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Control systems are everywhere in contemporary society, influencing diverse applications from aerospace to automated manufacturing. These systems can be found naturally within biological processes, such as blood sugar regulation and heart rate adjustment in response to stress, as well as in man-made systems like elevators and automated vehicles. A control system is essentially a network of subsystems and processes that collaboratively convert specific inputs into desired outputs.
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    This study introduces a novel dynamic event-triggered impulsive control for nonlinear interconnected systems. The method ensures system stability and performance by applying control only at specific moments, reducing computational load.

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    Area of Science:

    • Control Systems Engineering
    • Nonlinear Dynamics
    • Artificial Intelligence

    Background:

    • Decentralized control is crucial for complex nonlinear interconnected systems (NISs).
    • Traditional event-triggered control (ETC) can still incur significant communication and computation overhead.
    • Impulsive control offers potential for reduced control effort by acting only at discrete instants.

    Purpose of the Study:

    • To develop a decentralized impulsive control strategy for NISs using a dynamic event-triggered mechanism.
    • To design a fuzzy logic system (FLS)-based backstepping controller for impulsive control.
    • To ensure prescribed performance constraints and stability in closed-loop systems.

    Main Methods:

    • A fuzzy logic system (FLS)-based backstepping approach was used to design the impulsive controller.
    • A dynamic event-triggered mechanism was employed to determine impulse instants.
    • Lyapunov stability analysis was utilized to prove system boundedness and performance achievement.
    • The approach was extended to an output-feedback scenario using observer states.

    Main Results:

    • A novel dynamic event-triggered impulsive controller was proposed for NISs.
    • The closed-loop impulsive systems demonstrated hybrid dynamics, nonlinear characteristics, and prescribed performance.
    • Lyapunov analysis confirmed that all closed-loop states remain bounded.
    • Prescribed tracking performance was achieved, with tracking errors converging to a bounded region in finite time.
    • The impulsive control scheme was successfully extended to the output-feedback case.

    Conclusions:

    • The proposed dynamic event-triggered impulsive control scheme effectively manages nonlinear interconnected systems.
    • The FLS-based backstepping approach ensures stability and achieves prescribed performance with reduced control actions.
    • The method offers a viable solution for decentralized control problems with hybrid dynamics and performance constraints.