Journal of Shanghai Jiaotong University >
Adaptive Process Monitoring of Online Reduced Kernel Principal Component Analysis
Received date: 2021-03-18
Online published: 2022-06-28
In the case of dynamic systems, the traditional kernel principal component analysis (KPCA) method does not perform well. The moving window kernel principal component analysis method can adapt to the normal parameter drift of dynamic systems, but it needs a longer computation time when processing large number of samples. Therefore, an adaptive process monitoring method for online reduced kernel principal component analysis is proposed. In this method, a small training set is selected as the initial reduced set in a large number of samples for modeling, and the online real-time collected data are analyzed to judge whether the new sample is normal or not. If it is a normal sample, the method judges whether the sample is added to the reduced set, and updates the online KPCA model automatically when adding to the reduced set. The proposed method is applied to a numerical example and the Tennessee-Eastman (TE) process. The simulation results show that the proposed method is effective and feasible.
GUO Jinyu, LI Wentao, LI Yuan . Adaptive Process Monitoring of Online Reduced Kernel Principal Component Analysis[J]. Journal of Shanghai Jiaotong University, 2022 , 56(10) : 1397 -1408 . DOI: 10.16183/j.cnki.jsjtu.2021.084
[1] | CHO J H, LEE J M, CHOI S W, et al. Fault identification for process monitoring using kernel principal component analysis[J]. Chemical Engineering Science, 2005, 60(1): 279-288. |
[2] | WANG G, YIN S. Quality-related fault detection approach based on orthogonal signal correction and modified PLS[J]. IEEE Transactions on Industrial Informatics, 2017, 11 (2): 398-405. |
[3] | CHENG C Y, HSU C C, CHEN M C. Adaptive kernel principal component analysis (KPCA) for monitoring small disturbances of nonlinear processes[J]. Industrial & Engineering Chemistry Research, 2011, 49(5): 2254-2262. |
[4] | AMAR M, GONDAL I, WILSON C. Vibration spectrum imaging: A novel bearing fault classification approach[J]. IEEE Transactions on Industrial Electronics, 2015, 62(1): 494-502. |
[5] | COSTA J A, HERO A O. Geodesic entropic graphs for dimension and entropy estimation in manifold learning[J]. IEEE Transactions on Signal Processing, 2004, 52(8): 2210-2221. |
[6] | ZHU J L, GE Z Q, SONG Z H. Distributed parallel PCA for modeling and monitoring of large-scale plant-wide processes with big data[J]. IEEE Transactions on Industrial Informatics, 2017, 13(4): 1877-1885. |
[7] | PENG K, ZHANG K, LI G. Online contribution rate based fault diagnosis for nonlinear industrial processes[J]. Acta Automatica Sinica, 2014, 40 (3): 423-430. |
[8] | 张成, 郭青秀, 李元, 等. 基于主元分析得分重构差分的故障检测策略[J]. 控制理论与应用, 2019, 36(5): 774-782. |
[8] | ZHANG Cheng, GUO Qingxiu, LI Yuan, et al. Fault detection strategy based on difference of score reconstruction associated with principal component analysis[J]. Control Theory & Applications, 2019, 36(5): 774-782. |
[9] | KU W, STORER R H, GEORGAKIS C. Disturbance detection and isolation by dynamic principal component analysis[J]. Chemometrics and Intelligent Laboratory Systems, 1995, 30(1): 179-196. |
[10] | LI W, YUE H H, VALLE C S, et al. Recursive PCA for adaptive process monitoring[J]. Journal of Process Control, 2000, 10(5): 471-486. |
[11] | XIAO W, HUANG X, HE F, et al. Online robust principal component analysis with change point detection[J]. IEEE Transactions on Multimedia, 2020, 22(1): 59-68. |
[12] | CHOI S W, LEE C, LEE J M, et al. Fault detection and identification of nonlinear processes based on kernel PCA[J]. Chemometrics & Intelligent Laboratory Systems, 2005, 75(1): 55-67. |
[13] | 刘春燕, 于春梅. 基于改进核主元分析的TE故障诊断[J]. 计算机测量与控制, 2016, 24 (10): 36-41. |
[13] | LIU Chunyan, YU Chunmei. TE fault diagnosis based on improved kernel principal component analysis[J]. Computer Measurement & Control, 2016, 24 (10): 36-41. |
[14] | GUO J, QI L, LI Y. Fault detection of batch process using dynamic multi-way orthogonal locality preserving projections[J]. Journal of Computational Information Systems, 2015, 11(2): 577-586. |
[15] | HE F, WANG C, FAN S K S. Nonlinear fault detection of batch processes based on functional kernel locality preserving projections[J]. Chemometrics and Intelligent Laboratory Systems, 2018, 183: 79-89. |
[16] | CHANG P, WANG P, GAO X J. Batch process monitoring for microbial fermentation based on multi-way kernel entropy component analysis[J]. Journal of Chemical Engineering of Chinese Universities, 2015, 29(2): 395-399. |
[17] | YANG Y H, LI X L, LIU X Z, et al. Wavelet kernel entropy component analysis with application to industrial process monitoring[J]. Neurocomputing, 2015, 147(5): 395-402. |
[18] | SANG W C, LEE I B. Nonlinear dynamic process monitoring based on dynamic kernel PCA[J]. Chemical Engineering Science, 2004, 59(24): 5897-5908. |
[19] | 谢磊, 王树青. 递归核PCA及其在非线性过程自适应监控中的应用[J]. 化工学报, 2007, 58(7): 1776-1782. |
[19] | XIE Lei, WANG Shuqing. Recursive kernel PCA and its application in adaptive monitoring of nonlinear processes[J]. CIESC Journal, 2007, 58(7): 1776-1782. |
[20] | LIU X, KRUGER U, LITTLER T, et al. Moving window kernel PCA for adaptive monitoring of nonlinear processes[J]. Chemometrics & Intelligent Laboratory Systems, 2009, 96(2): 132-143. |
[21] | CHOUAIB C, MOHAMED-FAOUZI H, MESSAOUD D. New adaptive kernel principal component analysis for nonlinear dynamic process monitoring[J]. Applied Mathematics & Information Sciences, 2015, 9(4): 1833-1845. |
[22] | FAZAI R, TAOUALI O, HARKAT M F, et al. A new fault detection method for nonlinear process monitoring[J]. International Journal of Advanced Manufacturing Technology, 2016, 87(9/10/11/12): 3425-3436. |
[23] | YANG G, GU X. Fault diagnosis of complex chemical processes based on enhanced naive bayesian method[J]. IEEE Transactions on Instrumentation and Measurement, 2020, 69(7): 4649-4658. |
[24] | LEE J M, LEE I B, YOO C K. Fault detection of batch processes using multiway kernel principal component analysis[J]. Computers & Chemical Engineering, 2004, 28 (9): 1837-1840. |
[25] | JAFFEL I, TAOUALI O, HARKAT M F, et al. Kernel principal component analysis with reduced complexity for nonlinear dynamic process monitoring[J]. International Journal of Advanced Manufacturing Technology, 2017, 88(9/10/11/12): 3265-3279. |
[26] | HAMROUNI I, LAHDHIRI H, ABDELLAFOU K B, et al. Fault detection of uncertain nonlinear process using reduced interval kernel principal component analysis (RIKPCA)[J]. International Journal of Advanced Manufacturing Technology, 2020, 106(9/10): 4567-4576. |
[27] | HONEINE P. Approximation errors of online sparsification criteria[J]. IEEE Transactions on Signal Process, 2015, 63 (17): 4700-4709. |
[28] | ISSAM B K, MOHAMED L, CLAUS W. Variable window adaptive kernel principal component analysis for nonlinear nonstationary process monitoring[J]. Computers & Industrial Engineering, 2011, 61(3): 437-446. |
[29] | DOWNS J, VOGEL A. A plant wide industrial process control problem[J]. Computers & Chemical Engineering, 1993, 17(3): 245-255. |
[30] | 郭金玉, 王哲, 李元. 基于核熵独立成分分析的故障检测方法[J]. 化工学报, 2022, 73(8): 3647-3658. |
[30] | GUO Jinyu, WANG Zhe, LI Yuan. Fault detection method based on kernel entropy independent component analysis[J]. CIESC Journal, 2022, 73(8): 3647-3658. |
[31] | ZHONG K, HAN M, QIU T, et al. Fault diagnosis of complex processes using sparse kernel local fisher discriminant analysis[J]. IEEE Transactions on Neural Networks and Learning Systems, 2020, 31(5): 1581-1591. |
[32] | DENG X, TIAN X, CHEN S, et al. Nonlinear process fault diagnosis based on serial principal component analysis[J]. IEEE Transactions on Neural Networks & Learning Systems, 2018, 29(3): 560-572. |
[33] | 林茂, 李颖晖, 朱喜华, 等. 基于改进核主元分析法的三电平逆变器故障检测[J]. 电网技术, 2016, 40(3): 972-977. |
[33] | LIN Mao, LI Yinghui, ZHU Xihua, et al. Fault detection for three-level inverter based on improved kernel principal component analysis method[J]. Power System Technology, 2016, 40(3): 972-977. |
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