Mean square averaging with relative-state-dependent measurement noises and linear noise intensity functions

Tao Li*, Fuke Wu, Ji Feng Zhang

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

In this paper, we consider the distributed averaging of high-dimensional first-order agents with relative-state-dependent measurement noises. Each agent can measure or receive its neighbors' state information with random noises, whose intensity is a linear vector-valued function of agents' relative states. By the tools of stochastic differential equations and algebraic graph theory, we give some necessary and sufficient conditions in terms of the control gain matrix, the noise intensity function and the network topology graph to ensure mean square average-consensus. Especially, for the case with independent and homogeneous channels, if the noise intensity grows with the rate σ, then 0 < k < N/[(N - 1)σ2] is a necessary and sufficient condition on the control gain k to ensure mean square average-consensus.

Original languageEnglish
Title of host publicationProceedings of the 33rd Chinese Control Conference, CCC 2014
EditorsShengyuan Xu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages1179-1183
Number of pages5
ISBN (Electronic)9789881563842
DOIs
StatePublished - 11 Sep 2014
Externally publishedYes
EventProceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
Duration: 28 Jul 201430 Jul 2014

Publication series

NameProceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

ConferenceProceedings of the 33rd Chinese Control Conference, CCC 2014
Country/TerritoryChina
CityNanjing
Period28/07/1430/07/14

Keywords

  • Consensus
  • Distributed Averaging
  • Measurement Noise
  • Multi-Agent System

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