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Distributed Observer-Based Predefined-Time Consensus Control for Second-Order Multi-agent Systems

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Abstract

This paper probes into the problem of predefined-time consensus tracking for a class of second-order multi-agent systems (MASs) subject to external disturbances based on a predefined-time observer. A predefined-time control strategy based on the use of terminal sliding mode control method is proposed, which can achieve consensus tracking in a predefined time. Firstly, the observer is designed so that observed states and leader states reach consensus. Secondly, according to the designed controller, states of each agent and observed states achieve consensus, namely, leader-following consensus is realized. By employing Lyapunov stability theory, some sufficient criteria are obtained to achieve predefined-time consensus tracking for second-order MASs with disturbances. Finally, some numerical examples are presented to prove the validity of our designs.

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Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.

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Funding

This work was funded by the National Natural Science Foundation of China (62071173 and 61971181) and the Natural Science Foundation of Hubei Province (2022CFB479).

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Hubei Normal University, Huangshi, 435000, China

    Li Lu, Tao Han & Bo Xiao

  2. School of Electrical Engineering and Automation, East China University of Science and Technology, Shanghai, 200000, China

    Huaicheng Yan

Authors
  1. Li Lu
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  2. Tao Han
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  3. Bo Xiao
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Correspondence to Tao Han.

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Lu, L., Han, T., Xiao, B. et al. Distributed Observer-Based Predefined-Time Consensus Control for Second-Order Multi-agent Systems. Circuits Syst Signal Process 42, 7099–7116 (2023). https://doi.org/10.1007/s00034-023-02449-5

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