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Exact Consensus Error for Multi-agent Systems with Additive Noises

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Abstract

In this paper, the consensus problem is investigated for discrete-time multi-agent systems with additive process noises. Due to the presence of additive noises in the system dynamics, consensus cannot be achieved. The main contribution of this paper is to give the exact consensus error. In particular, control gain depending on the agent dynamics and network topology is designed based on the technique dealing with the simultaneous stabilization. Finally, a numerical simulation is provided to demonstrate the effectiveness of the proposed theoretical results.

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Authors and Affiliations

  1. School of Control Science and Engineering, Shandong University, Jinan, 217923, China

    Huifang Sun, Juanjuan Xu & Huanshui Zhang

  2. Research Center for Dynamics and Control Science, Business School, Shandong Normal University, Jinan, 250014, China

    Zhongmei Wang

Authors
  1. Huifang Sun
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  2. Zhongmei Wang
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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 paper was supported by the National Natural Science Foundation of China under Grants Nos. 61633014, 61573221, and 61803239, the Shandong Postdoctoral Innovation Project Special Funding Project under Grant No. 201703021.

This paper was recommended for publication by Editor LIU Guoping.

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Sun, H., Wang, Z., Xu, J. et al. Exact Consensus Error for Multi-agent Systems with Additive Noises. J Syst Sci Complex 33, 640–651 (2020). https://doi.org/10.1007/s11424-020-8287-9

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  • DOI: https://doi.org/10.1007/s11424-020-8287-9

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