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Consensus control of multi-agent systems with missing data in actuators and Markovian communication failure

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  • Yuebing Hu
  • James Lam
  • Jinling Liang

Abstract

This article investigates the consensus problem of multi-agent systems (MASs) with imperfect communication both in channels and in actuators. The data transmission among agents may fail due to limited communication capacity, and the actuators may fail to receive information owing to noisy environment. We use a Markov chain approach to characterise the occurrence of the two types missing data in a unified framework. A sufficient consensus condition is first obtained in terms of linear matrix inequalities. Then, based on this condition, a novel controller design method is further developed such that the MAS with imperfect communication reaches mean-square consensus. It is shown that the consensus problem for MASs with switching topology can be regarded as a special case of the problem considered in this article, and the related theoretical results are presented as well. Numerical examples are provided to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • Yuebing Hu & James Lam & Jinling Liang, 2013. "Consensus control of multi-agent systems with missing data in actuators and Markovian communication failure," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(10), pages 1867-1878.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1867-1878
    DOI: 10.1080/00207721.2012.670298
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    Cited by:

    1. Zhihai Wu & Li Peng & Linbo Xie & Jiwei Wen, 2015. "Stochastic bounded consensus tracking of second-order multi-agent systems with measurement noises based on sampled-data with general sampling delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(3), pages 546-561, February.

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