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arXiv 2509.16492cs.RO

分布式机器人集群元状态稳定性的基板时序无关性

Substrate-Timing-Independence for Meta-State Stability of Distributed Robotic Swarms

International School of Engineering, Faculty of Engineering, Chulalongkorn University(国际工程学院,工程学院,朱拉隆梭大学)

Tinapat Limsila, Mehul Sharma, Paulo Garcia

AI总结:

本文提出一种基于通信顺序进程的基板时序无关形式化方法,自动识别并修正机器人集群设计中的错误元状态成因,仿真与实物实验验证了修正后集群行为持续正确。

摘要:

分布式系统中的涌现特性源于时序不可预测性;每个子系统内部的异步状态演化可能导致宏观系统进入错误的元状态。由于状态空间规模过大而难以处理,对正确性进行经验验证往往代价高昂。与软件系统相比,在机器人集群中,由于实现基板在设计乃至部署过程中的可变性,这一问题更加严重。我们提出了一种以基板时序无关的方式对机器人集群设计的正确性进行形式化推理的方法。通过利用并发进程演算(即通信顺序进程),我们引入了一种方法,能够自动识别错误元状态的可能成因,并修正此类设计,使得即使在基板变化导致时序可变的情况下,元状态也能持续保持稳定。我们在一个具有明确已识别故障的机器人集群上对该方法进行了评估,该集群在仿真和现实中均已实现。结果支持研究假设,表明在应用修正之前集群会达到非法元状态,但在修正之后行为持续正确。我们的技术可迁移到不同的设计方法中,为机器人学家的形式化方法工具箱做出了贡献。

英文摘要:

Emergent properties in distributed systems arise due to timing unpredictability; asynchronous state evolution within each sub-system may lead the macro-system to faulty meta-states. Empirical validation of correctness is often prohibitively expensive, as the size of the state-space is too large to be tractable. In robotic swarms this problem is exacerbated, when compared to software systems, by the variability of the implementation substrate across the design, or even the deployment, process. We present an approach for formally reasoning about the correctness of robotic swarm design in a substrate-timing-independent way. By leveraging concurrent process calculi (namely, Communicating Sequential Processes), we introduce a methodology that can automatically identify possible causes of faulty meta-states and correct such designs such that meta-states are consistently stable, even in the presence of timing variability due to substrate changes. We evaluate this approach on a robotic swarm with a clearly identified fault, realized in both simulation and reality. Results support the research hypothesis, showing that the swarm reaches an illegal meta-state before the correction is applied, but behaves consistently correctly after the correction. Our techniques are transferable across different design methodologies, contributing to the toolbox of formal methods for roboticists.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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