. We employ automatic differentiation to obtain direct policy…

Systems and Control · Electrical Eng. & Systems 2022-01-28 Jan Drgona , Aaron Tuor , Draguna Vrabie

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

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

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

The Willems' fundamental lemma, which characterizes linear time-invariant (LTI) systems using input and output trajectories, has found many successful applications. Combining this with receding horizon control leads to a popular…

Optimization and Control · Mathematics 2023-12-27 Xu Shang , Yang Zheng

Model Predictive Control (MPC) is effective at generating safe control strategies in constrained scenarios, at the cost of computational complexity. This is especially the case in robots that require high sampling rates and have limited…

When manipulating a novel object with complex dynamics, a state representation is not always available, for example for deformable objects. Learning both a representation and dynamics from observations requires large amounts of data. We…

Robotics · Computer Science 2021-02-18 Thomas Power , Dmitry Berenson

This paper introduces Data-enabled Predictive Control Hyperparameter Tuning via Differentiable Optimization (DeePC-Hunt), a backpropagation-based method for automatic hyperparameter tuning of the DeePC algorithm. The necessity for such a…

Optimization and Control · Mathematics 2025-05-30 Michael Cummins , Alberto Padoan , Keith Moffat , Florian Dorfler , John Lygeros

This paper quantifies and addresses the bias of subspace-based Data-Driven Predictive Control (DDPC) for linear, time-invariant (LTI) systems. The primary focus is the bias that arises when the training data is gathered with a feedback…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Keith Moffat , Florian Dörfler , Alessandro Chiuso

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

In this letter, we propose a simple yet effective singular value decomposition (SVD) based strategy to reduce the optimization problem dimension in data-enabled predictive control (DeePC). Specifically, in the case of linear time-invariant…

Systems and Control · Electrical Eng. & Systems 2023-10-09 Kaixiang Zhang , Yang Zheng , Chao Shang , Zhaojian Li

Data-Driven Predictive Control (DPC) optimizes system behavior directly from measured trajectories without requiring an explicit model. However, its computational cost scales with dataset size, limiting real-time applicability to nonlinear…

Robotics · Computer Science 2025-11-18 Julius Beerwerth , Bassam Alrifaee

In the realm of control systems, model predictive control (MPC) has exhibited remarkable potential; however, its reliance on accurate models and substantial computational resources has hindered its broader application, especially within…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Amin Vahidi-Moghaddam , Kaian Chen , Kaixiang Zhang , Zhaojian Li , Yan Wang , Kai Wu

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 design a two-component controller to achieve reference tracking with output constraints - exemplified on systems of relative degree two. One component is a data-driven or learning-based predictive controller, which uses data samples to…

Optimization and Control · Mathematics 2025-05-27 Lea Bold , Lukas Lanza , Karl Worthmann

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