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High-Performance Consensus Control in Networked Systems With Limited Bandwidth Communication and Time-Varying Directed Topologies

机译:具有受限带宽通信和时变定向拓扑的网络系统中的高性能共识控制

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摘要

Communication data rates and energy constraints are two important factors that have to be considered in the coordination control of multiagent networks. Although some encoder-decoder-based consensus protocols are available, there still exists a fundamental theoretical problem: how can we further reduce the update rate of control input for each agent without the changing consensus performance? In this paper, we consider the problem of average consensus over directed and time-varying digital networks of discrete-time first-order multiagent systems with limited communication data transmission rates. Each agent has a real-valued state but can only exchange binary symbolic sequence with its neighbors due to bandwidth constraints. A class of novel event-triggered dynamic encoding and decoding algorithms is proposed, based on which a kind of consensus protocol is presented. Moreover, we develop a scheme to select the numbers of time-varying quantization levels for each connected communication channel in the time-varying directed topologies at each time step. The analytical relation among system and network parameters is characterized explicitly. It is shown that the asymptotic convergence rate is related to the scale of the network, the number of quantization levels, the system parameter, and the network structure. It is also found that under the designed event-triggered protocol, for a directed and time-varying digital network, which uniformly contains a spanning tree over a time interval, the average consensus can be achieved with an exponential convergence rate based on merely 1-b information exchange between each pair of adjacent agents at each time step.
机译:通信数据速率和能量限制是在多主体网络的协调控制中必须考虑的两个重要因素。尽管可以使用一些基于编码器/解码器的共识协议,但仍然存在一个基本的理论问题:如何在不改变共识性能的情况下进一步降低每个代理的控制输入更新率?在本文中,我们考虑了具有有限通信数据传输速率的离散时间一阶多主体系统在有向和时变数字网络上的平均共识问题。每个代理都具有实值状态,但由于带宽限制,只能与邻居交换二进制符号序列。提出了一类新颖的事件触发动态编解码算法,在此基础上提出了一种共识协议。此外,我们开发了一种方案,以便在每个时间步长的时变定向拓扑中为每个连接的通信通道选择时变量化级别的数量。系统和网络参数之间的解析关系被明确表征。结果表明,渐近收敛速度与网络规模,量化级数,系统参数和网络结构有关。还发现,在设计的事件触发协议下,对于在时间间隔上均匀包含生成树的有向且时变的数字网络,可以使用仅基于1的指数收敛速率来实现平均共识。 b在每个时间步在每对相邻代理之间进行信息交换。

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