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Event-Triggered Consensus of Linear Multiagent Systems With Time-Varying Communication Delays.

Chao Deng, Meng Joo Er, Guang-Hong Yang

    IEEE Transactions on Cybernetics
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    Summary
    This summary is machine-generated.

    This study addresses event-triggered consensus in linear multiagent systems with time-varying delays. A novel controller ensures stability despite nonuniform delays, demonstrating effective consensus achievement.

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    Area of Science:

    • Control Systems Engineering
    • Networked Systems
    • Robotics

    Background:

    • Consensus control is crucial for coordinating multiagent systems.
    • Existing methods often struggle with time-varying communication delays.
    • Nonuniform delays can lead to system desynchronization.

    Purpose of the Study:

    • To develop an event-triggered consensus strategy for linear multiagent systems.
    • To address the challenge of general nonuniform time-varying communication delays.
    • To ensure system stability and achieve consensus despite asynchronous communication.

    Main Methods:

    • Design of a novel periodic switching controller to manage nonuniform delays.
    • Modeling the consensus error system as a periodic switching system.
    • Application of Lyapunov stability theory and dwell-time analysis for stability derivation.

    Main Results:

    • The proposed controller effectively handles nonuniform time-varying communication delays.
    • Exponential stability of the consensus error system is rigorously proven.
    • The developed method ensures successful event-triggered consensus achievement.

    Conclusions:

    • The novel periodic switching controller provides a robust solution for event-triggered consensus.
    • The method is effective even with complex, nonuniform communication delays.
    • An illustrative example validates the practical applicability and effectiveness of the approach.