On Convergence Rate of Leader-Following Consensus of Linear Multi-Agent Systems With Communication Noises

This note further studies the previously proposed consensus protocol for linear multi-agent systems with communication noises. Each agent is allowed to have its own time-varying gain to attenuate the effect of communication noises. Therefore, the common assumption that all agents have the same noise...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 2016-11, Vol.61 (11), p.3586-3592
Main Authors: Cheng, Long, Wang, Yunpen, Ren, Wei, Hou, Zeng-Guang, Tan, Min
Format: Article
Language:English
Subjects:
Asymptotic properties
Attenuation
Automatic control
Convergence
Convergence rate
Gain
leader-following consensus
Mean square values
Multi-agent systems
Multiagent systems
Noise
noises
Protocols
Switches
Time-domain analysis
time-varying gain
Topology
Transient analysis
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This note further studies the previously proposed consensus protocol for linear multi-agent systems with communication noises. Each agent is allowed to have its own time-varying gain to attenuate the effect of communication noises. Therefore, the common assumption that all agents have the same noise-attenuation gain is not necessary. It has been proved that if all noise-attenuation gains are infinitesimal of the same order, then the mean square leader-following consensus can be reached. Furthermore, the convergence rate of the multi-agent system has been investigated. If the noise-attenuation gains belong to a class of functions which are bounded above and below by t -β (β ∈ (0, 1)) asymptotically, then the second-moment of the relative state between each follower agent and the leader agent is characterized by a function bounded above by t -β asymptotically.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2016.2522647