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Robust model predictive control (MPC) is a well-known control technique for model-based control with constraints and uncertainties. In classic robust tube-based MPC approaches, an open-loop control sequence is computed via periodically…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Xinglong Zhang , Jiahang Liu , Xin Xu , Shuyou Yu , Hong Chen

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

Solving the explicit Model Predictive Control (MPC) problem requires enumerating all critical regions and their associated feedback laws, a task that scales exponentially with the system dimension and the prediction horizon, as well. When…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Stefan S. Mihai , Florin Stoican , Martin Monnigmann , Bogdan D. Ciubotaru

This paper presents a new approach to solve linear and nonlinear model predictive control (MPC) problems that requires small memory footprint and throughput and is particularly suitable when the model and/or controller parameters change at…

Optimization and Control · Mathematics 2021-03-25 Nilay Saraf , Alberto Bemporad

We introduce Embed to Control (E2C), a method for model learning and control of non-linear dynamical systems from raw pixel images. E2C consists of a deep generative model, belonging to the family of variational autoencoders, that learns to…

Machine Learning · Computer Science 2015-11-23 Manuel Watter , Jost Tobias Springenberg , Joschka Boedecker , Martin Riedmiller

In this paper, we present Quantum-Inspired Model Predictive Control (QIMPC), an approach that uses Variational Quantum Circuits (VQCs) to learn control polices in MPC problems. The viability of the approach is tested in five experiments: A…

Quantum Physics · Physics 2025-04-18 Muhammad Al-Zafar Khan , Jamal Al-Karaki

Data-Enabled Predictive Control (DeePC) bypasses the need for system identification by directly leveraging raw data to formulate optimal control policies. However, the size of the optimization problem in DeePC grows linearly with respect to…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Yihan Zhou , Yiwen Lu , Zishuo Li , Jiaqi Yan , Yilin Mo

Model predictive control (MPC) is capable of controlling nonlinear systems with guaranteed constraint satisfaction and stability. However, MPC requires solving optimization problems online periodically, which often exceeds the local…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Alexander Gräfe , Sebastian Trimpe

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

Approximating nonlinear systems as linear ones is a common workaround to apply control tools tailored for linear systems. This motivates our present work where we developed a data-driven model predictive controller (MPC) based on the…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Adriano del Río , Christoph Stoeffler

We present an approach to identify concise equations from data using a shallow neural network approach. In contrast to ordinary black-box regression, this approach allows understanding functional relations and generalizing them from…

Machine Learning · Computer Science 2018-06-20 Subham S. Sahoo , Christoph H. Lampert , Georg Martius

A learning method is proposed for Koopman operator-based models with the goal of improving closed-loop control behavior. A neural network-based approach is used to discover a space of observables in which nonlinear dynamics is linearly…

Optimization and Control · Mathematics 2023-03-23 Daisuke Uchida , Karthik Duraisamy

Model Predictive Control (MPC) method is a class of advanced control techniques most widely applied in industry. The major advantages of the MPC are its straightforward procedure which can be applied for both linear and nonlinear system.…

Systems and Control · Computer Science 2017-04-17 Mohammad Amin , Marta Molinas

Reinforcement Learning (RL) is a powerful tool to perform data-driven optimal control without relying on a model of the system. However, RL struggles to provide hard guarantees on the behavior of the resulting control scheme. In contrast,…

Systems and Control · Computer Science 2020-09-18 Sébastien Gros , Mario Zanon

Human and animal brains perform planning to enable complex movements and behaviors. This process can be effectively described using model predictive control (MPC); that is, brains can be thought of as implementing some version of MPC. How…

Systems and Control · Electrical Eng. & Systems 2026-03-30 Jaidev Gill , Jing Shuang Li

Tight performance specifications in combination with operational constraints make model predictive control (MPC) the method of choice in various industries. As the performance of an MPC controller depends on a sufficiently accurate…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Kim P. Wabersich , Melanie N. Zeilinger

This paper is about a real-time model predictive control (MPC) algorithm for a particular class of model based controllers, whose objective consists of a nominal tracking objective and an additional learning objective. Here, the…

Optimization and Control · Mathematics 2016-11-09 Xuhui Feng , Boris Houska

Reinforcement learning in partially observed Markov decision processes (POMDPs) faces two challenges. (i) It often takes the full history to predict the future, which induces a sample complexity that scales exponentially with the horizon.…

Machine Learning · Computer Science 2024-04-02 Lingxiao Wang , Qi Cai , Zhuoran Yang , Zhaoran Wang

As robotic systems move from highly structured environments to open worlds, incorporating uncertainty from dynamics learning or state estimation into the control pipeline is essential for robust performance. In this paper we present a…

Systems and Control · Electrical Eng. & Systems 2021-09-14 Robert Dyro , James Harrison , Apoorva Sharma , Marco Pavone

In this paper, we deal with data-driven predictive control of linear time-invariant (LTI) systems. Specifically, we show for the first time how explicit predictive laws can be learnt directly from data, without needing to identify the…

Systems and Control · Electrical Eng. & Systems 2021-09-14 Andrea Sassella , Valentina Breschi , Simone Formentin