Robust consensus control by state-dependent dithers

Lijian Xu, Le Yi Wang, George Yin, Wei Xing Zheng

Research output: Chapter in Book / Conference PaperConference Paperpeer-review

1 Citation (Scopus)

Abstract

This paper introduces a new method for enhancing robustness against communication uncertainties in consensus control by using a state and sampling-interval dependent dither in signal transmission. This method is based on the principle of It's formula for stochastic differential equation in which the diffusion term introduces a quadratic term in stability analysis. It is revealed that this feature can be utilized to provide robustness against communication multiplicative uncertainties, much beyond the ability of traditional feedback robustness design. Algorithms are introduced and their convergence properties are established. It is shown that appropriate design of the dithers can create a highly robust consensus control. Simulation results are used to illustrate the benefits of this method.
Original languageEnglish
Title of host publicationProceedings of 2012 IEEE International Conference on Electro/Information Technology: 6-8 May 2012, Indianapolis, Ind.
PublisherIEEE
Number of pages6
ISBN (Print)9781467308199
DOIs
Publication statusPublished - 2012
EventIEEE International Conference on Electro Information Technology -
Duration: 6 Aug 2012 → …

Publication series

Name
ISSN (Print)2154-0357

Conference

ConferenceIEEE International Conference on Electro Information Technology
Period6/08/12 → …

Keywords

  • communication channels
  • computer networks
  • consensus control
  • robust control
  • signal transmission
  • stability analysis
  • stochastic differential equations

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