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Volume 8 Issue 10
Oct.  2021

IEEE/CAA Journal of Automatica Sinica

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Le Wang, Jianxiang Xi, Bo Hou and Guangbin Liu, "Limited-Budget Consensus Design and Analysis for Multiagent Systems With Switching Topologies and Intermittent Communications," IEEE/CAA J. Autom. Sinica, vol. 8, no. 10, pp. 1724-1736, Oct. 2021. doi: 10.1109/JAS.2021.1004000
Citation: Le Wang, Jianxiang Xi, Bo Hou and Guangbin Liu, "Limited-Budget Consensus Design and Analysis for Multiagent Systems With Switching Topologies and Intermittent Communications," IEEE/CAA J. Autom. Sinica, vol. 8, no. 10, pp. 1724-1736, Oct. 2021. doi: 10.1109/JAS.2021.1004000

Limited-Budget Consensus Design and Analysis for Multiagent Systems With Switching Topologies and Intermittent Communications

doi: 10.1109/JAS.2021.1004000
Funds:  This work was supported by the National Natural Science Foundation of China (62003363, 61703411), China Postdoctoral Science Foundation (271004), Science Foundation for Distinguished Youth of Shaanxi Province (2021JC-35), and Youth Science Foundation of Shaanxi Province (2021JQ-375)
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  • This paper investigates limited-budget consensus design and analysis problems of general high-order multiagent systems with intermittent communications and switching topologies. The main contribution of this paper is that the trade-off design between the energy consumption and the consensus performance can be realized while achieving leaderless or leader-following consensus, under constraints of limited budgets and intermittent communications. Firstly, a new intermittent limited-budget consensus control protocol with a practical trade-off design index is proposed, where the total budget of the whole multiagent system is limited. Then, leaderless limited-budget consensus design and analysis criteria are derived, in which the matrix variables of linear matrix inequalities are determined according to the total budget and the practical trade-off design parameters. Meanwhile, an explicit formulation of the consensus function is derived to describe the consensus state trajectory of the whole system. Moreover, a new two-stage transformation strategy is utilized for leader-following cases, by which the dynamics decomposition of leaderless and leader-following cases can be converted into a unified framework, and sufficient conditions of the leader-following limited-budget consensus design and analysis are determined via those of the leaderless cases. Finally, numerical simulations are given to illustrate theoretical results.

     

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    Highlights

    • The practical trade-off design between energy consumptions and consensus performances is realized with a limited total budget.
    • The impacts of both switching topologies and intermittent communications are considered in consensus design and analysis.
    • The leaderless and leader-following consensus are achieved in a unified framework.

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