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Predefined-Time Consensus of Multiagent System: Nonchattering Scheme.

Jie Wu, Jie Chen, Yongzheng Sun

    IEEE Transactions on Cybernetics
    |April 1, 2025
    PubMed
    Summary
    This summary is machine-generated.

    This study achieves predefined-time consensus (PTC) in multiagent systems (MAS) using a novel nonchattering control scheme. The method ensures tunable, explicit settling-time bounds independent of system parameters.

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    Area of Science:

    • Control Systems Engineering
    • Networked Systems
    • Robotics

    Background:

    • Achieving consensus in multiagent systems (MAS) is crucial for coordinated behavior.
    • Traditional finite-time or fixed-time consensus methods have limitations in predictable settling times.
    • Existing schemes often rely on discontinuous control functions, leading to chattering.

    Purpose of the Study:

    • To develop a global predefined-time consensus (PTC) strategy for MAS.
    • To enable tunable and explicit settling-time bounds for consensus.
    • To propose a smooth, nonchattering consensus control scheme.

    Main Methods:

    • Construction of a duplex communication network for the multiagent system.
    • Development of a smooth, nonchattering consensus control algorithm.
    • Utilization of Lyapunov stability analysis to derive consensus conditions.

    Main Results:

    • The proposed method guarantees predefined-time consensus (PTC) for MAS.
    • Settling-time bounds are explicit, tunable constants, independent of initial conditions and system parameters.
    • The nonchattering control scheme effectively avoids issues associated with discontinuous functions.

    Conclusions:

    • The novel nonchattering scheme ensures effective and predictable predefined-time consensus in MAS.
    • This approach offers enhanced control over convergence time compared to traditional methods.
    • Simulations validate the efficacy of the proposed smooth consensus strategy.