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    Area of Science:

    • Control Systems Engineering
    • Networked Systems
    • Robotics

    Background:

    • Output synchronization is crucial for coordinated behavior in networked systems.
    • Heterogeneous networks with uncertain leaders present significant control challenges.
    • Parameter uncertainties in agents and leader models hinder robust synchronization.

    Purpose of the Study:

    • To develop a novel control scheme for achieving output synchronization in heterogeneous networks with uncertain leaders.
    • To address parameter uncertainties in both nonidentical linear agents and the leader.
    • To ensure robust and reliable synchronization through adaptive and internal model principles.

    Main Methods:

    • A hierarchical communication graph structure is utilized.
    • A novel control scheme incorporating the internal model principle for robustness against parameter uncertainties.
    • Adaptive control principles are employed to tune local controllers due to leader model unavailability.
    • Sequential construction of local controllers, treating upper layers as exosystems for lower layers.

    Main Results:

    • The proposed control scheme guarantees global asymptotic and local exponential output synchronization.
    • The technique effectively handles simultaneous uncertainties in follower and leader parameters.
    • Demonstrated robustness against plant parameter uncertainties via the internal model principle.
    • Adaptive control successfully compensates for the lack of a precise leader model.

    Conclusions:

    • The developed control strategy ensures reliable output synchronization in complex heterogeneous networks.
    • The method's effectiveness is validated through simulation, showcasing its potential.
    • This work provides a robust framework for tackling synchronization problems with uncertainties in networked systems.