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A fault detection and isolation filter for discrete linear systems.

L Giovanini1, R Dondo

  • 1Universidad Tecnológica Nacional-Facultad Regional Villa Maria, Avenida Universidad 450, (5900) Villa María (Córdoba), Argentina. lgiovani@topmail.com.ar

ISA Transactions
|October 30, 2003
PubMed
Summary

This study presents a new strategy for detecting and isolating faults and abrupt disturbances in discrete linear systems. The method uses a specially structured Kalman filter to isolate effects of specific faults or disturbances.

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Area of Science:

  • Control Systems Engineering
  • Signal Processing
  • System Identification

Background:

  • Fault detection and isolation (FDI) is crucial for the reliable operation of discrete linear systems.
  • Existing FDI methods often struggle with isolating multiple simultaneous faults or disturbances.
  • Extending continuous-time domain solutions to discrete-time systems presents unique challenges.

Purpose of the Study:

  • To develop and present a novel strategy for fault and/or abrupt disturbance detection and isolation (FDI) in discrete linear systems.
  • To adapt a known continuous-time domain FDI approach for application in discrete-time systems.
  • To ensure the proposed method effectively isolates individual faults/disturbances while minimizing interference from others and noise.

Main Methods:

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  • The core of the strategy involves a modified Kalman filter with a specific structure.
  • This Kalman filter generates a residuals vector, where each element is designed to correspond to a particular fault or disturbance.
  • Stability and convergence conditions for the proposed algorithm are theoretically analyzed.

    • Main Results:

    • The developed Kalman filter effectively generates a residuals vector for fault and disturbance isolation.
    • Each residual vector element is specifically linked to a single fault or disturbance.
    • The method demonstrates minimization of the impact of other faults, disturbances, and measurement noise on individual residual elements.

    Conclusions:

    • The proposed strategy successfully extends continuous-time FDI techniques to discrete linear systems.
    • The structured Kalman filter provides an effective mechanism for fault and disturbance detection and isolation.
    • The method shows promise for enhancing the robustness and reliability of discrete control systems.