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    This study addresses optimal tracking for multiagent systems with unreliable communications. Agents achieve consensus on optimal formation control despite asynchronous and intermittent communication, ensuring stability and convergence.

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    Area of Science:

    • Control Systems Engineering
    • Distributed Systems
    • Optimization Theory

    Background:

    • Multiagent systems face challenges in achieving coordinated control under dynamic and unreliable communication networks.
    • Optimal formation tracking requires agents to simultaneously satisfy individual objectives and global constraints.

    Purpose of the Study:

    • To investigate distributed output formation optimal tracking for multiagent systems with time-varying topologies and asynchronous, intermittent communications.
    • To develop a control protocol ensuring agents converge to an optimal reference signal.

    Main Methods:

    • Designed an asynchronous distributed estimator-based tracking control protocol.
    • Utilized constrained stochastic subgradient random projection and Lyapunov stability theory.
    • Established sufficient conditions for asymptotic convergence.

    Main Results:

    • Agents collaboratively compute and track an optimal output formation reference minimizing a global objective function.
    • The optimal reference satisfies global constraints, including local nonlinear inequalities and closed convex sets.
    • Demonstrated asymptotic convergence of constrained agent states to the optimal reference using only local information.

    Conclusions:

    • The proposed control protocol effectively achieves optimal formation tracking in multiagent systems under challenging communication conditions.
    • Theoretical results are validated through a numerical example, confirming the robustness and applicability of the approach.