The effect of insufficient excitation in PCA estimation
Tóm tắt
Linear relations external to the monitored plant, such as ratio-control, feedback or upstream constraints, make the data non-persistently exciting for the identification of the plant model. The effect of such external relations is studied on the PCA estimation of linear static models, and compared to LS estimation. Also, ways to detect the presence of such relations in the PCA framework are suggested. The results are extended to persistency and order/degree estimation in linear dynamic and polynomial static models.
Từ khóa
#Principal component analysis #Input variables #Fault diagnosis #Least squares methods #Polynomials #Actuators #Data engineering #Computerized monitoring #Fault detection #GoldTài liệu tham khảo
piovoso, 1992, Monitoring process performance in real time, Amer Control Conf Chicago, 2359
10.1016/0959-1524(96)00009-1
ljung, 1987, System Identification Theory for the User
macgregor, 1989, Multivariate statistical methods for monitoring large datasets from chemical processes, AIChE Meeting San Francisco
10.1016/S0959-1524(00)00041-X
ljung, 1999, System Identification Theory for the User 2nd Edition
10.1016/0169-7439(95)00076-3
1995, Chemometrics and Intelligent Laboratory Systems, 30, 179, 10.1016/0169-7439(95)00076-3
jollife, 1986, Principal Component Analysis, 10.1007/978-1-4757-1904-8
10.1002/cjce.5450690105
10.1016/S0959-1524(02)00016-1
fang, 1988, Process Identification
10.2307/2287575
cao, 2001, Noise-induced bias in PCA modeling of linear system, American Control Conference Arlington VA USA
10.1109/TAC.1974.1100705
huang, 1999, Fault isolation by partial PCA and NLPCA, IFAC World Congress Beijing, o, 545
gertler, 2000, Structured partial principal component analysis: Extension to polynomial nonlinearities, IFAC Safeprocess Symposium Budapest Hungary
10.1002/aic.690450213
gertler, 1998, Fault Detection and Diagnosis in Engineering Systems
gertler, 1997, Principal component analysis and parity relations-a strong duality, IFAC SAFEPROCESS Hull UK, 2, 837
10.1016/S0959-1524(99)00062-1
gilbert, 1995, Linear Algebra and Matrix Theory
