Soft Sensor Modeling Based on Multi-State-Dependent Parameter Models and Application for Quality Monitoring in Industrial Sulfur Recovery Process

Soft sensors have gained wide popularity in the industrial processes for online quality prediction in the recent years. In the case of online deployment, it is important to incorporate fewer input variables to improve the performance of the soft sensor. Therefore, the goal of this paper is to present an approach for the development of more efficient and less complex soft sensors in order to maximize the accuracy as well as to minimize the number of input soft sensing variables. The approach is based on multi-state-dependent parameter (MSDP) models, in which model parameters are estimated in a multivariable state space employing the Kalman filter and fixed interval smoothing algorithms. The proposed MSDP-based soft sensor is applied to an industrial sulfur recovery unit (SRU) in order to predict of H2S and SO2 concentrations. The model is consequently compared with the other soft sensing techniques, which are based on the same benchmark data set of the case study. The prediction results show that the designed MSDP-based soft sensors are more robust and exhibit higher predictive performance than other presented soft sensing methods based on the root mean square errors and Pearson correlation coefficient criterions while using fewer input variables.

[1]  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..

[2]  Francesco Palmieri,et al.  Distributed classification of multiple moving targets with binary wireless sensor networks , 2011, 14th International Conference on Information Fusion.

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

[4]  Peter C. Young,et al.  Data-based mechanistic modelling of environmental, ecological, economic and engineering systems. , 1998 .

[5]  S. Graziani,et al.  Soft sensor design for a Sulfur Recovery Unit using a clustering based approach , 2008, 2008 IEEE Instrumentation and Measurement Technology Conference.

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

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

[8]  Peter C. Young,et al.  Data-based mechanistic modelling and the rainfall-flow non-linearity. , 1994 .

[9]  Ales Janota,et al.  Intelligent Real-Time MEMS Sensor Fusion and Calibration , 2016, IEEE Sensors Journal.

[10]  Chen Chen,et al.  Indoor Positioning Algorithm Based on Nonlinear PLS Integrated With RVM , 2018, IEEE Sensors Journal.

[11]  Weiming Shao,et al.  Semi-supervised selective ensemble learning based on distance to model for nonlinear soft sensor development , 2017, Neurocomputing.

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

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

[14]  Jafar Sadeghi,et al.  Data-driven soft sensor approach for online quality prediction using state dependent parameter models , 2017 .

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

[16]  Jie Zhang,et al.  Offset‐Free Inferential Feedback Control of Distillation Compositions Based on PCR and PLS Models , 2006 .

[17]  Zhiqiang Ge,et al.  A Probabilistic Just-in-Time Learning Framework for Soft Sensor Development With Missing Data , 2017, IEEE Transactions on Control Systems Technology.

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

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

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

[21]  S. Graziani,et al.  Soft Sensor design for a Sulfur Recovery Unit using Genetic Algorithms , 2007, 2007 IEEE International Symposium on Intelligent Signal Processing.

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

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

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

[25]  Girijesh Prasad,et al.  Statistical and computational intelligence techniques for inferential model development: a comparative evaluation and a novel proposition for fusion , 2004, Eng. Appl. Artif. Intell..

[26]  Chonghun Han,et al.  Robust Nonlinear PLS Based on Neural Networks and Application to Composition Estimator for High-Purity Distillation Columns , 2000 .

[27]  Dražen Slišković,et al.  Adaptive soft sensor for online prediction and process monitoring based on a mixture of Gaussian process models , 2013, Comput. Chem. Eng..

[28]  Ping Wang,et al.  Supervised local and non-local structure preserving projections with application to just-in-time learning for adaptive soft sensor , 2015 .

[29]  Zhiqiang Ge,et al.  Nonlinear Soft Sensor Development Based on Relevance Vector Machine , 2010 .

[30]  A. Gupta,et al.  Advances in sulfur chemistry for treatment of acid gases , 2016 .

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

[32]  Jie Yu,et al.  A Bayesian inference based two-stage support vector regression framework for soft sensor development in batch bioprocesses , 2012, Comput. Chem. Eng..

[33]  E. Mizutani,et al.  Neuro-Fuzzy and Soft Computing-A Computational Approach to Learning and Machine Intelligence [Book Review] , 1997, IEEE Transactions on Automatic Control.

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