Journal of Hebei University(Natural Science Edition) >

2024 , Vol. 44 >Issue 1: 104 - 112

DOI: https://doi.org/10.3969/j.issn.1000-1565.2024.01.013

Leader-follower consensus of mixed-order heterogeneous multi-agent systems

  • GAO Linqing ,
  • WANG Chao ,
  • HA Dengzhe ,
  • GENG Hua ,
  • HOU Shuai
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  • 1. School of Water Conservancy and Hydroelectric Power, Hebei University of Engineering, Handan 056038, China; 2. School of Information and Electrical Engineering, Hebei University of Engineering, Handan 056038, China; 3. School of Civil Engineering, Tianjin University, Tianjin 300350, China

Received date: 2022-09-22

  Online published: 2024-03-15

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Abstract

The mixed-order heterogeneous multi-agent systems are composed of a static leader and a first-order, second-order and third-order integrator follower. Firstly, under the condition of undirected and directed communication networks, the consistency protocols are proposed by using the method of designing linear filters. Secondly, the feasibility of the protocol is proved based on Lyapunov direct method, Russell invariant set principle and matrix theory. Finally, the validity of the conclusions is verified by two simulation examples.

Key words： multi-agent systems; mixed-order; undirected network; directed network; linear filter

Cite this article

GAO Linqing , WANG Chao , HA Dengzhe , GENG Hua , HOU Shuai . Leader-follower consensus of mixed-order heterogeneous multi-agent systems[J]. Journal of Hebei University(Natural Science Edition), 2024 , 44(1) : 104 -112 . DOI: 10.3969/j.issn.1000-1565.2024.01.013

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