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A nonlinear MPC framework is presented that is suitable for dynamical systems with sampling times in the (sub)millisecond range and that allows for an efficient implementation on embedded hardware. The algorithm is based on an augmented…

Optimization and Control · Mathematics 2018-12-10 Tobias Englert , Andreas Völz , Felix Mesmer , Sönke Rhein , Knut Graichen

Model predictive control (MPC) is a powerful framework for optimal control of dynamical systems. However, MPC solvers suffer from a high computational burden that restricts their application to systems with low sampling frequency. This…

Optimization and Control · Mathematics 2025-03-12 Casian Iacob , Hany Abdulsamad , Simo Särkkä

This work investigates the challenge of ensuring safety guarantees in the presence of uncontrollable agents, whose behaviors are stochastic and depend on both their own and the system's states. We present a neural model predictive control…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Shuqi Wang , Mingyang Feng , Yu Chen , Yue Gao , Xiang Yin

Model predictive control (MPC) is a method to formulate the optimal scheduling problem for grid flexibilities in a mathematical manner. The resulting time-constrained optimization problem can be re-solved in each optimization time step…

Systems and Control · Electrical Eng. & Systems 2021-08-20 Steven de Jongh , Sina Steinle , Anna Hlawatsch , Felicitas Mueller , Michael Suriyah , Thomas Leibfried

This paper presents a scenario-based model predictive control (MPC) scheme designed to control an evolving pandemic via non-pharmaceutical intervention (NPIs). The proposed approach combines predictions of possible pandemic evolution to…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Domagoj Herceg , Marco DellOro , Riccardo Bertollo , Fuminari Miura , Paul de Klaver , Valentina Breschi , Dinesh Krishnamoorthy , Mauro Salazar

A Learning Model Predictive Controller (LMPC) for linear system in presented. The proposed controller is an extension of the LMPC [1] and it aims to decrease the computational burden. The control scheme is reference-free and is able to…

Optimization and Control · Mathematics 2019-10-31 Ugo Rosolia , Francesco Borrelli

Path tracking (PT) controllers capable of replicating race driving techniques, such as drifting beyond the limits of handling, have the potential of enhancing active safety in critical conditions. This paper presents a nonlinear model…

Systems and Control · Electrical Eng. & Systems 2024-10-10 Gaetano Tavolo , Pietro Stano , Davide Tavernini , Umberto Montanaro , Manuela Tufo , Giovanni Fiengo , Pietro Perlo , Aldo Sorniotti

Model Predictive Control (MPC) of an unknown system that is modelled by Gaussian Process (GP) techniques is studied in this paper. Using GP, the variances computed during the modelling and inference processes allow us to take model…

Systems and Control · Computer Science 2016-12-06 Gang Cao , Edmund M-K Lai , Fakhrul Alam

Time delays in communication networks are one of the main concerns in deploying robots with computation boards on the edge. This article proposes a multi-stage Nonlinear Model Predictive Control (NMPC) that is capable of handling varying…

Robotics · Computer Science 2022-08-09 Andreas Papadimitriou , Hedyeh Jafari , Sina Sharif Mansouri , George Nikolakopoulos

We present a sample-based Learning Model Predictive Controller (LMPC) for constrained uncertain linear systems subject to bounded additive disturbances. The proposed controller builds on earlier work on LMPC for deterministic systems.…

Systems and Control · Computer Science 2021-01-22 Ugo Rosolia , Francesco Borrelli

The Model Predictive Control (MPC) scheme Funnel MPC enables output tracking of smooth reference signals with prescribed error bounds for nonlinear multi-input multi-output systems with stable internal dynamics. Earlier works achieved the…

Optimization and Control · Mathematics 2024-03-12 Thomas Berger , Dario Dennstädt

This paper presents an approach to mutual collision avoidance based on Nonlinear Model Predictive Control (NMPC) with time-dependent Reciprocal Velocity Constraints (RVCs). Unlike most existing methods, the proposed approach relies solely…

Robotics · Computer Science 2025-12-10 Vit Kratky , Robert Penicka , Parakh M. Gupta , Ondrej Prochazka , Martin Saska

This paper proposes an offline control algorithm, called Recurrent Model Predictive Control (RMPC), to solve large-scale nonlinear finite-horizon optimal control problems. It can be regarded as an explicit solver of traditional Model…

Systems and Control · Electrical Eng. & Systems 2022-04-11 Zhengyu Liu , Jingliang Duan , Wenxuan Wang , Shengbo Eben Li , Yuming Yin , Ziyu Lin , Bo Cheng

This paper addresses the problem of decentralized tube-based nonlinear Model Predictive Control (NMPC) for a class of uncertain nonlinear continuous-time multi-agent systems with additive and bounded disturbance. In particular, the problem…

Systems and Control · Computer Science 2019-09-05 Alexandros Nikou , Dimos V. Dimarogonas

This article proposes a Novel Nonlinear Model Predictive Control (NMPC) for navigation and obstacle avoidance of an Unmanned Aerial Vehicle (UAV). The proposed NMPC formulation allows for a fully parametric obstacle trajectory, while in…

Sample-based learning model predictive control (LMPC) strategies have recently attracted attention due to their desirable theoretical properties and their good empirical performance on robotic tasks. However, prior analysis of LMPC…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Brijen Thananjeyan , Ashwin Balakrishna , Ugo Rosolia , Joseph E. Gonzalez , Aaron Ames , Ken Goldberg

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

Optimization and Control · Mathematics 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

To match the growing demand for bio-methane production, anaerobic digesters need to embrace the co-digestion of different feedstocks; in addition, to improve the techno-economic performance, an optimal and time-varying adaptation of the…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Davide Carecci , Laurent Dewasme , Alessio La Bella , Gianni Ferretti , Alain Vande Wouwer

Objective. Precise control of neural systems is essential to experimental investigations of how the brain controls behavior and holds the potential for therapeutic manipulations to correct aberrant network states. Model predictive control,…

Neurons and Cognition · Quantitative Biology 2024-08-06 Christof Fehrman , C. Daniel Meliza

This paper presents a theoretical overview of a Neural Contraction Metric (NCM): a neural network model of an optimal contraction metric and corresponding differential Lyapunov function, the existence of which is a necessary and sufficient…

Machine Learning · Computer Science 2021-10-05 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques Slotine , Chuchu Fan