Global Advanced Research Journal of Agricultural Science (GARJAS) ISSN: 2315-5094
October 2015 Vol. 4(10): pp. 711-724
Copyright © 2015 Global Advanced Research Journals


Full Length Research Paper

Nonlinear Fuzzy Robust PCA for Fault Detection of Environmental Processes

Majdi Mansouria, Marie-France Destainb, Hazem Nounoua, Mohamed Nounouc


a Electrical and Computer Engineering Program, Texas A&M University at Qatar, Doha, Qatar,

b University of Liege - Gembloux Agro-Bio Tech Faculty Department of Biosystems Engineering, Gembloux, Belgium.

c Chemical Engineering Program, Texas A&M University at Qatar, Doha, Qatar.

*Corresponding Author’s E-mail:;

Tel:+974.7773.4583; Fax: +974.4423.0065.

Accepted 20 October, 2015



Fault detection is often utilized for proper operation of environmental processes. In this paper, a nonlinear statistical fault detection using nonlinear fuzzy robust principal component analysis (NFRPCA) -based generalized likelihood ratio test (GLRT) is proposed. The objective of this work is to extend our previous work (Mourad and Bertrand-Krajewski 2002), to achieve further improvements and widen the applicability of the developed method in practice by using the NFRPCA method. It is well known that the principal components are often affected by outliers, thus may not capture the true structure of the data. Therefore data reduction based on PCA becomes unreliable if outliers are present in the data. To relieve the noise sensitivity, to obtain accurate principal components of a data, and to reduce the effective system dimension, we propose to use the nonlinear fuzzy robust principal component analysis. The objective of this paper is to combine the GLRT with NFRPCA model in an attempt to improve the performance of fault detection. GLRT-based NFRPCA is a multivariate statistical method utilized in fault detection. Here the fault detection problem is addressed so that the data are first modeled using the NFRPCA analysis algorithm and then the faults are detected using generalized likelihood ratio test. The data is collected from the crop model data in order to calculate the NFRPCA model, the thresholds and the fault detection indices (Hotelling statistic , Q statistic). It is demonstrated that the performance of faults detection can be improved by combining GLRT and NFRPCA.

Keywords:  Environmental processes, fault detection, Generalized likelihood ratio test, Nonlinear fuzzy robust, Principal component analysis.

Related Articles

Original Research Articles
P. Azinwi Tamfuh, E. Djoufac Woumfo, F.O. Tabi, M. Angue-Abossolo and D. Bitom
Geostatistical modeling and agricultural perspectives of vertisol properties in the Benue Floodplain of North Cameroon
Glo. Adv. Res. J. Agric. Sci. July 2018 Vol: 7(7): - [Abstract] [Full Text - PDF] (1,736 KB)
Basil U. Onwe
Effect of Corporate Social Responsibilities of Banks on Ebonyi State University
Glo. Adv. Res. J. Agric. Sci. December 2014 Vol: 3(12): - [Abstract] [Full Text - PDF] (299 KB)
R. S. Morgan, I. S. Rahim, M. Abd El-Hady
A Comparison of Classification Techniques for the Land Use/ Land Cover Classification
Glo. Adv. Res. J. Agric. Sci. November 2015 Vol: 4(11): - [Abstract] [Full Text - PDF] (6,232 KB)
Joerg Wild and Hind Lebdaoui
Stock Market Performance and Economic Growth in Morocco
Glo. Adv. Res. J. Agric. Sci. May 2014 Vol: 3(5): - [Abstract] [Full Text - PDF] (292 KB)
Avendaño-Arrazate Carlos Hugo, Martínez-Hernández Gregorio, Moreno-Pérez Esaú del C, Sandoval-Esquivez Alfredo, Campos-Rojas Eduardo, Aguirre-Medina Juan F, Cadena-Iñíguez Jorge, Ariza-Flores Rafael.
Morphological Characterization of Mango (Mangiferaindica L.) in Mexico
Glo. Adv. Res. J. Agric. Sci. September 2017 Vol: 6(9): - [Abstract] [Full Text - PDF] (718 KB)
Helmy T. El Zanfaly
Biotechnology Contributions in Sustainable Environmental Development
Glo. Adv. Res. J. Agric. Sci. January 2019 Vol: 8(1): - [Abstract] [Full Text - PDF] (189 KB)

Current Issue

Viewing Options

View Full Article - PDF
Download Full Article - PDF

Search for Articles

Majdi Mansouri on Google Scholar
Majdi Mansouri on Pubmed
Marie-France Destain on Google Scholar
Marie-France Destain on Pubmed
Hazem Nounou on Google Scholar
Hazem Nounou on Pubmed
Mohamed Nounou on Google Scholar
Mohamed Nounou on Pubmed


Viewed 2256
Printed 533
Downloaded 1189
Powered By iPortal Works