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Distributed Formation Control of Multiple Euler-Lagrange Systems: A Multilayer Framework.

Dongyu Li, Shuzhi Sam Ge, Wei He

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    This study presents a unified framework to solve multilayer formation (MLF) control problems in directed graphs. The new controller simplifies systems by avoiding distributed estimators and acceleration data, ensuring stability.

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    Area of Science:

    • Control Systems Engineering
    • Networked Systems
    • Robotics

    Background:

    • Multilayer formation (MLF) control is crucial for coordinating agents in hierarchical systems.
    • Previous MLF solutions were limited to undirected graphs and often required complex components.
    • Hierarchical agent structures necessitate advanced control strategies for effective information flow.

    Purpose of the Study:

    • To develop a unified framework for solving multilayer formation control problems.
    • To extend existing MLF results from undirected to directed graph topologies.
    • To design a controller that simplifies system complexity and enhances stability.

    Main Methods:

    • A unified control framework was developed for multilayered agent systems.
    • The controller was designed to operate on directed graphs, accommodating arbitrary layers.
    • The approach avoids the use of distributed estimators and acceleration information.

    Main Results:

    • The proposed controller successfully achieves multilayer formation in directed networks.
    • System complexity is alleviated by removing induced discontinuities and required data.
    • Closed-loop errors were proven to be semiglobally uniformly ultimately bounded.

    Conclusions:

    • The unified framework provides an effective solution for MLF control in complex, directed network topologies.
    • The controller's simplified design enhances practical implementation and system robustness.
    • Simulation results validate the proposed method's effectiveness and stability guarantees.