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Consensus of Nonlinear Multiagent Systems With Grouping Via State-Constraint Impulsive Protocols.

Can Ke, Chuandong Li, Le You

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    This study addresses the consensus problem in nonlinear multiagent systems by introducing novel state-constraint impulsive protocols. The research develops a grouping strategy and control protocols to enhance system efficiency and reduce equipment damage.

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    Area of Science:

    • Control Theory
    • Networked Systems
    • Systems Engineering

    Background:

    • Investigating consensus in nonlinear multiagent systems is crucial for coordinated control.
    • Existing methods may lack efficiency or robustness in complex scenarios.
    • Grouping strategies can optimize communication and performance.

    Purpose of the Study:

    • To address the consensus problem in nonlinear multiagent systems with grouping.
    • To propose novel state-constraint impulsive control protocols.
    • To analyze systems with and without a leader agent.

    Main Methods:

    • Utilizing a judgement strategy for agent grouping.
    • Developing two types of state-constraint impulsive control protocols (partial and full).
    • Applying algebraic graph theory, Lyapunov stability theory, and matrix theory.

    Main Results:

    • Sufficient conditions for achieving consensus in grouped nonlinear multiagent systems are established.
    • The proposed protocols effectively reduce communication costs.
    • The control strategies minimize irreversible damage to equipment.

    Conclusions:

    • The developed theoretical results provide a feasible solution for consensus in nonlinear multiagent systems with grouping.
    • Simulations confirm the effectiveness of the proposed methods.
    • This work contributes to the advancement of coordinated control in complex systems.