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Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
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    Area of Science:

    • Control Theory
    • Nonlinear Systems
    • Adaptive Control

    Background:

    • Addressing control challenges in uncertain high-order pure feedback nonlinear systems (HOPFNSs).
    • Limitations of traditional backstepping methods for complex systems.

    Purpose of the Study:

    • To develop an adaptive event-triggered control law for HOPFNSs.
    • To improve control design efficiency and reduce complexity.

    Main Methods:

    • Proposed a new high-order backstepping method based on high-order fully actuated (HOFA) system approaches.
    • Designed an adaptive event-triggered control law without transforming systems into first-order.

    Main Results:

    • Demonstrated a simpler control structure with greater freedom and ease of implementation.
    • Proved that the controller ensures all system signals remain bounded.
    • Showcased energy savings in signal transmission.

    Conclusions:

    • The proposed high-order backstepping method is effective for adaptive event-triggered control of HOPFNSs.
    • The strategy offers significant advantages in efficiency and reduced design complexity.
    • Simulation results validate the control strategy's effectiveness.