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Multi-Agent Consensus With Relative-State-Dependent Measurement Noises

机译:相对状态相关的测量噪声的多智能体共识

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摘要

In this note, the distributed consensus corrupted by relative-state-dependent measurement noises is considered. Each agent can measure or receive its neighbors' state information with random noises, whose intensity is a vector function of agents' relative states. By investigating the structure of this interaction and the tools of stochastic differential equations, we develop several small consensus gain theorems to give sufficient conditions in terms of the control gain, the number of agents and the noise intensity function to ensure mean square (m.s.) and almost sure (a.s.) consensus and quantify the convergence rate and the steady-state error. Especially, for the case with homogeneous communication and control channels, a necessary and sufficient condition to ensure m.s. consensus on the control gain is given and it is shown that the control gain is independent of the specific network topology, but only depends on the number of nodes and the noise coefficient constant. For symmetric measurement models, the almost sure convergence rate is estimated by the Iterated Logarithm Law of Brownian motions.
机译:在本说明中,考虑了由相对状态相关的测量噪声所破坏的分布式共识。每个代理可以使用随机噪声来测量或接收其邻居的状态信息,其强度是代理相对状态的向量函数。通过研究这种相互作用的结构和随机微分方程的工具,我们开发了一些小的共识增益定理,以在控制增益,代理数和噪声强度函数方面提供足够的条件,以确保均方根(ms)和几乎可以确定并确定收敛速度和稳态误差。特别是,对于具有统一通信和控制通道的情况,必须有一个足够的条件来确保m.s。给出了关于控制增益的共识,结果表明,控制增益与特定的网络拓扑无关,但仅取决于节点数和噪声系数常数。对于对称测量模型,几乎确定的收敛速度由布朗运动的对数迭代定律估计。

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