Fault Detection Using Canonical Variate Analysis

The system identification method canonical variate analysis (CVA) has attracted much attention from researchers for its ability to identify multivariable state-space models using experimental data. A model identified using CVA can use several methods for fault detection. Two standard methods are investigated in this paper:  the first is based on Kalman filter residuals for the CVA model, the second on canonical variable residuals. In addition, a third method is proposed that uses the local approach for detecting changes in the canonical variable coefficients. The detection methods are evaluated using three simulation examples; the examples consider the effects of feedback control; process nonlinearities; and multivariable, serially correlated data. The simulations consider several types of common process faults, including sensor faults, load disturbances, and process changes. The simulation results indicate that the local approach provides a very sensitive method for detecting process changes that are dif...

[1]  Barry M. Wise,et al.  The process chemometrics approach to process monitoring and fault detection , 1995 .

[2]  A. Negiz,et al.  Statistical monitoring of multivariable dynamic processes with state-space models , 1997 .

[3]  Wallace E. Larimore,et al.  Optimal Reduced Rank Modeling, Prediction, Monitoring and Control using Canonical Variate Analysis , 1997 .

[4]  Christos Georgakis,et al.  Disturbance detection and isolation by dynamic principal component analysis , 1995 .

[5]  Alan S. Willsky,et al.  A survey of design methods for failure detection in dynamic systems , 1976, Autom..

[6]  Ashish Malhotra,et al.  Industrial Applications of Process Fault Detection Approaches , 2000 .

[7]  W. Larimore System Identification, Reduced-Order Filtering and Modeling via Canonical Variate Analysis , 1983, 1983 American Control Conference.

[8]  Anja Vogler,et al.  An Introduction to Multivariate Statistical Analysis , 2004 .

[9]  Frederick W. Faltin,et al.  Statistical Control by Monitoring and Feedback Adjustment , 1999, Technometrics.

[10]  Douglas C. Montgomery,et al.  A review of multivariate control charts , 1995 .

[11]  Julian Morris,et al.  Detection of process model changes in PCA based performance monitoring , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[12]  George E. P. Box,et al.  Statistical process monitoring and feedback adjustment: a discussion , 1992 .

[13]  T. Harris,et al.  Statistical process control procedures for correlated observations , 1991 .

[14]  Richard D. Braatz,et al.  Fault detection in industrial processes using canonical variate analysis and dynamic principal component analysis , 2000 .

[15]  Thomas F. Edgar,et al.  Process Dynamics and Control , 1989 .

[16]  M. Bhaskara Rao,et al.  Model Selection and Inference , 2000, Technometrics.

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

[18]  P. L. Goldsmith,et al.  Cumulative Sum Tests: Theory and Practice , 1969 .

[19]  John F. MacGregor,et al.  Using On‐Line Process Data to Improve Quality: Challenges for Statisticians * , 1997 .

[20]  Janos Gertler,et al.  Fault detection and diagnosis in engineering systems , 1998 .

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