论文标题
层次网络物理系统的无领导者共识
Leaderless Consensus of a Hierarchical Cyber-Physical System
论文作者
论文摘要
本文对一类分层的网络物理系统进行了建模，并研究了其相关的共识问题。该模型具有金字塔结构，反映了许多现实的自然或人类系统。通过分析耦合矩阵的频谱，可以证明物理层中的所有节点都可以基于提出的没有层间延迟的提议的分布式协议达成共识。然后，将结果扩展到与层间延迟的情况。寻求共识的必要条件是从频域的角度得出的，它描述了允许的延迟范围。最后，模拟了所提出的模型在功率分享问题中的应用，以证明分析结果的有效性和意义。
This paper models a class of hierarchical cyber-physical systems and studies its associated consensus problem. The model has a pyramid structure, which reflects many realistic natural or human systems. By analyzing the spectrum of the coupling matrix, it is shown that all nodes in the physical layer can reach a consensus based on the proposed distributed protocols without interlayer delays. Then, the result is extended to the case with interlayer delays. A necessary and sufficient condition for consensus-seeking is derived from the frequency domain perspective, which describes a permissible range of the delay. Finally, the application of the proposed model in the power-sharing problem is simulated to demonstrate the effectiveness and significance of the analytic results.
