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Outline

Robust model-based fault diagnosis for dynamic systems

2002, Automatica

https://doi.org/10.1016/S0005-1098(01)00290-4

Abstract

A direct approach to design disturbance de-coupled residuals is then required. In this approach, the residual itself is de-coupled from disturbances, however the state estimation error may not be.

FAQs

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What methodologies enhance disturbance decoupling in residual generation?add

The research showcases eigenstructure assignment methods, specifically the orthogonal assignment of left eigenvectors, improving disturbance decoupling by minimizing performance indices.

How does dead-beat design aid in rapid fault isolation?add

Dead-beat design simplifies the disturbance decoupling process, yielding prompt residual responses, crucial for isolating faults effectively.

What limitations exist in designing robust fault detection systems?add

The ability to achieve disturbance decoupling can be restrained by the number of independent disturbances compared to measurements, affecting effective residual generation.

How is the performance of residual generators quantitatively assessed?add

The study determines performance through the steady-state gain matrix G_rf(0), which reflects fault detectability and informs optimization strategies.

What is the significance of residual dimension in fault detection?add

The research emphasizes that the residual dimension must not exceed the output dimension, as excessive components dilute useful diagnostic information.

References (10)

  1. 5.1 Robust FDI design using parametric eigenstructureassignment
  2. 5.1 Robust FDI design using parametric eigenstructureassignment 11/7/2016
  3. 5.2 An illustrative example
  4. 5.2 An illustrative example
  5. 5.2 An illustrative example
  6. 6 Disturbance De-coupling by Assigning Right Eigenvectors 4.6 Disturbance De-coupling by Assigning Right Eigenvectors 11/7/2016
  7. 6 Disturbance De-coupling by Assigning Right Eigenvectors 4.6 Disturbance De-coupling by Assigning Right Eigenvectors 11/7/2016
  8. 7 Dead-Beat Design for Robust Residual Generation Eq.(4.57)holdstruewheneachcolumnof E isassignedasarighteigenvector of A c correspondingtoazero-valuedeigenvalue.
  9. Eq.(4.56)willdeterminetheresidualweightingmatrix Q. Becauseoftheassignmentofzero-valuedeigenvalues,theresidualwillhave dead- beat(minimum-time) transientperformanceandthisfeaturecanbeexploitedto gooduseintheaimtoprovideahighsensitivitytosoft(incipient)faults.
  10. 7 Dead-Beat Design for Robust Residual Generation 11/7/2016