Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Fault detection and isolation with robust principal component analysis
Contributor:
Korbicz, Józef (1951- ) - ed. ; Sauter, Dominique - ed.
Subtitle:
Group publication title:
Abstract:
Principal component analysis (PCA) is a powerful fault detection and isolation method. However, the classical PCA, which is based on the estimation of the sample mean and covariance matrix of the data, is very sensitive to outliers in the training data set. Usually robust principal component analysis is applied to remove the effect of outliers on the PCA model. In this paper, a fast two-step algorithm is proposed. ; First, the objective was to find an accurate estimate of the covariance matrix of the data so that a PCA model might be developed that could then be used for fault detection and isolation. A very simple estimate derived from a one-step weighted variance-covariance estimate is used (Ruiz-Gazen, 1996). This is a "local" matrix of variance which tends to emphasize the contribution of close observations in comparison with distant observations (outliers). ; Second, structured residuals are used for multiple fault detection and isolation. These structured residuals are based on the reconstruction principle, and the existence condition of such residuals is used to determine the detectable faults and the isolable faults. The proposed scheme avoids the combinatorial explosion of faulty scenarios related to multiple faults to be considered. Then, this procedure for outliers detection and isolation is successfully applied to an example with multiple faults.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 18, number 4 (2008) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2008)
Last modified:
Jul 14, 2025
In our library since:
Apr 8, 2024
Number of object content hits:
114
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/88503
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18, number 1 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18, number 2 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18, number 3 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18, number 4 (2008)
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| Edition name | Date |
|---|---|
| Fault detection and isolation with robust principal component analysis | Jul 14, 2025 |
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