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In this paper, we present a nonlinear model predictive control (NMPC) algorithm for systems modeled by semi-explicit stochastic differential-algebraic equations (DAEs) of index 1. The NMPC combines a continuous-discrete extended Kalman…

Optimization and Control · Mathematics 2024-07-29 Anders Hilmar Damm Christensen , Nicola Cantisani , John Bagterp Jørgensen

Re-planning in legged locomotion is crucial to track the desired user velocity while adapting to the terrain and rejecting external disturbances. In this work, we propose and test in experiments a real-time Nonlinear Model Predictive…

Nonlinear model predictive control (NMPC) is a popular strategy for solving motion planning problems, including obstacle avoidance constraints, in autonomous driving applications. Non-smooth obstacle shapes, such as rectangles, introduce…

Systems and Control · Electrical Eng. & Systems 2024-03-05 Rudolf Reiter , Katrin Baumgärtner , Rien Quirynen , Moritz Diehl

This paper proposes a Nonlinear Model-Predictive Control (NMPC) method capable of finding and converging to energy-efficient regular oscillations, which require no control action to be sustained. The approach builds up on the recently…

Nonlinear Model Predictive Control (NMPC) is widely used for controlling high-speed robotic systems such as quadrotors. However, its significant computational demands often hinder real-time feasibility and reliability, particularly in…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Saber Omidi

Reinforcement learning (RL) can be used to tune data-driven (economic) nonlinear model predictive controllers ((e)NMPCs) for optimal performance in a specific control task by optimizing the dynamic model or parameters in the policy's…

Machine Learning · Computer Science 2025-05-14 Daniel Mayfrank , Mehmet Velioglu , Alexander Mitsos , Manuel Dahmen

Designing a model predictive control (MPC) scheme that enables a mobile robot to safely navigate through an obstacle-filled environment is a complicated yet essential task in robotics. In this technical report, safety refers to ensuring…

Robotics · Computer Science 2025-08-12 Dennis Benders , Laura Ferranti , Johannes Köhler

We address the problem of learning a neural Koopman operator model that provides dissipativity guarantees for an unknown nonlinear dynamical system that is known to be dissipative. We propose a two-stage approach. First, we learn an…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Yuezhu Xu , S. Sivaranjani , Vijay Gupta

We present a methodology to learn explicit Model Predictive Control (eMPC) laws from sample data points with tunable complexity. The learning process is cast in a special Neural Network setting where the coefficients of two linear layers…

Systems and Control · Electrical Eng. & Systems 2019-11-26 E. T. Maddalena , C. G. da S. Moraes , G. Waltrich , C. N. Jones

This paper introduces a novel nonlinear model predictive control (NMPC) framework that incorporates a lifting technique to enhance control performance for nonlinear systems. While the lifting technique has been widely employed in linear…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Nuthasith Gerdpratoom , Fumiya Matsuzaki , Yutaka Yamamoto , Kaoru Yamamoto

This paper presents a Nonlinear Model Predictive Control (NMPC) scheme targeted at motion planning for mechatronic motion systems, such as drones and mobile platforms. NMPC-based motion planning typically requires low computation times to…

Robotics · Computer Science 2024-10-28 Dries Dirckx , Mathias Bos , Bastiaan Vandewal , Lander Vanroye , Wilm Decré , Jan Swevers

Quantum computation offers potential exponential speedups for simulating certain physical systems, but its application to nonlinear dynamics is inherently constrained by the requirement of unitary evolution. We propose the quantum Koopman…

Quantum Physics · Physics 2025-07-30 Baoyang Zhang , Zhen Lu , Yaomin Zhao , Yue Yang

Manufacturing processes are often perturbed by drifts in the environment and wear in the system, requiring control re-tuning even in the presence of repetitive operations. This paper presents an iterative learning framework for automatic…

Robotics · Computer Science 2026-01-05 Deepak Ingole , Valentin Bhend , Shiva Ganesh Murali , Oliver Dobrich , Alisa Rupenyan

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

Artificial neural networks (ANN) have been shown to be flexible and effective function estimators for identification of nonlinear state-space models. However, if the resulting models are used directly for nonlinear model predictive control…

Systems and Control · Electrical Eng. & Systems 2023-04-03 Jan H. Hoekstra , Bence Cseppentő , Gerben I. Beintema , Maarten Schoukens , Zsolt Kollár , Roland Tóth

The Koopman operator has gained significant attention in recent years for its ability to verify evolutionary properties of continuous-time nonlinear systems by lifting state variables into an infinite-dimensional linear vector space. The…

Dynamical Systems · Mathematics 2024-11-01 Yiming Meng , Ruikun Zhou , Melkior Ornik , Jun Liu

In this paper, we propose, discuss, and validate an online Nonlinear Model Predictive Control (NMPC) method for multi-rotor aerial systems with arbitrarily positioned and oriented rotors which simultaneously addresses the local reference…

Robotics · Computer Science 2020-09-11 Davide Bicego , Jacopo Mazzetto , Ruggero Carli , Marcello Farina , Antonio Franchi

Koopman-based modeling and model predictive control have been a promising alternative for optimal control of nonlinear processes. Good Koopman modeling performance significantly depends on an appropriate nonlinear mapping from the original…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Zhaoyang Li , Minghao Han , Dat-Nguyen Vo , Xunyuan Yin

Koopman-based neural MPC models generate time-varying dynamics from historical data, but preserve convexity by enforcing that the system operator is independent of the current control input. This conditional independence constraint limits…

Machine Learning · Computer Science 2026-05-07 Matan Pagi , Zohar Sorek

In this paper, we study how the Koopman operator framework can be combined with kernel methods to effectively control nonlinear dynamical systems. While kernel methods have typically large computational requirements, we show how random…