Development of soft-sensor using locally weighted PLS with adaptive similarity measure

Abstract Recently, just-in-time (JIT) modeling, such as locally weighted partial least squares (LW-PLS), has attracted much attention because it can cope with changes in process characteristics as well as nonlinearity. Since JIT modeling derives a local model from past samples similar to a query sample, it is crucial to appropriately define the similarity between samples. In this work, a new similarity measure based on the weighted Euclidean distance is proposed in order to cope with nonlinearity and to enhance estimation accuracy of LW-PLS. The proposed method can adaptively determine the similarity according to the strength of the nonlinearity between each input variable and an output variable around a query sample. The usefulness of the proposed method is demonstrated through numerical examples and a case study of a real cracked gasoline fractionator of an ethylene production process.

[1]  S. Wold,et al.  Nonlinear PLS modeling , 1989 .

[2]  M. Chiu,et al.  A new data-based methodology for nonlinear process modeling , 2004 .

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

[4]  K. Fujiwara,et al.  Development of correlation-based clustering method and its application to software sensing , 2010 .

[5]  P. Sönksen,et al.  HOME MONITORING OF BLOOD-GLUCOSE Method for Improving Diabetic Control , 1978, The Lancet.

[6]  J. E. Guerrero,et al.  Use of Artificial Neural Networks in Near-Infrared Reflectance Spectroscopy Calibrations for Predicting the Inclusion Percentages of Wheat and Sunflower Meal in Compound Feedingstuffs , 2006, Applied spectroscopy.

[7]  Manabu Kano,et al.  Estimation of active pharmaceutical ingredients content using locally weighted partial least squares and statistical wavelength selection. , 2011, International journal of pharmaceutics.

[8]  O. Kvalheim,et al.  Multivariate data analysis in pharmaceutics: a tutorial review. , 2011, International journal of pharmaceutics.

[9]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

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

[11]  Lars Renberg,et al.  Non‐linear modelling with a coupled neural network — PLS regression system , 1996 .

[12]  Manabu Kano,et al.  Evaluation of infrared-reflection absorption spectroscopy measurement and locally weighted partial least-squares for rapid analysis of residual drug substances in cleaning processes. , 2012, Analytical chemistry.

[13]  Thomas J. McAvoy,et al.  Nonlinear PLS Modeling Using Neural Networks , 1992 .

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

[15]  George Robertsson,et al.  Contributions to the problem of approximation of non-linear data with linear PLS in an absorption spectroscopic context , 1999 .

[16]  Amos Ben-Zvi,et al.  Online sensor for monitoring a microalgal bioreactor system using support vector regression , 2012 .

[17]  W. Cleveland Robust Locally Weighted Regression and Smoothing Scatterplots , 1979 .

[18]  Manabu Kano,et al.  Optimum quality design system for steel products through locally weighted regression model , 2011 .

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

[20]  W. Cleveland,et al.  Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting , 1988 .

[21]  Zhi-huan Song,et al.  Online monitoring of nonlinear multiple mode processes based on adaptive local model approach , 2008 .

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

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

[24]  Michael S Feld,et al.  Development of robust calibration models using support vector machines for spectroscopic monitoring of blood glucose. , 2010, Analytical chemistry.

[25]  Shih-Ying Chang,et al.  Implementation of Locally Weighted Regression to Maintain Calibrations on FT-NIR Analyzers for Industrial Processes , 2001 .

[26]  Changxiu Cao,et al.  Locally weighted regression for desulphurisation intelligent decision system modeling , 2004, Simul. Model. Pract. Theory.

[27]  Greg Shakhnarovich,et al.  Locally Weighted Regression , 2009 .

[28]  T. Isaksson,et al.  New approach for distance measurement in locally weighted regression , 1994 .

[29]  Stefan Schaal,et al.  Scalable Techniques from Nonparametric Statistics for Real Time Robot Learning , 2002, Applied Intelligence.

[30]  D L Massart,et al.  Optimization in locally weighted regression. , 1998, Analytical chemistry.

[31]  T. Næs,et al.  Locally weighted regression and scatter correction for near-infrared reflectance data , 1990 .

[32]  G. Lim,et al.  A nonlinear partial least squares algorithm using quadratic fuzzy inference system , 2009 .

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

[34]  A. J. Morris,et al.  Non-linear projection to latent structures revisited (the neural network PLS algorithm) , 1999 .

[35]  A. Walden,et al.  Identification of trends in annual maximum sea levels using robust locally weighted regression , 1983 .