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Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
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Fault detection for T-S fuzzy time-delay systems: delta operator and input-output methods.

Hongyi Li, Yabin Gao, Ligang Wu

    IEEE Transactions on Cybernetics
    |June 12, 2014
    PubMed
    Summary

    This study presents a novel fault detection method for Takagi-Sugeno fuzzy systems with time-varying delays using the delta operator. The approach ensures system stability and disturbance rejection, offering effective fault identification.

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    Area of Science:

    • Control Systems Engineering
    • Fuzzy Logic Systems
    • Nonlinear System Analysis

    Background:

    • Takagi-Sugeno fuzzy systems are widely used for modeling complex nonlinear dynamics.
    • Fault detection in these systems is crucial for safety and reliability, especially with time-varying delays.
    • Existing methods often struggle with the complexities introduced by time-varying delays.

    Purpose of the Study:

    • To develop an effective fault detection strategy for Takagi-Sugeno fuzzy systems with time-varying delays.
    • To convert the fault detection problem into a robust filtering problem using the delta operator approach.
    • To ensure asymptotic stability and prescribed H-infinity disturbance attenuation for the fault detection system.

    Main Methods:

    • Approximation of time-varying delays using a two-term approximation method.
    • Construction of a fuzzy augmented fault detection system in the delta-domain.
    • Application of the scaled small gain theorem and a Lyapunov-Krasovskii functional for stability analysis.
    • Derivation of a solvability condition for the fault detection filter.

    Main Results:

    • A sufficient condition for asymptotic stability with H-infinity disturbance attenuation is derived.
    • A method for designing the fault detection filter is established.
    • The filter design is reduced to solving a convex optimization problem, ensuring feasibility.

    Conclusions:

    • The proposed delta operator-based fault detection method is effective for Takagi-Sugeno fuzzy systems with time-varying delays.
    • The method guarantees system stability and robust performance against disturbances.
    • A numerical example validates the feasibility and effectiveness of the developed approach.