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    Summary

    This study introduces a novel dynamic event-triggered control method for flexible riser systems modeled by partial differential equations (PDEs). The approach optimizes control inputs and reduces vibrations, enhancing system performance and computational efficiency.

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    Area of Science:

    • Engineering
    • Control Systems
    • Applied Mathematics

    Background:

    • Flexible riser systems are often modeled using partial differential equations (PDEs), presenting complex time-space coupling challenges.
    • Implementing dynamic event-triggered mechanisms (DETMs) for these systems is difficult due to their inherent characteristics.
    • Existing control methods may face limitations in optimizing control inputs and managing vibrations.

    Purpose of the Study:

    • To develop a novel dynamic event-triggered control method for PDE-based flexible riser systems.
    • To optimize control inputs and reduce computational costs.
    • To address boundary position vibrations and external disturbances effectively.

    Main Methods:

    • A novel dynamic event-triggered adaptive boundary controller is designed for flexible riser systems.
    • An adaptive bounded compensation term is incorporated to counteract external disturbances.
    • A new integral barrier Lyapunov function (iBLF) is introduced to manage boundary position constraints and reduce controller conservatism.

    Main Results:

    • The proposed dynamic event-triggered control method effectively reduces boundary position vibrations in flexible risers.
    • Computational costs from controller to actuator are saved.
    • The controller design demonstrates reduced conservatism for PDE-modeled flexible risers.
    • External disturbances are effectively counteracted by the adaptive compensation term.

    Conclusions:

    • The novel dynamic event-triggered adaptive boundary control method is effective for flexible riser systems modeled by PDEs.
    • The approach successfully optimizes control inputs, reduces vibrations, and handles disturbances.
    • The integral barrier Lyapunov function alleviates conservatism in controller design, validated by simulation.