论文标题
匿名多代理网络的动态最大传感和尺寸估计
Dynamic Max-Consensus and Size Estimation of Anonymous Multi-Agent Networks
论文作者
论文摘要
在本文中，我们为离散时间多代理系统（MAS）提出了一种新的共识协议，该方案解决了最大值的动态共识问题，即动态最大传感问题。在每个代理的动态最大传感问题中，每个代理都是一个外源参考信号，每个代理的目的是通过仅利用代理中的局部和匿名相互作用来估算馈送到网络的信号中最大值的瞬时和时变值。理论上表征了所提出的分布式控制协议的绝对和相对跟踪误差，并被证明是有界的，并且通过调整其参数，可以权衡收敛时间以获得稳态误差。然后，应用动态最大传感算法在动态设置中求解分布式大小估计问题，在该设置中，网络的大小在执行估计算法期间是在时间变化的。提供数值模拟以证实理论分析。
In this paper we propose a novel consensus protocol for discrete-time multi-agent systems (MAS), which solves the dynamic consensus problem on the max value, i.e., the dynamic max-consensus problem. In the dynamic max-consensus problem to each agent is fed a an exogenous reference signal, the objective of each agent is to estimate the instantaneous and time-varying value of the maximum among the signals fed to the network, by exploiting only local and anonymous interactions among the agents. The absolute and relative tracking error of the proposed distributed control protocol is theoretically characterized and is shown to be bounded and by tuning its parameters it is possible to trade-off convergence time for steady-state error. The dynamic Max-consensus algorithm is then applied to solve the distributed size estimation problem in a dynamic setting where the size of the network is time-varying during the execution of the estimation algorithm. Numerical simulations are provided to corroborate the theoretical analysis.
