Fast Near Time-Optimal Motion Planning for Holonomic Vehicles in Structured Environments

Fuente: arXiv
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Auteurs principaux: Callens, Louis, Vandewal, Bastiaan, Ibrahim, Ibrahim, Swevers, Jan, Decré, Wilm
Format: Preprint
Publié: 2026
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author Callens, Louis
Vandewal, Bastiaan
Ibrahim, Ibrahim
Swevers, Jan
Decré, Wilm
author_facet Callens, Louis
Vandewal, Bastiaan
Ibrahim, Ibrahim
Swevers, Jan
Decré, Wilm
contents This paper proposes a novel and efficient optimization-based method for generating near time-optimal trajectories for holonomic vehicles navigating through complex but structured environments. The approach aims to solve the problem of motion planning for planar motion systems using magnetic levitation that can be used in assembly lines, automated laboratories or clean-rooms. In these applications, time-optimal trajectories that can be computed in real-time are required to increase productivity and allow the vehicles to be reactive if needed. The presented approach encodes the environment representation using free-space corridors and represents the motion of the vehicle through such a corridor using a motion primitive. These primitives are selected heuristically and define the trajectory with a limited number of degrees of freedom, which are determined in an optimization problem. As a result, the method achieves significantly lower computation times compared to the state-of-the-art, most notably solving a full Optimal Control Problem (OCP), OMG-tools or VP-STO without significantly compromising optimality within a fixed corridor sequence. The approach is benchmarked extensively in simulation and is validated on a real-world Beckhoff XPlanar system
format Preprint
id arxiv_https___arxiv_org_abs_2602_02826
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Fast Near Time-Optimal Motion Planning for Holonomic Vehicles in Structured Environments
Callens, Louis
Vandewal, Bastiaan
Ibrahim, Ibrahim
Swevers, Jan
Decré, Wilm
Optimization and Control
Robotics
This paper proposes a novel and efficient optimization-based method for generating near time-optimal trajectories for holonomic vehicles navigating through complex but structured environments. The approach aims to solve the problem of motion planning for planar motion systems using magnetic levitation that can be used in assembly lines, automated laboratories or clean-rooms. In these applications, time-optimal trajectories that can be computed in real-time are required to increase productivity and allow the vehicles to be reactive if needed. The presented approach encodes the environment representation using free-space corridors and represents the motion of the vehicle through such a corridor using a motion primitive. These primitives are selected heuristically and define the trajectory with a limited number of degrees of freedom, which are determined in an optimization problem. As a result, the method achieves significantly lower computation times compared to the state-of-the-art, most notably solving a full Optimal Control Problem (OCP), OMG-tools or VP-STO without significantly compromising optimality within a fixed corridor sequence. The approach is benchmarked extensively in simulation and is validated on a real-world Beckhoff XPlanar system
title Fast Near Time-Optimal Motion Planning for Holonomic Vehicles in Structured Environments
topic Optimization and Control
Robotics
url https://arxiv.org/abs/2602.02826