An improved PCA scheme for sensor FDI: Application to an air quality monitoring network

In this paper a sensor fault detection and isolation procedure based on principal component analysis (PCA) is proposed to monitor an air quality monitoring network. The PCA model of the network is optimal with respect to a reconstruction error criterion. The sensor fault detection is carried out in various residual subspaces using a new detection index. For our application, this index improves the performance compared to classical detection index SPE. The reconstruction approach allows, on one hand, to isolate the faulty sensors and, on the other hand, to estimate the fault amplitudes.

[1]  Theodora Kourti,et al.  Multivariate SPC Methods for Process and Product Monitoring , 1996 .

[2]  Weihua Li,et al.  Isolation enhanced principal component analysis , 1999 .

[3]  S. Qin,et al.  Determining the number of principal components for best reconstruction , 2000 .

[4]  S. Joe Qin,et al.  Statistical process monitoring: basics and beyond , 2003 .

[5]  José Ragot,et al.  Sensor Failure Detection of Air Quality Monitoring Network , 2000 .

[6]  Theodora Kourti,et al.  Process analysis, monitoring and diagnosis, using multivariate projection methods , 1995 .

[7]  Thomas F. Edgar,et al.  Identification of faulty sensors using principal component analysis , 1996 .

[8]  S. Qin,et al.  Selection of the Number of Principal Components: The Variance of the Reconstruction Error Criterion with a Comparison to Other Methods† , 1999 .

[9]  Weihua Li,et al.  Recursive PCA for adaptive process monitoring , 1999 .

[10]  Paul M. Frank,et al.  Analytical and Qualitative Model-based Fault Diagnosis - A Survey and Some New Results , 1996, Eur. J. Control.

[11]  Csilla Bányász,et al.  Fault detection, supervision, and safety for technical processes 2000 (SAFEPROCESS 2000) : a proceedings volume from the 4th IFAC symposium, Budapest, Hungary, 14-16 June, 2000 , 2001 .

[12]  S. Qin,et al.  Self-validating inferential sensors with application to air emission monitoring , 1997 .

[13]  Janos Gertler,et al.  Principal Component Analysis and Parity Relations - A Strong Duality , 1997 .

[14]  José Ragot,et al.  Sensor Fault Detection and Isolation of an Air Quality Monitoring Network Using Nonlinear Principal component Analysis , 2005 .

[15]  G. Box Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-Way Classification , 1954 .