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Fully distributed hybrid adaptive learning consensus protocols for a class of non-linearly parameterized multi-agent systems

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  • Yang, Nana
  • Li, Junmin
  • Chen, Jiaxi

Abstract

The fully distributed hybrid adaptive learning consensus problem for a class of non-linearly parameterized multi-agent systems is investigated in this paper. Under the alignment initial condition and by parameter separation technique, Barbalat-like lemma and a novel Lyapunov–Krasovskii functional, the hybrid adaptive learning consensus protocols with time-varying adaptive control gains and differential-difference learning updating laws are presented, which are fully distributed, and the perfect consensus tracking is guaranteed over a finite time interval. Finally, two simulation examples are given to verify the availability and practicability of theoretical results.

Suggested Citation

  • Yang, Nana & Li, Junmin & Chen, Jiaxi, 2020. "Fully distributed hybrid adaptive learning consensus protocols for a class of non-linearly parameterized multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    • Handle: RePEc:eee:apmaco:v:375:y:2020:i:c:s0096300320300436
    DOI: 10.1016/j.amc.2020.125074
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    References listed on IDEAS

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    1. Lu, Jianquan & Guo, Xing & Huang, Tingwen & Wang, Zhen, 2019. "Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 153-162.
    2. Shi, Chong-Xiao & Yang, Guang-Hong, 2018. "Robust consensus control for a class of multi-agent systems via distributed PID algorithm and weighted edge dynamics," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 73-88.
    3. Huo, Xin & Ma, Li & Zhao, Xudong & Zong, Guangdeng, 2020. "Event-triggered adaptive fuzzy output feedback control of MIMO switched nonlinear systems with average dwell time," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    4. Ruikun Zhang & Zhongsheng Hou & Honghai Ji & Chenkun Yin, 2016. "Adaptive iterative learning control for a class of non-linearly parameterised systems with input saturations," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1084-1094, April.
    5. Li, Hongjie & Zhu, Yinglian & jing, Liu & ying, Wang, 2018. "Consensus of second-order delayed nonlinear multi-agent systems via node-based distributed adaptive completely intermittent protocols," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 1-15.
    6. Jiaxi Chen & Junmin Li, 2018. "Fuzzy adaptive iterative learning coordination control of second-order multi-agent systems with imprecise communication topology structure," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(3), pages 546-556, February.
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