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Group consensus of heterogeneous multi-agent systems with packet loss and unknown speed of second-order agents in cooperative–competitive networks

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Abstract

The group consensus problem is investigated for discrete-time heterogeneous multi-agent systems with unknown speed of second-order agents in cooperative–competitive networks. Time delays and data packet loss are considered in the systems, and novel group consensus control protocols are designed. By using graph theory, matrix theory, and the frequency domain approach, some sufficient conditions for group consensus are obtained, and the upper bound of the allowed time delay in the consensus system is given. Finally, a series of simulation experiments are presented to verify the effectiveness of the propounded control protocol.

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Acknowledgements

The authors gratefully appreciate the precious comments and the constructive suggestions of the editors and reviewers, which have assisted in significantly improving the quality of the paper.

Funding

This work is supported by the National Natural Science Foundation of China (Grant Nos. 61673080 and 61773082), the Natural Science Funds of Chongqing CSTC (Grant No. cstc2019jcyj-msxmX0102), the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJZD-K202000601), the Graduate Student Research Innovation Project of Chongqing (Grant No. CYS22482) and the Research and Training Program for College Students of Chongqing University of Posts and Telecommunications (Grant No. A2022-256).

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Authors and Affiliations

  1. Key Laboratory of Intelligent Analysis and Decision on Complex Systems, School of Science, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China

    Fenglan Sun & Wei Zhu

  2. Key Laboratory of Intelligent Air-Ground Cooperative Control for Universities in Chongqing, College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China

    Fenglan Sun & Xiaoshuai Wu

  3. Department of Complexity Science, Potsdam Institute for Climate Impact Research, Potsdam, 14473, Germany

    Fenglan Sun & Jürgen Kurths

  4. Institute of Physics, Humboldt University of Berlin, Berlin, 12489, Germany

    Jürgen Kurths

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  1. Fenglan Sun
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Correspondence to Fenglan Sun.

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Sun, F., Wu, X., Kurths, J. et al. Group consensus of heterogeneous multi-agent systems with packet loss and unknown speed of second-order agents in cooperative–competitive networks. Nonlinear Dyn 110, 3447–3461 (2022). https://doi.org/10.1007/s11071-022-07780-1

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