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Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) describes systems with nonlinear models and/or constraints. Continuation MPC, suggested by T.~Ohtsuka in 2004, uses…

Optimization and Control · Mathematics 2016-06-13 Andrew Knyazev , Alexander Malyshev

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

Autonomous Micro Aerial Vehicles (MAVs), particularly quadrotors, have shown significant potential in assisting humans with tasks such as construction and package delivery. These applications benefit greatly from the use of cables for…

Systems and Control · Electrical Eng. & Systems 2025-04-07 Tohid Kargar Tasooji , Sakineh Khodadadi , Guangjun Liu

Model predictive control (MPC) is a powerful control method that allows to directly include state and input constraints into the controller design. However, errors in the model, e.g., caused by unknown disturbances, can lead to constraint…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Felix Brändle , Frank Allgöwer

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

Navigating complex environments requires Unmanned Aerial Vehicles (UAVs) and autonomous systems to perform trajectory tracking and obstacle avoidance in real-time. While many control strategies have effectively utilized linear…

Robotics · Computer Science 2024-10-04 Lara Laban , Mariusz Wzorek , Piotr Rudol , Tommy Persson

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…

Positive-negative pressure regulation is critical to soft robotic actuators, enabling large motion ranges and versatile actuation modes. However, it remains challenging due to complex nonlinearities, oscillations, and direction-dependent,…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Yu Mei , Xinyu Zhou , Xiaobo Tan

In this paper, we present a quasi infinite horizon nonlinear model predictive control (MPC) scheme for tracking of generic reference trajectories. This scheme is applicable to nonlinear systems, which are locally incrementally stabilizable.…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Explicit machine learning-based model predictive control (explicit ML-MPC) has been developed to reduce the real-time computational demands of traditional ML-MPC. However, the evaluation of candidate control actions in explicit ML-MPC can…

Optimization and Control · Mathematics 2024-08-14 Wenlong Wang , Haohao Zhang , Yujia Wang , Yuhe Tian , Zhe Wu

Heavy-duty hydraulic manipulators (HHMs) operate under strict physical and safety-critical constraints due to their large size, high power, and complex nonlinear dynamics. Ensuring that both joint-level and end-effector trajectories remain…

Robotics · Computer Science 2025-10-28 Alvaro Paz , Mahdi Hejrati , Pauli Mustalahti , Jouni Mattila

This paper studies the optimal control problem for discrete-time nonlinear systems and an approximate dynamic programming-based Model Predictive Control (MPC) scheme is proposed for minimizing a quadratic performance measure. In the…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Keerthi Chacko , Midhun T. Augustine , S. Janardhanan , Deepak U. Patil , I. N. Kar

This paper presents a model predictive control (MPC) for dynamic systems whose nonlinearity and uncertainty are modelled by deep neural networks (NNs), under input and state constraints. Since the NN output contains a high-order complex…

Systems and Control · Electrical Eng. & Systems 2024-05-20 Jianglin Lan

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

Approaches for stochastic nonlinear model predictive control (SNMPC) typically make restrictive assumptions about the system dynamics and rely on approximations to characterize the evolution of the underlying uncertainty distributions. For…

Robotics · Computer Science 2023-09-14 Adam Polevoy , Marin Kobilarov , Joseph Moore

The paper discusses multistep nonlinear model-predictive control (NMPC) schemes for the tracking of a car model along a given reference track. In particular we will compare the numerical performance and robustness of classic single step…

Optimization and Control · Mathematics 2018-09-05 Matthias Gerdts

We provide a method to design adaptive controllers for nonlinear systems using model predictive control (MPC). By combining a certainty-equivalent MPC formulation with least-mean-square parameter adaptation, we obtain an adaptive controller…

Optimization and Control · Mathematics 2026-03-19 Johannes Köhler

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

We introduce the Control Toolbox (CT), an open-source C++ library for efficient modeling, control, estimation, trajectory optimization and Model Predictive Control. The CT is applicable to a broad class of dynamic systems but features…

Robotics · Computer Science 2018-07-04 Markus Giftthaler , Michael Neunert , Markus Stäuble , Jonas Buchli

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