English

A Degree of Flowability for Virtual Tubes

Robotics 2026-01-27 v2 Systems and Control Systems and Control

Abstract

With the rapid development of robotics swarm technology, there are more tasks that require the swarm to pass through complicated environments safely and efficiently. Virtual tube technology is a novel way to achieve this goal. Virtual tubes are free spaces connecting two places that provide safety boundaries and direction of motion for swarm robotics. How to determine the design quality of a virtual tube is a fundamental problem. For such a purpose, this paper presents a degree of flowability (DOF) for two-dimensional virtual tubes according to a minimum energy principle. After that, methods to calculate DOF are proposed with a feasibility analysis. Simulations of swarm robotics in different kinds of two-dimensional virtual tubes are performed to demonstrate the effectiveness of the proposed method of calculating DOF.

Keywords

Cite

@article{arxiv.2410.22031,
  title  = {A Degree of Flowability for Virtual Tubes},
  author = {Quan Quan and Shuhan Huang and Kai-Yuan Cai},
  journal= {arXiv preprint arXiv:2410.22031},
  year   = {2026}
}

Comments

22 pages, 16 figures. This is a preprint, currently under review for publication in Robotics and Autonomous Systems, Elsevier. Version 2 is submitted to fix the rendering fault in HTML and correct spelling mistakes in the abstract and the references

R2 v1 2026-06-28T19:39:37.318Z