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基于事件广播的规定性能主从共识

Prescribed Performance Leader-Following Consensus with Event-Based Broadcasting

Athanasios K. Gkesoulis, Haris E. Psillakis, George C. Karras, Charalampos P. Bechlioulis

arXiv 2608.04743首次发表:更新:

AI 中文总结

本文针对含时变有向网络,提出基于事件广播的规定性能主从共识协议,证明了非芝诺解存在性等性质,仿真验证了协议有效性。

AI 中文摘要

本文针对有向网络,开发了一种基于事件广播的规定性能主从共识协议。每个节点仅利用自身当前状态和最后一次广播值来调度传输,跟随节点在两次广播间隔期间使用保留的邻居和领导者样本。为适配异步接收导致的采样邻域误差跳变,采用衰减的接收端性能校正项临时修改规定性能函数。针对包含以时变领导者为根的生成树(领导者轨迹及其导数有界)的有向网络,本文证明了完全非芝诺解的存在性与唯一性、所有闭环信号的有界性,以及采样和连续邻域分歧、主从误差的显式规定边界。这些边界量化了通信拓扑和广播阈值的影响,仿真验证了规定性能边界并阐明了基于事件的通信机制。

英文摘要

This paper develops a prescribed performance leader-following consensus protocol for directed networks under event-based broadcasting. Each node schedules its transmissions using only its current state and its last broadcast value, while followers use held neighbor and leader samples between broadcasts. To accommodate jumps in sampled neighborhood errors caused by asynchronous receptions, a decaying receiver-side performance correction term temporarily modifies the prescribed performance function. For a directed network containing a spanning tree rooted at a time-varying leader with bounded trajectory and derivative, we prove existence and uniqueness of complete non-Zeno solutions, boundedness of all closed-loop signals, and explicit prescribed bounds for the sampled and continuous neighborhood disagreements and the leader-following error. These bounds quantify the effects of the communication topology and broadcast thresholds. Simulations verify the prescribed performance bounds and illustrate the event-based communication mechanism.

Comments8 pages, 6 figures

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