Data-driven soft sensor approach for online quality prediction using state dependent parameter models

Abstract The goal of this paper is to design and implementation of a new data-driven soft sensor that uses state dependent parameter (SDP) models to improve product quality monitoring. The SDP model parameters assumed to be function of the system states, which are estimated by data-based modeling philosophy and SDP method. Soft sensing performance of the proposed method is validated on a simulated continuous stirred tank reactor and an industrial debutanizer column. A comparative study of different soft sensing methods for online monitoring of debutanizer column is also carried out. The results show that the process non-linearity can also be addressed under this modeling method and the change of the process is also well tracked when missing data exist in the observed data. The results indicate that the new model is much more robust and reliable with less model parameters, which make it useful for industrial applications. In addition, the performance indexes show the superiority of the proposed model over other conventional soft sensing methods.

[1]  Manabu Kano,et al.  Soft‐sensor development using correlation‐based just‐in‐time modeling , 2009 .

[2]  Hiromasa Kaneko,et al.  Preparation of comprehensive data from huge data sets for predictive soft sensors , 2016 .

[3]  Fan Miao,et al.  Adaptive Gaussian Mixture Model-Based Relevant Sample Selection for JITL Soft Sensor Development , 2014 .

[4]  Biao Huang,et al.  Design of inferential sensors in the process industry: A review of Bayesian methods , 2013 .

[5]  In-Beum Lee,et al.  Nonlinear dynamic process monitoring based on dynamic kernel PCA , 2004 .

[6]  C. S. George Lee,et al.  Neural fuzzy systems: a neuro-fuzzy synergism to intelligent systems , 1996 .

[7]  Bhaskar D. Kulkarni,et al.  Development of a soft sensor for a batch distillation column using support vector regression techniques , 2007 .

[8]  Jose C. Principe,et al.  Neural and adaptive systems , 2000 .

[9]  Morimasa Ogawa,et al.  The state of the art in chemical process control in Japan: Good practice and questionnaire survey , 2010 .

[10]  Hui Shao,et al.  Developing soft sensors using hybrid soft computing methodology: a neurofuzzy system based on rough set theory and genetic algorithms , 2006, Soft Comput..

[11]  Zhi-huan Song,et al.  Adaptive local kernel-based learning for soft sensor modeling of nonlinear processes , 2011 .

[12]  Jialin Liu,et al.  Development of Self-Validating Soft Sensors Using Fast Moving Window Partial Least Squares , 2010 .

[13]  Ping Wang,et al.  Local Partial Least Squares Based Online Soft Sensing Method for Multi-output Processes with Adaptive Process States Division , 2014 .

[14]  Rui Araújo,et al.  An adaptive ensemble of on-line Extreme Learning Machines with variable forgetting factor for dynamic system prediction , 2016, Neurocomputing.

[15]  Zhiqiang Ge,et al.  Probabilistic combination of local independent component regression model for multimode quality prediction in chemical processes , 2014 .

[16]  Peter C. Young,et al.  Data-Based Mechanistic Modelling: Natural Philosophy Revisited? , 2012 .

[17]  Dale E. Seborg,et al.  Optimal selection of soft sensor inputs for batch distillation columns using principal component analysis , 2005 .

[18]  Dae Sung Lee,et al.  Nonlinear dynamic partial least squares modeling of a full-scale biological wastewater treatment plant , 2006 .

[19]  Zhiqiang Ge,et al.  Robust supervised probabilistic principal component analysis model for soft sensing of key process variables , 2015 .

[20]  Weiming Shao,et al.  Adaptive soft sensor for quality prediction of chemical processes based on selective ensemble of local partial least squares models , 2015 .

[21]  Zhi-huan Song,et al.  Locally Weighted Kernel Principal Component Regression Model for Soft Sensing of Nonlinear Time-Variant Processes , 2014 .

[22]  Zhiqiang Ge,et al.  A comparative study of just-in-time-learning based methods for online soft sensor modeling , 2010 .

[23]  Xiangguang Chen,et al.  Soft sensor development for online quality prediction of industrial batch rubber mixing process using ensemble just-in-time Gaussian process regression models , 2016 .

[24]  Zengliang Gao,et al.  Just-in-time kernel learning with adaptive parameter selection for soft sensor modeling of batch processes , 2012 .

[25]  Thomas E. Marlin,et al.  Multivariate statistical monitoring of process operating performance , 1991 .

[26]  Hare Krishna Mohanta,et al.  Soft sensing of product quality in the debutanizer column with principal component analysis and feed-forward artificial neural network , 2016 .

[27]  M. Hubert,et al.  A robust PCR method for high‐dimensional regressors , 2003 .

[28]  S. Qin Recursive PLS algorithms for adaptive data modeling , 1998 .

[29]  Peter C. Young,et al.  System identification, time series analysis and forecasting : The Captain Toolbox handbook. , 2007 .

[30]  Željko Hocenski,et al.  Methods for Plant Data-Based Process Modeling in Soft-Sensor Development , 2011 .

[31]  Junghui Chen,et al.  Auto-Switch Gaussian Process Regression-Based Probabilistic Soft Sensors for Industrial Multigrade Processes with Transitions , 2015 .

[32]  Thomas Mc Avoy Intelligent “control” applications in the process industries , 2002 .

[33]  Zhiqiang Ge,et al.  Semisupervised Bayesian method for soft sensor modeling with unlabeled data samples , 2011 .

[34]  Bogdan Gabrys,et al.  Data-driven Soft Sensors in the process industry , 2009, Comput. Chem. Eng..

[35]  Ratko Grbic,et al.  Data preprocessing in data based process modeling , 2009, ICONS.

[36]  Miao Aimin,et al.  Neighborhood preserving regression embedding based data regression and its applications on soft sensor modeling , 2015 .

[37]  S. Wold,et al.  PLS-regression: a basic tool of chemometrics , 2001 .

[38]  Xiao Fan Wang,et al.  Soft sensing modeling based on support vector machine and Bayesian model selection , 2004, Comput. Chem. Eng..

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

[40]  Peter C. Young,et al.  The data-based mechanistic approach to the modelling, forecasting and control of environmental systems , 2006, Annu. Rev. Control..

[41]  Hooshang Jazayeri-Rad,et al.  Robust data-driven soft sensor based on iteratively weighted least squares support vector regression optimized by the cuckoo optimization algorithm , 2015 .

[42]  Carl E. Rasmussen,et al.  Gaussian processes for machine learning , 2005, Adaptive computation and machine learning.

[43]  I. Jolliffe Principal Component Analysis , 2002 .

[44]  Luigi Fortuna,et al.  Soft Sensors for Monitoring and Control of Industrial Processes (Advances in Industrial Control) , 2006 .

[45]  Koichi Fujiwara,et al.  Virtual sensing technology in process industries: Trends and challenges revealed by recent industria , 2013 .

[46]  Bogdan Gabrys,et al.  Review of adaptation mechanisms for data-driven soft sensors , 2011, Comput. Chem. Eng..

[47]  P. Young,et al.  Identification of non-linear stochastic systems by state dependent parameter estimation , 2001 .

[48]  Luigi Fortuna,et al.  Soft sensors for product quality monitoring in debutanizer distillation columns , 2005 .

[49]  Zhiqiang Ge,et al.  Nonlinear feature extraction for soft sensor modeling based on weighted probabilistic PCA , 2015 .

[50]  Min-Sen Chiu,et al.  Nonlinear process monitoring using JITL-PCA , 2005 .

[51]  Yi Liu,et al.  Integrated soft sensor using just-in-time support vector regression and probabilistic analysis for quality prediction of multi-grade processes , 2013 .

[52]  Zhiqiang Ge,et al.  Mixture semisupervised principal component regression model and soft sensor application , 2014 .

[53]  Ping Wang,et al.  Online soft sensor design using local partial least squares models with adaptive process state partition , 2015 .

[54]  Nasser Mohamed Ramli,et al.  Composition Prediction of a Debutanizer Column using Equation Based Artificial Neural Network Model , 2014, Neurocomputing.

[55]  Biao Huang,et al.  Identification of nonlinear parameter varying systems with missing output data , 2012 .

[56]  Lei Wu,et al.  Adaptive soft sensor modeling framework based on just-in-time learning and kernel partial least squares regression for nonlinear multiphase batch processes , 2014, Comput. Chem. Eng..

[57]  Zhiqiang Ge,et al.  Active learning strategy for smart soft sensor development under a small number of labeled data samples , 2014 .

[58]  Tianyou Chai,et al.  On-line principal component analysis with application to process modeling , 2012, Neurocomputing.

[59]  Christopher M. Bishop,et al.  Neural networks for pattern recognition , 1995 .

[60]  Zhiqiang Ge,et al.  Active probabilistic sample selection for intelligent soft sensing of industrial processes , 2016 .

[61]  N. Draper,et al.  Applied Regression Analysis , 1967 .

[62]  En Sup Yoon,et al.  Weighted support vector machine for quality estimation in the polymerization process , 2005 .

[63]  Zhiqiang Ge,et al.  Nonlinear semisupervised principal component regression for soft sensor modeling and its mixture form , 2014 .

[64]  Junghui Chen,et al.  Active learning assisted strategy of constructing hybrid models in repetitive operations of membrane filtration processes: Using case of mixture of bentonite clay and sodium alginate , 2016 .

[65]  Xue-feng Yan,et al.  Weighted kernel principal component analysis based on probability density estimation and moving window and its application in nonlinear chemical process monitoring , 2013 .

[66]  Manabu Kano,et al.  Development of soft-sensor using locally weighted PLS with adaptive similarity measure , 2013 .

[67]  Luigi Fortuna,et al.  SOFT ANALYSERS FOR A SULFUR RECOVERY UNIT , 2002 .

[68]  Jin Wang,et al.  A reduced order soft sensor approach and its application to a continuous digester , 2011 .

[69]  Manabu Kano,et al.  Long-Term Industrial Applications of Inferential Control Based on Just-In-Time Soft-Sensors: Economical Impact and Challenges , 2013 .

[70]  Yi Liu,et al.  Real-time property prediction for an industrial rubber-mixing process with probabilistic ensemble Gaussian process regression models , 2015 .

[71]  Gordon Lightbody,et al.  Gaussian process approach for modelling of nonlinear systems , 2009, Eng. Appl. Artif. Intell..

[72]  Zhiqiang Ge,et al.  Improved kernel PCA-based monitoring approach for nonlinear processes , 2009 .

[73]  Chuen-Tsai Sun,et al.  Neuro-fuzzy And Soft Computing: A Computational Approach To Learning And Machine Intelligence [Books in Brief] , 1997, IEEE Transactions on Neural Networks.

[74]  Fuli Wang,et al.  Online quality prediction for cobalt oxalate synthesis process using least squares support vector regression approach with dual updating , 2013 .

[75]  Luiz Augusto da Cruz Meleiro,et al.  ANN-based soft-sensor for real-time process monitoring and control of an industrial polymerization process , 2009, Comput. Chem. Eng..

[76]  Peter C. Young,et al.  Recursive Estimation and Time Series Analysis , 1984 .

[77]  Hannu T. Toivonen State-dependent parameter models of non-linear sampled-data systems: a velocity-based linearization approach , 2003 .