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Quantised consensus of multi-agent systems with nonlinear dynamics

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  • Yunru Zhu
  • Yuanshi Zheng
  • Long Wang

Abstract

This paper studies the consensus problem of first-order and second-order multi-agent systems with nonlinear dynamics and quantised interactions. Continuous-time and impulsive control inputs are designed for the multi-agent systems on the logarithmic quantised relative state measurements of agents, respectively. By using nonsmooth analysis tools, we get some sufficient conditions for the consensus of multi-agent systems under the continuous-time inputs. Compared with continuous-time control inputs, impulsive distributed control inputs just use the state variables of the systems at discrete-time instances. Based on impulsive control theory, we prove that the multi-agent systems can reach consensus by choosing proper control gains and impulsive intervals. The simulation results are given to verify the effectiveness of the theoretical results.

Suggested Citation

  • Yunru Zhu & Yuanshi Zheng & Long Wang, 2015. "Quantised consensus of multi-agent systems with nonlinear dynamics," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(11), pages 2061-2071, August.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:2061-2071
    DOI: 10.1080/00207721.2013.849770
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    Cited by:

    1. Jian, Long & Hu, Jiangping & Wang, Jun & Shi, Kaibo, 2019. "Observer-based output feedback distributed event-triggered control for linear multi-agent systems under general directed graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Jian, Long & Hu, Jiangping & Wang, Jun & Shi, Kaibo, 2019. "Distributed event-triggered protocols with Kx-functional observer for leader-following multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).

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