Efficient variable-length hanging tether parameterization for marsupial robot planning in 3D environments

Fuente: arXiv
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Main Authors: Martínez-Rozas, S., Alejo, D., Caballero, F., Merino, L., Pérez-Cutiño, M. A., Rodriguez, F., Sánchez-Canales, V., Ventura, I., Díaz-Bañez, J. M.
Format: Preprint
Published: 2025
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author Martínez-Rozas, S.
Alejo, D.
Caballero, F.
Merino, L.
Pérez-Cutiño, M. A.
Rodriguez, F.
Sánchez-Canales, V.
Ventura, I.
Díaz-Bañez, J. M.
author_facet Martínez-Rozas, S.
Alejo, D.
Caballero, F.
Merino, L.
Pérez-Cutiño, M. A.
Rodriguez, F.
Sánchez-Canales, V.
Ventura, I.
Díaz-Bañez, J. M.
contents This paper presents a novel approach to efficiently parameterize and estimate the state of a hanging tether for path and trajectory planning of a UGV tied to a UAV in a marsupial configuration. Most implementations in the state of the art assume a taut tether or make use of the catenary curve to model the shape of the hanging tether. The catenary model is complex to compute and must be instantiated thousands of times during the planning process, becoming a time-consuming task, while the taut tether assumption simplifies the problem, but might overly restrict the movement of the platforms. In order to accelerate the planning process, this paper proposes defining an analytical model to efficiently compute the hanging tether state, and a method to get a tether state parameterization free of collisions. We exploit the existing similarity between the catenary and parabola curves to derive analytical expressions of the tether state.
format Preprint
id arxiv_https___arxiv_org_abs_2502_04467
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Efficient variable-length hanging tether parameterization for marsupial robot planning in 3D environments
Martínez-Rozas, S.
Alejo, D.
Caballero, F.
Merino, L.
Pérez-Cutiño, M. A.
Rodriguez, F.
Sánchez-Canales, V.
Ventura, I.
Díaz-Bañez, J. M.
Robotics
This paper presents a novel approach to efficiently parameterize and estimate the state of a hanging tether for path and trajectory planning of a UGV tied to a UAV in a marsupial configuration. Most implementations in the state of the art assume a taut tether or make use of the catenary curve to model the shape of the hanging tether. The catenary model is complex to compute and must be instantiated thousands of times during the planning process, becoming a time-consuming task, while the taut tether assumption simplifies the problem, but might overly restrict the movement of the platforms. In order to accelerate the planning process, this paper proposes defining an analytical model to efficiently compute the hanging tether state, and a method to get a tether state parameterization free of collisions. We exploit the existing similarity between the catenary and parabola curves to derive analytical expressions of the tether state.
title Efficient variable-length hanging tether parameterization for marsupial robot planning in 3D environments
topic Robotics
url https://arxiv.org/abs/2502.04467