Sensor fault diagnosis of nonlinear processes based on structured kernel principal component analysis

被引:19
作者
Fu K. [1 ,2 ]
Dai L. [2 ]
Wu T. [2 ]
Zhu M. [1 ]
机构
[1] Department of Control Engineering, Chengdu University of Information Technology
[2] National Key Laboratory of Industrial Control Technology, Zhejiang University
来源
Journal of Control Theory and Applications | 2009年 / 7卷 / 3期
关键词
Incidence matrix optimization; Sensor fault diagnosis; Structured KPCA;
D O I
10.1007/s11768-009-7164-9
中图分类号
学科分类号
摘要
A new sensor fault diagnosis method based on structured kernel principal component analysis (KPCA) is proposed for nonlinear processes. By performing KPCA on subsets of variables, a set of structured residuals, i.e., scaled powers of KPCA, can be obtained in the same way as partial PCA. The structured residuals are utilized in composing an isolation scheme for sensor fault diagnosis, according to a properly designed incidence matrix. Sensor fault sensitivity and critical sensitivity are defined, based on which an incidence matrix optimization algorithm is proposed to improve the performance of the structured KPCA. The effectiveness of the proposed method is demonstrated on the simulated continuous stirred tank reactor (CSTR) process. © South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag GmbH 2009.
引用
收藏
页码:264 / 270
页数:6
相关论文
共 10 条
[1]
Gertler J., Li W., Huang Y., Et al., Isolation enhanced principal component analysis[J], AIChE Journal, 45, 2, pp. 323-334, (1999)
[2]
Qin S., Li W., Detection, identification and reconstruction of faulty sensors with maximized sensitivity[J], AIChE Journal, 45, 9, pp. 1963-1976, (1999)
[3]
Qin S., Li W., Detection and identification of faulty sensors in dynamic processes[J], AIChE Journal, 47, 7, pp. 1581-1593, (2001)
[4]
Li W., Shah S., Structured residual vector-based approach to sensor fault detection and isolation[J], Journal of Process Control, 12, 3, pp. 429-443, (2002)
[5]
Huang Y., Gertler J., McAvoy T.J., Sensor and actuator fault isolation by structured partial PCA with nonlinear extensions[J], Journal of Process Control, 10, 5, pp. 459-469, (2000)
[6]
Scholkopf B., Smola A., Muller K., Nonlinear component analysis as a kernel eigenvalue problem[J], Neural Computation, 10, 5, pp. 1299-1319, (1998)
[7]
Choi S.W., Lee C.K., Lee J.M., Et al., Fault detection and identification of nonlinear processes based on Kernel PCA[J], Chemometrics and Intelligent Laboratory Systems, 75, 1, pp. 55-67, (2005)
[8]
Cremers D., Kohlberger T., Schnorr C., Shape statistics in kernel space for variational image segmentation[J], Pattern Recognition, 36, 9, pp. 1929-1943, (2003)
[9]
Parsen E., Estimation of probability density function[J], Annals of Mathematical Statistics, 33, 3, pp. 1065-1076, (1962)
[10]
Luyhen W., Simulation examples[M], Process Modeling, Simulation, and Control for Chemical Engineers, pp. 124-129, (1988)