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Volume 10 Issue 3
Mar.  2023

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2023  >  10(3): 737-748
C. J. Li and X. F. Zong, “Group hybrid coordination control of multi-agent systems with time-delays and additive noises,” IEEE/CAA J. Autom. Sinica, vol. 10, no. 3, pp. 737–748, Mar. 2023. doi: 10.1109/JAS.2022.105917
Citation: C. J. Li and X. F. Zong, “Group hybrid coordination control of multi-agent systems with time-delays and additive noises,” IEEE/CAA J. Autom. Sinica, vol. 10, no. 3, pp. 737–748, Mar. 2023. doi: 10.1109/JAS.2022.105917
shu

Group Hybrid Coordination Control of Multi-Agent Systems With Time-Delays and Additive Noises

doi: 10.1109/JAS.2022.105917

  • School of Automation, China University of Geosciences, Wuhan 430074, and with Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, and also with the Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, Wuhan 430074, China

Funds:  This work was supported by the National Natural Science Foundation of China (62073305), and the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (CUG170610)
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    Abstract
  • A new kind of group coordination control problem-group hybrid coordination control is investigated in this paper. The group hybrid coordination control means that in a whole multi-agent system (MAS) that consists of two subgroups with communications between them, agents in the two subgroups achieve consensus and containment, respectively. For MASs with both time-delays and additive noises, two group control protocols are proposed to solve this problem for the containment-oriented case and consensus-oriented case, respectively. By developing a new analysis idea, some sufficient conditions and necessary conditions related to the communication intensity between the two subgroups are obtained for the following two types of group hybrid coordination behavior: 1) Agents in one subgroup and in another subgroup achieve weak consensus and containment, respectively; 2) Agents in one subgroup and in another subgroup achieve strong consensus and containment, respectively. It is revealed that the decay of the communication impact between the two subgroups is necessary for the consensus-oriented case. Finally, the validity of the group control results is verified by several simulation examples.

     

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    Highlights

    • A new kind of group coordination control problem——group hybrid coordination control is investigated in this paper. The group hybrid coordination control means that in a whole multi-agent system that consists of two subgroups with communications between them, agents in the two subgroups achieve consensus and containment, respectively
    • Using the semi-decoupled skill and some estimation methods, this work provides a new analysis idea to investigate the group hybrid coordination control problem under time-delays and additive noises. Some sufficient conditions and necessary conditions are obtained for this problem
    • The influence mechanism of the communication impact between the two subgroups on group hybrid coordination control problem of MASs with both time-delays and additive noises is revealed: the decay of the communication impact between the two subgroups is necessary for the consensus-oriented case. This provides hints in the design of control gain functions for the similar group coordination control problem

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