Locally Optimal Solutions to Constraint Displacement Problems via Path-Obstacle Overlaps

Fuente: arXiv
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Autori principali: Thomas, Antony, Mastrogiovanni, Fulvio, Baglietto, Marco
Natura: Preprint
Pubblicazione: 2025
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author Thomas, Antony
Mastrogiovanni, Fulvio
Baglietto, Marco
author_facet Thomas, Antony
Mastrogiovanni, Fulvio
Baglietto, Marco
contents We present a unified approach for constraint displacement problems in which a robot finds a feasible path by displacing constraints or obstacles. To this end, we propose a two stage process that returns locally optimal obstacle displacements to enable a feasible path for the robot. The first stage proceeds by computing a trajectory through the obstacles while minimizing an appropriate objective function. In the second stage, these obstacles are displaced to make the computed robot trajectory feasible, that is, collision-free. Several examples are provided that successfully demonstrate our approach on two distinct classes of constraint displacement problems.
format Preprint
id arxiv_https___arxiv_org_abs_2511_12203
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Locally Optimal Solutions to Constraint Displacement Problems via Path-Obstacle Overlaps
Thomas, Antony
Mastrogiovanni, Fulvio
Baglietto, Marco
Robotics
Artificial Intelligence
We present a unified approach for constraint displacement problems in which a robot finds a feasible path by displacing constraints or obstacles. To this end, we propose a two stage process that returns locally optimal obstacle displacements to enable a feasible path for the robot. The first stage proceeds by computing a trajectory through the obstacles while minimizing an appropriate objective function. In the second stage, these obstacles are displaced to make the computed robot trajectory feasible, that is, collision-free. Several examples are provided that successfully demonstrate our approach on two distinct classes of constraint displacement problems.
title Locally Optimal Solutions to Constraint Displacement Problems via Path-Obstacle Overlaps
topic Robotics
Artificial Intelligence
url https://arxiv.org/abs/2511.12203