A measurement-based technique for incipient anomaly detection

Fault detection is essential for safe operation of various engineering systems. Principal component analysis (PCA) has been widely used in monitoring highly correlated process variables. Conventional PCA-based methods, nevertheless, often fail to detect small or incipient faults. In this paper, we develop new PCA-based monitoring charts, combining PCA with multivariate memory control charts, such as the multivariate cumulative sum (MCUSUM) and multivariate exponentially weighted moving average (MEWMA) monitoring schemes. The multivariate control charts with memory are sensitive to small and moderate faults in the process mean, which significantly improves the performance of PCA methods and widen their applicability in practice. Using simulated data, we demonstrate that the proposed PCA-based MEWMA and MCUSUM control charts are more effective in detecting small shifts in the mean of the multivariate process variables, and outperform the conventional PCA-based monitoring charts.

[1]  H. Hotelling Analysis of a complex of statistical variables into principal components. , 1933 .

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

[3]  J. E. Jackson,et al.  Control Procedures for Residuals Associated With Principal Component Analysis , 1979 .

[4]  Douglas C. Montgomery,et al.  Statistical process monitoring with principal components , 1996 .

[5]  Farid Kadri,et al.  Improved principal component analysis for anomaly detection: Application to an emergency department , 2015, Comput. Ind. Eng..

[6]  Mu Zhu,et al.  Automatic dimensionality selection from the scree plot via the use of profile likelihood , 2006, Comput. Stat. Data Anal..

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

[8]  A. J. Morris,et al.  Multivariate Statistical Process Control in Chemicals Manufacturing , 1997 .

[9]  H. Abdi,et al.  Principal component analysis , 2010 .

[10]  Elaine B. Martin,et al.  Model selection for partial least squares regression , 2002 .

[11]  Theodora Kourti,et al.  Statistical Process Control of Multivariate Processes , 1994 .

[12]  Fouzi Harrou,et al.  Anomaly detection/detectability for a linear model with a bounded nuisance parameter , 2014, Annu. Rev. Control..

[13]  Jeffrey E. Jarrett,et al.  Multivariate statistical quality control , 2013 .

[14]  R. Crosier Multivariate generalizations of cumulative sum quality-control schemes , 1988 .

[15]  Raghunathan Rengaswamy,et al.  A review of process fault detection and diagnosis: Part III: Process history based methods , 2003, Comput. Chem. Eng..

[16]  D. Hawkins Multivariate quality control based on regression-adjusted variables , 1991 .

[17]  Fred Spiring,et al.  Introduction to Statistical Quality Control , 2007, Technometrics.

[18]  Charles W. Champ,et al.  A multivariate exponentially weighted moving average control chart , 1992 .

[19]  Heng Tao Shen,et al.  Principal Component Analysis , 2009, Encyclopedia of Biometrics.

[20]  Richard D. Braatz,et al.  Fault Detection and Diagnosis in Industrial Systems , 2001 .

[21]  Ronald B. Crosier,et al.  A new two-sided cumulative sum quality control scheme , 1986 .

[22]  Edgar Santos-Fernndez Multivariate Statistical Quality Control Using R , 2012 .

[23]  Ahmet Palazoglu,et al.  Introduction to Process Control , 2005 .

[24]  Kevin M. Bodden,et al.  A Program for Approximating the In-Control ARL for the MEWMA Chart , 1999 .

[25]  Zheng Chen,et al.  Fault Detection of Drinking Water Treatment Process Using PCA and Hotelling's T2 Chart , 2009 .

[26]  M. Nounou,et al.  Statistical Detection of Abnormal Ozone Levels Using Principal Component Analysis , 2012 .

[27]  Jianbo Yu,et al.  Fault Detection Using Principal Components-Based Gaussian Mixture Model for Semiconductor Manufacturing Processes , 2011, IEEE Transactions on Semiconductor Manufacturing.

[28]  Hazem Nounou,et al.  PLS-based EWMA fault detection strategy for process monitoring , 2015 .