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Model Predictive Control (MPC) is a successful control methodology, which is applied to increasingly complex systems. However, real-time feasibility of MPC can be challenging for complex systems, certainly when an (extremely) large number…

Systems and Control · Electrical Eng. & Systems 2024-10-25 S. A. N. Nouwens , B. de Jager , M. M. Paulides , W. P. M. H. Heemels

Optimal control (OC) using inverse dynamics provides numerical benefits such as coarse optimization, cheaper computation of derivatives, and a high convergence rate. However, to take advantage of these benefits in model predictive control…

Robotics · Computer Science 2023-03-24 Carlos Mastalli , Saroj Prasad Chhatoi , Thomas Corbères , Steve Tonneau , Sethu Vijayakumar

In this paper, the optimal consensus problem for general nonlinear multi-agent systems is studied, where both leaderless and leader-follower cases are considered in a unified framework. The key idea is to convert consensus problems into…

Optimization and Control · Mathematics 2026-04-07 Ziyuan Guo , Chuanzhi lv , Liping Zhang , Huanshui Zhang

This paper presents a novel approach for collision avoidance in optimal and model predictive control, in which the environment is represented by a large number of points and the robot as a union of padded polygons. The conditions that none…

Robotics · Computer Science 2026-03-24 Yunfan Gao , Florian Messerer , Niels van Duijkeren , Rashmi Dabir , Moritz Diehl

We consider the control problem of the stochastic Navier-Stokes equations in multidimensional domains introduced in \cite{ocpc} restricted to noise terms defined by Q-Wiener processes. Using a stochastic maximum principle, we derive a…

Optimization and Control · Mathematics 2018-10-30 Peter Benner , Christoph Trautwein

Model Predictive Control (MPC) is an optimal control algorithm with strong stability and robustness guarantees. Despite its popularity in robotics and industrial applications, the main challenge in deploying MPC is its high computation…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Camilo Gonzalez , Houshyar Asadi , Lars Kooijman , Chee Peng Lim

We propose a neural network approach to model general interaction dynamics and an adjoint based stochastic gradient descent algorithm to calibrate its parameters. The parameter calibration problem is considered as optimal control problem…

Optimization and Control · Mathematics 2021-02-01 Simone Göttlich , Claudia Totzeck

Autonomous ships are essentially designed and equipped to perceive their internal and external environment and subsequently perform appropriate actions depending on the predetermined objective(s) without human intervention. Consequently,…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Agnes Ngina Mwange , Dimas Maulana Rachman , Rin Suyama , Atsuo Maki

Moment optimization techniques have been recently proposed to solve globally various classes of optimal control problems. As those methods return truncated moment sequences of occupation measures, this paper explores a numeric method for…

Optimization and Control · Mathematics 2014-04-17 Mathieu Claeys

This work establishes sensitivities of the solution of an optimal control problem (OCP) and a corresponding quantity of interest (QoI) to perturbations in a state/control-dependent component function that appears in the governing ODEs and…

Optimization and Control · Mathematics 2025-06-13 Jonathan R. Cangelosi , Matthias Heinkenschloss

Suboptimal model predictive control is a technique that can reduce the computational cost of model predictive control (MPC) by exploiting its robustness to incomplete optimization. Instead of solving the optimal control problem exactly,…

Systems and Control · Computer Science 2019-05-08 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

Non-linear model predictive control (nMPC) is a powerful approach to control complex robots (such as humanoids, quadrupeds, or unmanned aerial manipulators (UAMs)) as it brings important advantages over other existing techniques. The…

Robotics · Computer Science 2023-07-28 Josep Martí-Saumell , Joan Solà , Angel Santamaria-Navarro , Juan Andrade-Cetto

We propose an integrated control architecture to address the gap that currently exists for efficient real-time implementation of MPC-based control approaches for highly nonlinear systems with fast dynamics and a large number of control…

Systems and Control · Electrical Eng. & Systems 2019-07-15 Anahita Jamshidnejad , Gabriel Gomes , Alexandre M. Bayen , Bart De Schutter

This paper proposes an optimization-based approach to predict trajectories of autonomous race cars. We assume that the observed trajectory is the result of an optimization problem that trades off path progress against acceleration and jerk…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Rudolf Reiter , Florian Messerer , Markus Schratter , Daniel Watzenig , Moritz Diehl

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

The modular open-source framework GRAMPC-D for model predictive control of distributed systems is presented in this paper. The modular concept allows to solve optimal control problems (OCP) in a centralized and distributed fashion using the…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Daniel Burk , Andreas Völz , Knut Graichen

This paper presents a new model-based algorithm that computes predictive optimal controls on-line and in closed loop for traditionally challenging nonlinear systems. Examples demonstrate the same algorithm controlling hybrid impulsive,…

Robotics · Computer Science 2017-09-04 Alex Ansari , Todd Murphey

This paper focuses on an adaptive and fault-tolerant vision-guided robotic system that enables to choose the most appropriate control action if partial or complete failure of the vision system in the short term occurs. Moreover, the…

Robotics · Computer Science 2022-09-07 Farhad Aghili

In real-world problems, uncertainties (e.g., errors in the measurement, precision errors) often lead to poor performance of numerical algorithms when not explicitly taken into account. This is also the case for control problems, where…

Optimization and Control · Mathematics 2020-12-18 Carlos Ignacio Hernández Castellanos , Sina Ober-Blöbaum , Sebastian Peitz

We present an orientation adaptive controller to compensate for the effects of highly constrained environments on continuum manipulator actuation. A transformation matrix updated using optimal estimation techniques from optical flow…

Robotics · Computer Science 2019-09-04 Mrinal Verghese , Florian Richter , Aaron Gunn , Phil Weissbrod , Michael Yip