论文标题

通过Voronoi通信图的弹性共识

Resilient Consensus via Voronoi Communication Graphs

论文作者

Saulnier, Kelsey, Zhou, Lifeng, Pappas, George, Kumar, Vijay

论文摘要

共识算法通过使多个机器人能够收敛到仅使用本地通信的全局变量的一致估计来构成许多分布式算法的基础。但是,标准共识协议很容易被非合作团队成员误入歧途。因此,对于设计弹性分布式算法,必须研究共识的弹性形式。 W-MSR共识是一种这样的有弹性共识算法,它允许仅具有通信图的本地知识,而没有用于共享数据的先验模型。但是,给定通信图满足严格的图形连接要求的验证使W-MSR在实践中难以使用。在本文中,我们表明机器人文献中常用的通信图结构是基于Voronoi Tessellation构建的通信图,自动产生足够连接的图以拒绝单个非合作团队成员。此外,我们展示了如何增强该图,以拒绝两个非合作团队成员,并为改进的路线图提供了进一步的弹性。这项贡献将允许在已经依赖基于Voronoi的通信(例如分布式覆盖范围和探索算法)的算法中轻松应用弹性共识。

Consensus algorithms form the foundation for many distributed algorithms by enabling multiple robots to converge to consistent estimates of global variables using only local communication. However, standard consensus protocols can be easily led astray by non-cooperative team members. As such, the study of resilient forms of consensus is necessary for designing resilient distributed algorithms. W-MSR consensus is one such resilient consensus algorithm that allows for resilient consensus with only local knowledge of the communication graph and no a priori model for the data being shared. However, the verification that a given communication graph meets the strict graph connectivity requirement makes W-MSR difficult to use in practice. In this paper, we show that a commonly used communication graph structure in robotics literature, the communication graph built based on the Voronoi tessellation, automatically results in a sufficiently connected graph to reject a single non-cooperative team member. Further, we show how this graph can be enhanced to reject two non-cooperative team members and provide a roadmap for modifications for further resilience. This contribution will allow for the easy application of resilient consensus to algorithms that already rely on Voronoi-based communication such as distributed coverage and exploration algorithms.

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