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Consensus design for continuous-time multi-agent systems with communication delay

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Abstract

This paper investigates a consensus design problem for continuous-time first-order multiagent systems with uniform constant communication delay. Provided that the agent dynamic is unstable and the diagraph is undirected, sufficient conditions are derived to guarantee consensus. The key technique is the adoption of historical input information in the protocol. Especially, when agent’s own historical input information is used in the protocol design, the consensus condition is constructed in terms of agent dynamic, communication delay, and the eigenratio of the network topology. Simulation result is presented to validate the effectiveness of the theoretical result.

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Authors and Affiliations

  1. School of Control Science and Engineering, Shandong University, Jinan, 250061, China

    Zhenhua Wang

  2. Department of Automation, Tsinghua University, Beijing, 100084, China

    Keyou You

  3. School of Control Science and Engineering, Shandong University, Jinan, 250061, China

    Juanjuan Xu & Huanshui Zhang

Authors
  1. Zhenhua Wang
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  2. Keyou You
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  3. Juanjuan Xu
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  4. Huanshui Zhang
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Corresponding author

Correspondence to Huanshui Zhang.

Additional information

This research was supported by the Taishan Scholar Construction Engineering by Shandong Government, the National Natural Science Foundation of China under Grant Nos. 61120106011 and 61203029.

This paper was recommended for publication by Editor HAN Jing.

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Wang, Z., You, K., Xu, J. et al. Consensus design for continuous-time multi-agent systems with communication delay. J Syst Sci Complex 27, 701–711 (2014). https://doi.org/10.1007/s11424-014-3334-z

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  • DOI: https://doi.org/10.1007/s11424-014-3334-z

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