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    This study presents a new control scheme for autonomous surface vehicles (ASVs) to maintain formation during size scaling. The method ensures collision avoidance and adapts to uncertainties and actuator limits for robust navigation.

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    Area of Science:

    • Robotics
    • Control Systems Engineering
    • Marine Engineering

    Background:

    • Maintaining formation and collision avoidance for autonomous surface vehicles (ASVs) is challenging, especially when transitioning between waterways of different sizes.
    • Scaling formation size while preserving shape is a key strategy for adaptable ASV operations.
    • Existing control methods often struggle with uncertainties and actuator limitations in ASV formations.

    Purpose of the Study:

    • To develop a novel adaptive neural formation scaling control scheme for ASVs.
    • To enable ASVs to scale formation size while maintaining shape and avoiding collisions.
    • To address uncertainties and input saturation in ASV control systems.

    Main Methods:

    • Utilizing bearing rigidity theory to select leader ASVs and program their trajectories for formation scaling.
    • Employing adaptive neural techniques for follower ASVs to track leaders, allowing size adjustments solely by leaders.
    • Simplifying neural network weight updates to one-parameter estimation and introducing auxiliary systems to mitigate actuator limitations.

    Main Results:

    • The proposed scheme achieves the desired formation scaling maneuver for ASVs under infinitesimal bearing rigidity conditions.
    • Formation errors are proven to be uniformly ultimately bounded, ensuring stable control.
    • The method simultaneously satisfies directional, computational, and actuator constraints, outperforming existing approaches.

    Conclusions:

    • The developed bearing-based adaptive neural formation scaling control scheme is effective for ASVs.
    • The approach offers robustness against uncertainties and actuator saturation.
    • This research provides a significant advancement in coordinated control for multi-ASV systems.