Prediction of polymer quality in batch polymerisation reactors using robust neural networks

Abstract A technique for predicting polymer quality in batch polymerisation reactors using robust neural networks is proposed in this paper. Robust neural networks are used to learn the relationship between batch recipes and the trajectories of polymer quality variables in batch polymerisation reactors. The robust neural networks are obtained by stacking multiple nonperfect neural networks which are developed based on the bootstrap re-samples of the original training data. Neural network generalisation capability can be improved by combining several neural networks and neural network prediction confidence bounds can also be calculated based on the bootstrap technique. A main factor affecting prediction accuracy is reactive impurities which commonly exist in industrial polymerisation reactors. The amount of reactive impurities is estimated on-line during the initial stage of polymerisation using another neural network. From the estimated amount of reactive impurities, the effective batch initial condition can be worked out. Accurate predictions of polymer quality variables can then be obtained from the effective batch initial conditions. The technique can be used to design optimal batch recipes and to monitor polymerisation processes. The proposed techniques are applied to the simulation studies of a batch methylmethacrylate polymerisation reactor.

[1]  Shi-Shang Jang,et al.  Dynamic optimization of batch emulsion polymerization of vinyl acetate—an orthogonal polynomial initiator policy , 1989 .

[2]  R.J.F. Dow,et al.  Neural net pruning-why and how , 1988, IEEE 1988 International Conference on Neural Networks.

[3]  Robert Tibshirani,et al.  A Comparison of Some Error Estimates for Neural Network Models , 1996, Neural Computation.

[4]  W. Ray Modelling polymerization reactors with applications to optimal design , 1967 .

[5]  N. V. Bhat,et al.  Use of neural nets for dynamic modeling and control of chemical process systems , 1990 .

[6]  Jie Zhang,et al.  Dynamic System Modelling Using Mixed Node Neural Networks , 1994 .

[7]  Babu Joseph,et al.  Predictive control of quality in batch polymerization using hybrid ANN models , 1996 .

[8]  Sirish L. Shah,et al.  Computer optimal control of batch polymerization reactors , 1987 .

[9]  S. Shioya,et al.  Molecular weight distribution control in a batch polymerization reactor , 1988 .

[10]  David H. Wolpert,et al.  Stacked generalization , 1992, Neural Networks.

[11]  J. Macgregor,et al.  Effect of impurities on emulsion polymerization: case I kinetics , 1988 .

[12]  Jooyoung Park,et al.  Universal Approximation Using Radial-Basis-Function Networks , 1991, Neural Computation.

[13]  S. Chen,et al.  Minimum end time policies for batchwise radical chain polymerization , 1978 .

[14]  Lennart Ljung,et al.  Nonlinear black-box modeling in system identification: a unified overview , 1995, Autom..

[15]  Michael I. Jordan,et al.  Hierarchical Mixtures of Experts and the EM Algorithm , 1994, Neural Computation.

[16]  E.B. Martin,et al.  Estimation of impurity and fouling in batch polymerisation reactors using stacked neural networks , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[17]  Eric B. Bartlett,et al.  Process modeling using stacked neural networks , 1996 .

[18]  John P. Congalidis,et al.  Feedforward and feedback control of a solution copolymerization reactor , 1989 .

[19]  Geoffrey E. Hinton,et al.  Learning internal representations by error propagation , 1986 .

[20]  J. Kent Robust properties of likelihood ratio tests , 1982 .

[21]  C. Kiparissides Polymerization reactor modeling: A review of recent developments and future directions , 1996 .

[22]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1992, Math. Control. Signals Syst..

[23]  Costas Kiparissides,et al.  Computation of the near‐optimal temperature and initiator policies for a batch polymerization reactor , 1984 .

[24]  Nathan Intrator,et al.  Bootstrapping with Noise: An Effective Regularization Technique , 1996, Connect. Sci..

[25]  Argimiro Resende Secchi,et al.  Constrained optimal batch polymerization reactor control , 1990 .

[26]  David M. Himmelblau,et al.  Modeling and control of a packed distillation column using artificial neural networks , 1995 .

[27]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[28]  William R. Cluett,et al.  Adaptive control of conversion in a simulated solution polymerization continuous stirred tank reactor , 1990 .