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    This study introduces an optimized backstepping control for surface vessels, enhancing tracking performance. The novel approach uses actor-critic reinforcement learning to overcome complex system dynamics, achieving effective optimized control.

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    Area of Science:

    • Marine Engineering
    • Control Systems Theory
    • Robotics

    Background:

    • Surface vessel control systems often exhibit complex, nonlinear dynamics.
    • Traditional backstepping control can be challenging to optimize for these systems.
    • Solving the Hamilton-Jacobi-Bellman equation for optimal control is computationally intensive.

    Purpose of the Study:

    • To develop a novel tracking control approach for surface vessels.
    • To integrate optimization principles into the backstepping control design.
    • To address the challenges of optimizing complex vessel dynamics.

    Main Methods:

    • Developed an optimized backstepping (OB) control technique.
    • Modeled surface vessel dynamics in a second-order strict feedback form.
    • Employed an actor-critic reinforcement learning (RL) strategy for virtual and actual controls.

    Main Results:

    • The optimized backstepping approach effectively achieves tracking control.
    • Actor-critic RL successfully optimized both virtual and actual control subsystems.
    • Simulation results validated the proposed control strategy's effectiveness.

    Conclusions:

    • The optimized backstepping control offers a robust solution for surface vessel tracking.
    • Reinforcement learning provides a viable method to overcome complexities in optimization-based control.
    • The proposed method demonstrates superior performance in simulations for surface vessel control.