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Adaptive cooperative control for a class of nonlinear multi-agent systems with dead zone and input delay

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Abstract

This paper studies the adaptive fuzzy control problem for multi-agent systems (MASs) with dead zone and input delay. Second-order tracking differentiator is introduced to avoid the repeated differentiations of the virtual control. The problem of dead zone is solved by using dead-zone slope and boundary value theory. Based on the Pade approximation method, the influence of input delay is eliminated of the MASs. The designed controller can guarantee all the signals in the closed-loop system are semi-globally uniformly ultimately bounded, and tracking errors converge to a neighbourhood around the origin. Finally, the simulation results show the effectiveness of the proposed method.

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Authors and Affiliations

  1. College of Information Science and Technology, Bohai University, Jinzhou, 121013, Liaoning, China

    Wei Wang

  2. College of Engineering, Bohai University, Jinzhou, 121013, Liaoning, China

    Hongjing Liang

  3. School of Mathematics and Physics, Bohai University, Jinzhou, 121013, Liaoning, China

    Yanhui Zhang

  4. College of Navigation, Dalian Maritime University, Dalian, 116026, Liaoning, China

    Tieshan Li

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  1. Wei Wang
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  2. Hongjing Liang
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  3. Yanhui Zhang
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  4. Tieshan Li
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Correspondence to Hongjing Liang.

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Funding

This work was partially supported by the National Natural Science Foundation of China (61703051), the Science and Technology Innovation Funds of Dalian (under Grant No. 2018J11CY022), Guangdong Natural Science Funds for Distinguished Young Scholar (2017A- 030306014), Department of Education of Guangdong Province (2017KZDXM027), Department of Education of Liaoning Province (LZ2017001), PhD Start-up Fund of Liaoning Province (20170520124), and Innovative Research Team Program of Guangdong Province Science Foundation (2018B030312006).

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Wang, W., Liang, H., Zhang, Y. et al. Adaptive cooperative control for a class of nonlinear multi-agent systems with dead zone and input delay. Nonlinear Dyn 96, 2707–2719 (2019). https://doi.org/10.1007/s11071-019-04954-2

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  • DOI: https://doi.org/10.1007/s11071-019-04954-2

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