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BIBO stability of continuous and discrete -time systems

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Related Experiment Video

Updated: Jun 19, 2026

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

Fault Reconstruction for Continuous-Time Switched Affine Systems With Actuator Faults via an Integrated UIO Approach.

Fang Liao, Yanzheng Zhu, Xudong Zhao

    IEEE Transactions on Cybernetics
    |June 17, 2026
    PubMed
    Summary

    This study presents a novel observer for reconstructing actuator faults in switched affine systems (SASs). The method enables accurate estimation of system states and faults, even with unknown fault bounds, demonstrated in a buck converter.

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    Area of Science:

    • Control Systems Engineering
    • Fault Detection and Diagnosis

    Background:

    • Switched affine systems (SASs) are prevalent in various engineering applications.
    • Actuator faults in these systems pose significant challenges to operational safety and reliability.
    • Existing fault reconstruction methods often have restrictive design constraints.

    Purpose of the Study:

    • To develop a robust fault reconstruction method for continuous-time SASs with unknown bounded actuator faults.
    • To relax design constraints associated with traditional coordinate transformations.
    • To enable simultaneous asymptotic reconstruction of system states and actuator faults.

    Main Methods:

    • Design of a novel TNL interval observer for system output interval estimation.
    • Development of an algebraic relation linking system states and actuator faults.
    • Proposal of an unknown input observer (UIO) integrating Luenberger-like and algebraic schemes.
    • Application of the average dwell time (ADT) switching constraint to mitigate chattering.
    • Derivation of sufficient conditions using multiple Lyapunov functions.

    Main Results:

    • The TNL interval observer successfully provides interval estimates of system outputs.
    • The proposed UIO achieves asymptotic reconstruction of both system states and actuator faults.
    • The ADT constraint effectively prevents high-frequency switching-induced chattering.
    • Sufficient conditions for fault reconstruction are rigorously derived.

    Conclusions:

    • The developed fault reconstruction technique is effective for SASs with actuator faults.
    • The method demonstrates practical applicability and efficiency through a buck converter case study.
    • The approach offers a valuable tool for enhancing the safety and reliability of switched systems.