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Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
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Enhancement-mode MOSFETs are pivotal components in electronics, distinguished by their capacity to act as highly efficient switches. They are part of the larger family of metal-oxide Semiconductor Field-Effect Transistors (MOSFETs). They are available in two types: p-channel and n-channel, each tailored to specific polarity operations.
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Switching behavior in Bipolar Junction Transistors (BJTs) is a fundamental aspect utilized in various electronic circuits, particularly for digital logic applications like switches and amplifiers. In a typical switching circuit, a BJT alternates between cut-off and saturation modes, corresponding to the "off" and "on" states, respectively, thus behaving like an ideal switch.
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A clamper circuit, also known as a DC restorer, represents a specialized variant of the rectifier circuit, notable for its method of taking the output across the diode rather than the capacitor. This configuration lends to several distinctive applications, particularly in handling square wave inputs.
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Event-Triggered Nonsingular Terminal Sliding-Mode Control.

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    This study introduces event-triggered nonsingular terminal sliding-mode control (TSMC) for nonlinear systems. A dynamic approach reduces control events while ensuring system stability and performance, avoiding Zeno behavior.

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    Area of Science:

    • Control Systems Engineering
    • Nonlinear Dynamics
    • Robotics

    Background:

    • Sliding-mode control (SMC) is effective for nonlinear systems but can be communication-intensive.
    • Event-triggered control strategies aim to reduce communication load by updating controllers only when necessary.
    • Nonsingular terminal sliding-mode control (TSMC) offers faster convergence and finite-time stability compared to traditional SMC.

    Purpose of the Study:

    • To develop and analyze event-triggered nonsingular terminal sliding-mode control (TSMC) for nonlinear systems.
    • To compare the performance of static and dynamic event-triggering mechanisms in TSMC.
    • To ensure the stability and absence of Zeno behavior in the proposed control strategies.

    Main Methods:

    • Implementation of a static event-triggering mechanism for TSMC.
    • Development of a dynamic event-triggering mechanism utilizing internal system variables for TSMC.
    • Mathematical analysis to prove convergence to a quasi-sliding-mode band and steady-state bounds.
    • Verification of the absence of Zeno behavior for both static and dynamic event-triggered systems.

    Main Results:

    • The static event-triggered TSMC ensures the sliding variable reaches a quasi-sliding-mode band and states converge to an equilibrium neighborhood.
    • The dynamic event-triggered TSMC reduces the number of control updates compared to the static approach.
    • Both methods maintain the same upper bounds for quasi-sliding-mode and steady states.
    • Simulation results confirm the effectiveness of the proposed event-triggered TSMC strategies.

    Conclusions:

    • Event-triggered TSMC is a viable approach for controlling nonlinear systems efficiently.
    • Dynamic event-triggering offers advantages in reducing communication load over static methods.
    • The proposed control strategies are robust and free from Zeno behavior, demonstrating practical applicability.