Polygonal Cone Control Barrier Functions (PolyC2BF) for safe navigation in cluttered environments

Fuente: arXiv
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Hauptverfasser: Tayal, Manan, Kolathaya, Shishir
Format: Preprint
Veröffentlicht: 2023
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author Tayal, Manan
Kolathaya, Shishir
author_facet Tayal, Manan
Kolathaya, Shishir
contents In fields such as mining, search and rescue, and archaeological exploration, ensuring real-time, collision-free navigation of robots in confined, cluttered environments is imperative. Despite the value of established path planning algorithms, they often face challenges in convergence rates and handling dynamic infeasibilities. Alternative techniques like collision cones struggle to accurately represent complex obstacle geometries. This paper introduces a novel category of control barrier functions, known as Polygonal Cone Control Barrier Function (PolyC2BF), which addresses overestimation and computational complexity issues. The proposed PolyC2BF, formulated as a Quadratic Programming (QP) problem, proves effective in facilitating collision-free movement of multiple robots in complex environments. The efficacy of this approach is further demonstrated through PyBullet simulations on quadruped (unicycle model), and crazyflie 2.1 (quadrotor model) in cluttered environments.
format Preprint
id arxiv_https___arxiv_org_abs_2311_08787
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Polygonal Cone Control Barrier Functions (PolyC2BF) for safe navigation in cluttered environments
Tayal, Manan
Kolathaya, Shishir
Robotics
Systems and Control
In fields such as mining, search and rescue, and archaeological exploration, ensuring real-time, collision-free navigation of robots in confined, cluttered environments is imperative. Despite the value of established path planning algorithms, they often face challenges in convergence rates and handling dynamic infeasibilities. Alternative techniques like collision cones struggle to accurately represent complex obstacle geometries. This paper introduces a novel category of control barrier functions, known as Polygonal Cone Control Barrier Function (PolyC2BF), which addresses overestimation and computational complexity issues. The proposed PolyC2BF, formulated as a Quadratic Programming (QP) problem, proves effective in facilitating collision-free movement of multiple robots in complex environments. The efficacy of this approach is further demonstrated through PyBullet simulations on quadruped (unicycle model), and crazyflie 2.1 (quadrotor model) in cluttered environments.
title Polygonal Cone Control Barrier Functions (PolyC2BF) for safe navigation in cluttered environments
topic Robotics
Systems and Control
url https://arxiv.org/abs/2311.08787