Safe Multi-Robotic Arm Interaction via 3D Convex Shapes

Fuente: arXiv
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Autori principali: Kaypak, Ali Umut, Wei, Shiqing, Krishnamurthy, Prashanth, Khorrami, Farshad
Natura: Preprint
Pubblicazione: 2025
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author Kaypak, Ali Umut
Wei, Shiqing
Krishnamurthy, Prashanth
Khorrami, Farshad
author_facet Kaypak, Ali Umut
Wei, Shiqing
Krishnamurthy, Prashanth
Khorrami, Farshad
contents Inter-robot collisions pose a significant safety risk when multiple robotic arms operate in close proximity. We present an online collision avoidance methodology leveraging High-Order Control Barrier Functions (HOCBFs) constructed for safe interactions among 3D convex shapes to address this issue. While prior works focused on using Control Barrier Functions (CBFs) for human-robotic arm and single-arm collision avoidance, we explore the problem of collision avoidance between multiple robotic arms operating in a shared space. In our methodology, we utilize the proposed HOCBFs as centralized and decentralized safety filters. These safety filters are compatible with many nominal controllers and ensure safety without significantly restricting the robots' workspace. A key challenge in implementing these filters is the computational overhead caused by the large number of safety constraints and the computation of a Hessian matrix per constraint. We address this challenge by employing numerical differentiation methods to approximate computationally intensive terms. The effectiveness of our method is demonstrated through extensive simulation studies and real-world experiments with Franka Research 3 robotic arms. The project video is available at this link.
format Preprint
id arxiv_https___arxiv_org_abs_2503_11791
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Safe Multi-Robotic Arm Interaction via 3D Convex Shapes
Kaypak, Ali Umut
Wei, Shiqing
Krishnamurthy, Prashanth
Khorrami, Farshad
Robotics
Systems and Control
Inter-robot collisions pose a significant safety risk when multiple robotic arms operate in close proximity. We present an online collision avoidance methodology leveraging High-Order Control Barrier Functions (HOCBFs) constructed for safe interactions among 3D convex shapes to address this issue. While prior works focused on using Control Barrier Functions (CBFs) for human-robotic arm and single-arm collision avoidance, we explore the problem of collision avoidance between multiple robotic arms operating in a shared space. In our methodology, we utilize the proposed HOCBFs as centralized and decentralized safety filters. These safety filters are compatible with many nominal controllers and ensure safety without significantly restricting the robots' workspace. A key challenge in implementing these filters is the computational overhead caused by the large number of safety constraints and the computation of a Hessian matrix per constraint. We address this challenge by employing numerical differentiation methods to approximate computationally intensive terms. The effectiveness of our method is demonstrated through extensive simulation studies and real-world experiments with Franka Research 3 robotic arms. The project video is available at this link.
title Safe Multi-Robotic Arm Interaction via 3D Convex Shapes
topic Robotics
Systems and Control
url https://arxiv.org/abs/2503.11791