Convergence Analysis for Platooning Over Coloured Additive Noise Channels

Fernando Sanhueza, Marco Gordon, Alejandro I. Maass, Andrés Peters, Francisco Vargas

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

Abstract

We consider a platooning control problem where the communication channels between vehicles are subject to coloured additive noises. Due to the stochastic nature of these channels, our analysis delves into examining the convergence of both the mean and variance of the vehicle tracking errors. We study the convergence as both time and number of vehicles grow unbounded. Our results include necessary and sufficient conditions for convergence and reveal that the colour of the noise does not impact the convergence characteristics of the error statistics, although it affects the values of the tracking error variances. Our findings offer insights into string stabilization. Numerical examples illustrate our results.

Original languageEnglish
Title of host publication2024 European Control Conference, ECC 2024
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages430-435
Number of pages6
ISBN (Electronic)9783907144107
DOIs
StatePublished - 2024
Externally publishedYes
Event2024 European Control Conference, ECC 2024 - Stockholm, Sweden
Duration: 25 Jun 202428 Jun 2024

Publication series

Name2024 European Control Conference, ECC 2024

Conference

Conference2024 European Control Conference, ECC 2024
Country/TerritorySweden
CityStockholm
Period25/06/2428/06/24

Keywords

  • Convergence
  • coloured additive noise channels
  • platooning
  • string stability

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