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Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
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    This study presents output-feedback control for asynchronous switched Takagi-Sugeno (T-S) fuzzy systems. The proposed methods ensure system stabilization using Lyapunov stability and average-dwell time theories.

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    Area of Science:

    • Control Systems Engineering
    • Fuzzy Logic Systems
    • Nonlinear Control Theory

    Background:

    • Switched systems present challenges due to mode transitions.
    • Takagi-Sugeno (T-S) fuzzy models offer a framework for nonlinear system representation.
    • Asynchronous switching between system and controller modes complicates control design.

    Purpose of the Study:

    • To design output-feedback control schemes for switched continuous-time T-S fuzzy systems.
    • To address the challenge of asynchronous switching between system and controller modes.
    • To ensure the stabilization of the closed-loop switched fuzzy control system.

    Main Methods:

    • Utilizing the parallel distributed compensation (PDC) design method.
    • Developing state observers for both measurable and immeasurable premise variables.
    • Applying Lyapunov stability theory and average-dwell time (ADT) methods.

    Main Results:

    • Sufficient conditions for switched control system stabilization are derived.
    • Controller and observer gains are determined using a two-step approach.
    • The effectiveness of the proposed control strategies is validated through a numerical example.

    Conclusions:

    • The developed output-feedback control schemes effectively stabilize switched T-S fuzzy systems with asynchronous switching.
    • The proposed methods provide a systematic way to design controllers and observers for complex fuzzy systems.
    • The numerical example demonstrates the practical applicability and performance of the control approaches.