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Event-based consensus for third-order nonlinear multi-agent systems

Author

Listed:
  • Xin, Youming
  • Lyu, Huiping
  • Tuo, Huan
  • Cheng, Zunshui

Abstract

Event-based consensus problem of third-order nonlinear multi-agent systems is considered. Event-based controllers are proposed and MASs with event-based controllers are viewed as nonlinear systems with disturbances. By a degenerate transformation, an error system is derived from multi-agent systems, and consensus for multi-agent systems is converted into stability of the error system. Based on Lyapunov theory and Kronecker product method, several sufficient conditions on event-based consensus are obtained. It is shown that multi-agent systems can reach event-based consensus if the trigger parameter is sufficiently small and the control gain is sufficiently large under some simple conditions. Furthermore, the Zeno-behavior of the controllers is abstained. An example is presented to show the effectiveness of the derived results.

Suggested Citation

  • Xin, Youming & Lyu, Huiping & Tuo, Huan & Cheng, Zunshui, 2023. "Event-based consensus for third-order nonlinear multi-agent systems," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    • Handle: RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001704
    DOI: 10.1016/j.chaos.2023.113269
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    References listed on IDEAS

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    1. Jijun Qu & Zhijian Ji & Chong Lin & Haisheng Yu, 2018. "Fast Consensus Seeking on Networks with Antagonistic Interactions," Complexity, Hindawi, vol. 2018, pages 1-15, December.
    2. Long Cheng & Hanlei Wang & Zeng-Guang Hou & Min Tan, 2016. "Reaching a consensus in networks of high-order integral agents under switching directed topologies," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(8), pages 1966-1981, June.
    3. Youming Xin & Yuxia Li, 2016. "Observer-based consensus in networks of discrete-time switched linear dynamics under a fixed topology," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2808-2815, September.
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    Cited by:

    1. Ma, Yajing & Li, Zhanjie & Xie, Xiangpeng & Yue, Dong, 2023. "Adaptive consensus of uncertain switched nonlinear multi-agent systems under sensor deception attacks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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