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Fuzzy Adaptive Leader-Following Consensus Control for Nonlinear Multi-Agent Systems with Unknown Control Directions

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A Correction to this article was published on 04 February 2020

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Abstract

Two new fuzzy adaptive leader-following consensus control algorithms are proposed for nonlinear multi-agent systems with unknown identical and nonidentical control directions. In this paper, agents are modeled as first-order nonlinear systems with uncertain dynamics and unknown control directions. Two types of multi-agent systems are considered: i.e. all the agents have the same control direction and different agents have different control directions. The objective of this paper is to design distributed controllers for follower agents, such that all the follower agents can keep consensus with the leader even if only a fraction of followers can receive the information from the leader. The fuzzy neural network (FNN) is constructed to approximate the unknown dynamics by its powerful learning performance and exemption from prior knowledge of the systems. Finally, the numerical examples are provided to illustrate the effectiveness of the designed controller.

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  • 04 February 2020

    In the original publication the author affiliations were inconsistent. The correct affiliations are provided in this correction.

  • 04 February 2020

    In the original publication the author affiliations were inconsistent. The correct affiliations are provided in this correction.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant 61803276, 61751202, U1813203, 61703006 and 61572540, the National Key Research and Development Plan under Grant 2017YFB1301104, CNU Young Yanjing Scholars Teacher Cultivation under 0061955110, the Beijing Education Committee General Project under Grant KM201910028164, Beijing Municipal Excellent Talent Program (Youth Core Individual Project) 2017000020124G072.

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Authors and Affiliations

  1. South China University of Technology, Guangzhou, China

    C. L. Philip Chen

  2. North China University of Technology, Beijing, China

    Tao Du

  3. Capital Normal University, Beijing, China

    Chang-E Ren & Yong Guan

Authors
  1. Chang-E Ren
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  2. C. L. Philip Chen
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  3. Tao Du
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  4. Yong Guan
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Correspondence to Chang-E Ren.

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Ren, CE., Chen, C.L.P., Du, T. et al. Fuzzy Adaptive Leader-Following Consensus Control for Nonlinear Multi-Agent Systems with Unknown Control Directions. Int. J. Fuzzy Syst. 21, 2066–2076 (2019). https://doi.org/10.1007/s40815-019-00710-1

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  • DOI: https://doi.org/10.1007/s40815-019-00710-1

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