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    This study introduces impulsive edge event-triggered control for multi-agent systems (MASs) with nonlinear dynamics. This novel approach enhances robustness and reduces communication costs while ensuring consensus and eliminating Zeno-behavior.

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    Area of Science:

    • Control Theory
    • Systems Engineering
    • Robotics

    Background:

    • Multi-agent systems (MASs) often face challenges with nonlinear dynamics and communication constraints.
    • Existing control strategies like impulsive, event-triggered, and sampled-data control have limitations.
    • Achieving consensus in MASs while minimizing communication overhead is a critical research area.

    Purpose of the Study:

    • To develop and analyze a novel control strategy called "impulsive edge event-triggered control" for MASs with nonlinear dynamics.
    • To investigate consensus protocols for MASs with and without a leader agent.
    • To demonstrate the robustness, reduced communication cost, and Zeno-behavior elimination of the proposed control method.

    Main Methods:

    • Development of two types of impulsive protocols for consensus in MASs.
    • Implementation of an edge event-triggered technique for agent communication and controller updates.
    • Utilization of Lyapunov function approach and stability theory of impulsive control for theoretical analysis.
    • Combination of impulsive control and edge event-triggered control into a unified framework.

    Main Results:

    • The proposed impulsive edge event-triggered control guarantees consensus in MASs under certain conditions.
    • The rate of convergence for consensus can be exponentially estimated.
    • The control strategy exhibits good robustness against disturbances.
    • Communication costs are significantly reduced compared to traditional methods.
    • Zeno-behavior is effectively eliminated, easing the burden on event detectors.

    Conclusions:

    • Impulsive edge event-triggered control is a viable and effective strategy for achieving consensus in nonlinear MASs.
    • The method offers significant advantages in terms of robustness, communication efficiency, and practical implementation.
    • Theoretical analysis and simulations confirm the effectiveness and performance of the proposed control approach.