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    This study presents a robust nonfragile consensus controller for nonlinear multiagent systems (MASs) facing disturbances and network changes. The method ensures system stability despite controller gain perturbations and switching networks.

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    Area of Science:

    • Control Theory
    • Networked Systems
    • Nonlinear Dynamics

    Background:

    • Multiagent systems (MASs) are crucial for distributed tasks.
    • Achieving consensus in MASs is challenging due to external disturbances and network uncertainties.
    • Robust and nonfragile control is essential for reliable MAS operation.

    Purpose of the Study:

    • To investigate robust nonfragile leaderless consensus control for nonlinear MASs.
    • To address challenges posed by controller gain perturbations, external interferences, and switching directed networks.
    • To develop a novel distributed nonfragile consensus controller.

    Main Methods:

    • A novel distributed nonfragile consensus controller was designed.
    • The consensus control problem was converted to an asymptotic stability control problem using variable substitutions based on Laplacian matrix properties.
    • Lyapunov stability theory and algebraic graph theory were employed to derive stability conditions.

    Main Results:

    • A sufficient condition for asymptotic stability of MASs was proposed and proven.
    • The controller demonstrated robustness against controller gain perturbations and switching networks.
    • The effectiveness of the proposed method was validated through a simulation example.

    Conclusions:

    • The developed distributed nonfragile consensus controller ensures the asymptotic stability of nonlinear MASs.
    • The proposed method provides a robust solution for consensus control in the presence of significant system uncertainties.
    • The findings contribute to the advancement of reliable control strategies for complex multiagent systems.