Safe Interval Motion Planning for Quadrotors in Dynamic Environments

Fuente: arXiv
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Auteurs principaux: Huang, Songhao, Wu, Yuwei, Tao, Yuezhan, Kumar, Vijay
Format: Preprint
Publié: 2024
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author Huang, Songhao
Wu, Yuwei
Tao, Yuezhan
Kumar, Vijay
author_facet Huang, Songhao
Wu, Yuwei
Tao, Yuezhan
Kumar, Vijay
contents Trajectory generation in dynamic environments presents a significant challenge for quadrotors, particularly due to the non-convexity in the spatial-temporal domain. Many existing methods either assume simplified static environments or struggle to produce optimal solutions in real-time. In this work, we propose an efficient safe interval motion planning framework for navigation in dynamic environments. A safe interval refers to a time window during which a specific configuration is safe. Our approach addresses trajectory generation through a two-stage process: a front-end graph search step followed by a back-end gradient-based optimization. We ensure completeness and optimality by constructing a dynamic connected visibility graph and incorporating low-order dynamic bounds within safe intervals and temporal corridors. To avoid local minima, we propose a Uniform Temporal Visibility Deformation (UTVD) for the complete evaluation of spatial-temporal topological equivalence. We represent trajectories with B-Spline curves and apply gradient-based optimization to navigate around static and moving obstacles within spatial-temporal corridors. Through simulation and real-world experiments, we show that our method can achieve a success rate of over 95% in environments with different density levels, exceeding the performance of other approaches, demonstrating its potential for practical deployment in highly dynamic environments.
format Preprint
id arxiv_https___arxiv_org_abs_2409_10647
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Safe Interval Motion Planning for Quadrotors in Dynamic Environments
Huang, Songhao
Wu, Yuwei
Tao, Yuezhan
Kumar, Vijay
Robotics
Trajectory generation in dynamic environments presents a significant challenge for quadrotors, particularly due to the non-convexity in the spatial-temporal domain. Many existing methods either assume simplified static environments or struggle to produce optimal solutions in real-time. In this work, we propose an efficient safe interval motion planning framework for navigation in dynamic environments. A safe interval refers to a time window during which a specific configuration is safe. Our approach addresses trajectory generation through a two-stage process: a front-end graph search step followed by a back-end gradient-based optimization. We ensure completeness and optimality by constructing a dynamic connected visibility graph and incorporating low-order dynamic bounds within safe intervals and temporal corridors. To avoid local minima, we propose a Uniform Temporal Visibility Deformation (UTVD) for the complete evaluation of spatial-temporal topological equivalence. We represent trajectories with B-Spline curves and apply gradient-based optimization to navigate around static and moving obstacles within spatial-temporal corridors. Through simulation and real-world experiments, we show that our method can achieve a success rate of over 95% in environments with different density levels, exceeding the performance of other approaches, demonstrating its potential for practical deployment in highly dynamic environments.
title Safe Interval Motion Planning for Quadrotors in Dynamic Environments
topic Robotics
url https://arxiv.org/abs/2409.10647