Melt index prediction by adaptively aggregated RBF neural networks trained with novel ACO algorithm

Three estimation models of polypropylene (PP) process to infer the melt index, an important quality indicator determining product specification, are presented. Radial basis function (RBF) neural network (NN) is used to develop the models because of its capacity of fitting the complex relationship in PP process. A novel ant colony optimization (ACO) algorithm is also proposed and used to solve the optimization problem of the continuous linking weights when training the RBF NN. Based on the RBF NN and the novel ACO algorithm, a single NN model is developed. However, a single network cannot always work well due to some defects (such as overfitting) of a NN. Thus, as an improvement of the single NN model, several RBF NN trained with a certain objective are combined, and the aggregated NN model is obtained. To make the aggregated NN more robust and effective, an adaptive method of assigning the combinational weight to every individual network is applied to the former aggregated NN model and finally an adaptive aggregated NN model is achieved. Further researches of the three models are carried out on the data from a real industrial plant, and the prediction result shows that the performance of the obtained prediction models is better and better with every improvement step taken as above. The adaptive aggregated NN model works best, and the satisfying prediction error it provides depicts its prediction accuracy and universality, as well as an application prospect in PP process. © 2011 Wiley Periodicals, Inc. J Appl Polym Sci, 2012

[1]  Sirish L. Shah,et al.  Inferential sensors for estimation of polymer quality parameters: Industrial application of a PLS-based soft sensor for a LDPE plant , 2006 .

[2]  Mohd Azlan Hussain,et al.  Kinetic modeling of propylene homopolymerization in a gas-phase fluidized-bed reactor , 2010 .

[3]  Yeong-Koo Yeo,et al.  Prediction and quality control of the melt index during production of high-density polyethylene , 2008 .

[4]  Youxian Sun,et al.  Melt index prediction by neural networks based on independent component analysis and multi-scale analysis , 2006, Neurocomputing.

[5]  Marco Dorigo,et al.  Ant colony optimization theory: A survey , 2005, Theor. Comput. Sci..

[6]  Jie Zhang,et al.  Combination of multiple neural networks using data fusion techniques for enhanced nonlinear process modelling , 2005, Comput. Chem. Eng..

[7]  Chonghun Han,et al.  Melt index modeling with support vector machines, partial least squares, and artificial neural networks , 2005 .

[8]  Sudhir S. Bafna,et al.  A design of experiments study on the factors affecting variability in the melt index measurement , 1997 .

[9]  W. Ray,et al.  Dynamic modeling of polyethylene grade transitions in fluidized bed reactors employing nickel-diimine catalysts , 2006 .

[10]  Alex Arenas,et al.  Neural virtual sensor for the inferential prediction of product quality from process variables , 2002 .

[11]  G. M. Sadeghi,et al.  General and more precise relationships between molecular weight, blend ratio, and melt index of binary polyethylene blends , 2008 .

[12]  Chia-Nan Ko,et al.  Time series prediction using RBF neural networks with a nonlinear time-varying evolution PSO algorithm , 2009, Neurocomputing.

[13]  Xinggao Liu,et al.  Melt index prediction by weighted least squares support vector machines , 2006 .

[14]  Yung C. Shin,et al.  Radial basis function neural network for approximation and estimation of nonlinear stochastic dynamic systems , 1994, IEEE Trans. Neural Networks.

[15]  Xinggao Liu,et al.  Modeling mass transport of propylene polymerization on Ziegler–Natta catalyst , 2005 .

[16]  Hiromasa Kaneko,et al.  Development of a new soft sensor method using independent component analysis and partial least squares , 2009 .

[17]  Bidyut Baran Chaudhuri,et al.  Efficient training and improved performance of multilayer perceptron in pattern classification , 2000, Neurocomputing.

[18]  Peter J. Gawthrop,et al.  Neural networks for control systems - A survey , 1992, Autom..

[19]  N. R. Demarquette,et al.  Evaluation of imbedded fiber retraction phenomenological models for determining interfacial tension between molten polymers , 2005 .

[20]  Jie Zhang,et al.  Inferential Estimation of Polymer Melt Index Using Sequentially Trained Bootstrap Aggregated Neural Networks , 2006 .

[21]  Juan Julián Merelo Guervós,et al.  Evolving RBF neural networks for time-series forecasting with EvRBF , 2004, Inf. Sci..

[22]  Y. A. Liu,et al.  Steady-State and Dynamic Modeling of Gas-Phase Polypropylene Processes Using Stirred-Bed Reactors , 2004 .

[23]  J. Pinto,et al.  Correlating Polymer Parameters to the Entire Molecular Weight Distribution: Application to the Melt Index , 2006 .

[24]  D. J. Murraysmith,et al.  Methods for the external validation of contiuous system simulation models:a review , 1998 .

[25]  C. Kiparissides,et al.  Evaluation of the Internal Particle Morphology in Catalytic Gas-Phase Olefin Polymerization Reactors , 2007 .

[26]  J. Macgregor,et al.  On‐line inference of polymer properties in an industrial polyethylene reactor , 1991 .

[27]  Dingli Yu,et al.  Sensor fault diagnosis in a chemical process via RBF neural networks , 1999 .

[28]  Yeong-Koo Yeo,et al.  A recursive PLS-based soft sensor for prediction of the melt index during grade change operations in HDPE plant , 2009 .

[29]  Jie Zhang,et al.  Selective combination of multiple neural networks for improving model prediction in nonlinear systems modelling through forward selection and backward elimination , 2009, Neurocomputing.

[30]  Zne-Jung Lee,et al.  Genetic algorithm with ant colony optimization (GA-ACO) for multiple sequence alignment , 2008, Appl. Soft Comput..

[31]  Haralambos Sarimveis,et al.  A new algorithm for developing dynamic radial basis function neural network models based on genetic algorithms , 2004, Comput. Chem. Eng..

[32]  Ah Chung Tsoi,et al.  Universal Approximation Using Feedforward Neural Networks: A Survey of Some Existing Methods, and Some New Results , 1998, Neural Networks.