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Distributed fuzzy consensus of uncertain topology structure multi-agent systems with non-identical partially unknown control directions

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  • Chen, Jiaxi
  • Li, Junmin
  • Zhang, Rui
  • Wei, Chengzhou

Abstract

This paper mainly studies the consensus problem for a class of multi-agent systems with uncertain topology structure and non-identical partially unknown control directions. Aiming at uncertain topology structure and unknown control directions, T-S fuzzy model and Nussbaum function are used, respectively. Under the assumption that uncertain topology structure is fuzzy union connected and only a small portion of followers have access to the information of leader, some new control protocols are presented to solve the consensus problem for the first-order and second-order nonlinear multi-agent systems, respectively. Furthermore, the designed consensus protocols can be extended to the formation control. At last, the validity of the proposed methods is verified by four simulation examples.

Suggested Citation

  • Chen, Jiaxi & Li, Junmin & Zhang, Rui & Wei, Chengzhou, 2019. "Distributed fuzzy consensus of uncertain topology structure multi-agent systems with non-identical partially unknown control directions," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
  • Handle: RePEc:eee:apmaco:v:362:y:2019:i:c:51
    DOI: 10.1016/j.amc.2019.124581
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    References listed on IDEAS

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    1. Wang, Jing & Ru, Tingting & Xia, Jianwei & Wei, Yunliang & Wang, Zhen, 2019. "Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 235-251.
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    Cited by:

    1. Ding, Dong & Tang, Ze & Wang, Yan & Ji, Zhicheng, 2021. "Secure synchronization of complex networks under deception attacks against vulnerable nodes," Applied Mathematics and Computation, Elsevier, vol. 399(C).

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