Nonlinear Batch Process Monitoring Using Phase-Based Kernel-Independent Component Analysis-Principal Component Analysis (KICA-PCA)

In this article, the statistical modeling and online monitoring of nonlinear batch processes are addressed on the basis of the kernel technique. First, the article analyzes the conventional multiway kernel algorithms, which were just simple and conservative kernel extensions of the original multiway linear methods and thus inherited their drawbacks. Then, an improved nonlinear batch monitoring method is developed. This method captures the changes of the underlying nonlinear characteristics and accordingly divides the whole batch duration into different phases. Then, focusing on each subphase, both nonlinear Gaussian and non-Gaussian features are explored by a two-step modeling strategy usingkernel-independent component analysis−principal component analysis (KICA−PCA). Process monitoring and fault detection can be readily carried out online without requiring the estimation of future process data. Meanwhile, the dynamics of the data are preserved by exploring time-varying covariance structures. The idea and...

[1]  Svante Wold,et al.  Modelling and diagnostics of batch processes and analogous kinetic experiments , 1998 .

[2]  Hyun-Woo Cho Nonlinear feature extraction and classification of multivariate data in kernel feature space , 2007, Expert Syst. Appl..

[3]  Erkki Oja,et al.  Independent component analysis: algorithms and applications , 2000, Neural Networks.

[4]  Zhi-huan Song,et al.  Process Monitoring Based on Independent Component Analysis - Principal Component Analysis ( ICA - PCA ) and Similarity Factors , 2007 .

[5]  Age K. Smilde,et al.  Fault detection properties of global, local and time evolving models for batch process monitoring , 2005 .

[6]  Michael Sjöström,et al.  Chemometrics, present and future success , 1998 .

[7]  ChangKyoo Yoo,et al.  On-line monitoring of batch processes using multiway independent component analysis , 2004 .

[8]  A. J. Morris,et al.  Non-parametric confidence bounds for process performance monitoring charts☆ , 1996 .

[9]  Jin Hyun Park,et al.  Fault detection and identification of nonlinear processes based on kernel PCA , 2005 .

[10]  Ingoo Han,et al.  Extracting underlying meaningful features and canceling noise using independent component analysis for direct marketing , 2007, Expert Syst. Appl..

[11]  Yingwei Zhang,et al.  Fault Detection and Diagnosis of Nonlinear Processes Using Improved Kernel Independent Component Analysis (KICA) and Support Vector Machine (SVM) , 2008 .

[12]  A. J. Morris,et al.  Performance monitoring of a multi-product semi-batch process , 2001 .

[13]  Dong Dong,et al.  Multi-stage batch process monitoring , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[14]  Fuli Wang,et al.  Sub-PCA Modeling and On-line Monitoring Strategy for Batch Processes (R&D Note) , 2004 .

[15]  ChangKyoo Yoo,et al.  On-line Batch Process Monitoring Using Different Unfolding Method and Independent Component Analysis , 2003 .

[16]  Barry M. Wise,et al.  A comparison of principal component analysis, multiway principal component analysis, trilinear decomposition and parallel factor analysis for fault detection in a semiconductor etch process , 1999 .

[17]  Theodora Kourti,et al.  Process analysis, monitoring and diagnosis, using multivariate projection methods , 1995 .

[18]  ChangKyoo Yoo,et al.  Fault detection of batch processes using multiway kernel principal component analysis , 2004, Comput. Chem. Eng..

[19]  ChangKyoo Yoo,et al.  Statistical monitoring of dynamic processes based on dynamic independent component analysis , 2004 .

[20]  Pierre Comon,et al.  Independent component analysis, A new concept? , 1994, Signal Process..

[21]  C. Yoo,et al.  Nonlinear process monitoring using kernel principal component analysis , 2004 .

[22]  Ali Cinar,et al.  Intelligent real-time performance monitoring and quality prediction for batch/fed-batch cultivations. , 2004, Journal of biotechnology.

[23]  John F. MacGregor,et al.  Multi-way partial least squares in monitoring batch processes , 1995 .

[24]  Bart Nicolai,et al.  Kernel PLS regression on wavelet transformed NIR spectra for prediction of sugar content of apple , 2007 .

[25]  Barry Lennox,et al.  Application of multivariate statistical process control to batch operations , 2000 .

[26]  In-Beum Lee,et al.  Fault identification for process monitoring using kernel principal component analysis , 2005 .

[27]  Hyun-Woo Cho,et al.  Identification of contributing variables using kernel-based discriminant modeling and reconstruction , 2007, Expert Syst. Appl..

[28]  Age K. Smilde,et al.  Critical evaluation of approaches for on-line batch process monitoring , 2002 .

[29]  ChangKyoo Yoo,et al.  Statistical process monitoring with independent component analysis , 2004 .

[30]  Nello Cristianini,et al.  An Introduction to Support Vector Machines and Other Kernel-based Learning Methods , 2000 .

[31]  Manabu Kano,et al.  Monitoring independent components for fault detection , 2003 .

[32]  Chunhui Zhao,et al.  Improved Knowledge Extraction and Phase-Based Quality Prediction for Batch Processes , 2008 .

[33]  Junhong Li,et al.  Improved kernel principal component analysis for fault detection , 2008, Expert Syst. Appl..

[34]  Jian Yang,et al.  Kernel ICA: An alternative formulation and its application to face recognition , 2005, Pattern Recognit..

[35]  In-Beum Lee,et al.  Enhanced process monitoring of fed-batch penicillin cultivation using time-varying and multivariate statistical analysis. , 2004, Journal of biotechnology.

[36]  A J Morris,et al.  Enhanced bio-manufacturing through advanced multivariate statistical technologies. , 2002, Journal of biotechnology.

[37]  Aapo Hyvärinen,et al.  Fast and robust fixed-point algorithms for independent component analysis , 1999, IEEE Trans. Neural Networks.

[38]  David J. Sandoz,et al.  The application of principal component analysis and kernel density estimation to enhance process monitoring , 2000 .

[39]  Jesús Picó,et al.  Online monitoring of batch processes using multi-phase principal component analysis , 2006 .

[40]  Jian Yang,et al.  KPCA plus LDA: a complete kernel Fisher discriminant framework for feature extraction and recognition , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[41]  Julian Morris,et al.  The integration of spectroscopic and process data for enhanced process performance monitoring , 2008 .

[42]  X. Wang,et al.  Statistical Process Control Charts for Batch Operations Based on Independent Component Analysis , 2004 .

[43]  Thomas P. Ryan,et al.  Statistical methods for quality improvement , 1989 .

[44]  A. Çinar,et al.  Online batch/fed-batch process performance monitoring, quality prediction, and variable-contribution analysis for diagnosis , 2003 .

[45]  Bo-Suk Yang,et al.  Application of nonlinear feature extraction and support vector machines for fault diagnosis of induction motors , 2007, Expert Syst. Appl..

[46]  John F. MacGregor,et al.  Multivariate SPC charts for monitoring batch processes , 1995 .

[47]  B. Silverman Density estimation for statistics and data analysis , 1986 .

[48]  Manabu Kano,et al.  Evolution of multivariate statistical process control: application of independent component analysis and external analysis , 2004, Comput. Chem. Eng..

[49]  A. Smilde,et al.  Multivariate statistical process control of batch processes based on three-way models , 2000 .

[50]  S. Joe Qin,et al.  Fault Detection of Nonlinear Processes Using Multiway Kernel Independent Component Analysis , 2007 .

[51]  Ali Cinar,et al.  Statistical monitoring of multistage, multiphase batch processes , 2002 .

[52]  Karlene A. Kosanovich,et al.  Improved Process Understanding Using Multiway Principal Component Analysis , 1996 .

[53]  A. J. Morris,et al.  Batch process monitoring for consistent production , 1996 .

[54]  Gülnur Birol,et al.  A modular simulation package for fed-batch fermentation: penicillin production , 2002 .

[55]  John F. MacGregor,et al.  Adaptive batch monitoring using hierarchical PCA , 1998 .

[56]  In-Beum Lee,et al.  Fault detection and diagnosis based on modified independent component analysis , 2006 .

[57]  S. J. Parulekar,et al.  A morphologically structured model for penicillin production , 2002, Biotechnology and bioengineering.