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Intermittent observer-based consensus control for multi-agent systems with switching topologies

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  • Xiaole Xu
  • Lixin Gao

Abstract

In this paper, we focus on the consensus problem for leaderless and leader–followers multi-agent systems with periodically intermittent control. The dynamics of each agent in the system is a linear system, and the interconnection topology among the agents is assumed to be switching. We assume that each agent can only share the outputs with its neighbours. Therefore, a class of distributed intermittent observer-based consensus protocols are proposed for each agent. First, in order to solve this problem, a parameter-dependent common Lyapunov function is constructed. Using this function, we prove that all agents can access a prescribed value, under the designed intermittent controller and observer, if there are suitable conditions on communication. Second, based on the investigation of the leader-following consensus problem, we design a new distributed intermittent observer-based protocol for each following agent. Finally, we provide an illustrative example to verify the effectiveness of the proposed approach.

Suggested Citation

  • Xiaole Xu & Lixin Gao, 2016. "Intermittent observer-based consensus control for multi-agent systems with switching topologies," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(8), pages 1891-1904, June.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1891-1904
    DOI: 10.1080/00207721.2014.958119
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    References listed on IDEAS

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    1. Hu, Jiangping & Hong, Yiguang, 2007. "Leader-following coordination of multi-agent systems with coupling time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 853-863.
    2. Wei Ni & Chun Xiong & Jie Yang, 2013. "Leader-following consensus of high-order multi-agent linear systems with bounded transmission channels," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(9), pages 1711-1725.
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