Dynamic modeling and state estimation for an emulsion copolymerization reactor

Abstract The development of a nonlinear dynamic model of the seeded semicontinuous emulsion copolymerization of vinyl-acetate- n -butyl acrylate for copolymer composition control is summarized. Because the available process measurements do not yield the entire state vector directly, nonlinear state estimation is used. Process disturbances and measurement errors are modeled as stochastic processes and a hybrid extended Kalman filter is employed for state estimation. The filter is based on the local linearization of the process model around the suboptimal filter estimates which are needed for the effective composition control of the produced copolymer.

[1]  Demetrios G. Lainiotis,et al.  Optimal Estimation in the Presence of Unknown Parameters , 1969, IEEE Trans. Syst. Sci. Cybern..

[2]  B. Brooks.  Mass transfer and thermodynamic effects in emulsion polymerisation , 1970 .

[3]  R. H. Ewart,et al.  Kinetics of Emulsion Polymerization , 1948 .

[4]  R. Mehra.  On the identification of variances and adaptive Kalman filtering , 1970 .

[5]  Matthew Tirrell,et al.  Composition control of batch copolymerization reactors , 1981 .

[6]  S. Kaizerman,et al.  Swelling of latex particles , 1954 .

[7]  J. Prausnitz,et al.  Estimation of Solvent Activities in Polymer Solutions Using a Group-Contribution Method , 1978 .

[8]  M. Nomura,et al.  Kinetics of emulsion copolymerization. III: Prediction of the average number of radicals per particle in an emulsion copolymerization system , 1983 .

[9]  Rangasami Sridhar,et al.  Sequential Estimation of States and Parameters in Noisy Nonlinear Dynamical Systems , 1966 .

[10]  B. Tapley,et al.  Adaptive sequential estimation with unknown noise statistics , 1976 .

[11]  J. O. Aasen,et al.  Kinetics of emulsion polymerization , 1967 .

[12]  R. Sridhar,et al.  Sequential estimation of states and parameters in noisy non-linear dynamical systems , 1965 .

[13]  Andrew H. Jazwinski,et al.  Adaptive filtering , 1969, Autom..

[14]  Kinetics and thermodynamic aspects of emulsion copolymerization. Acrylonitrile‐styrene copolymerization , 1981 .

[15]  W. H. Ray,et al.  The Control of Copolymer Composition Distributions in Batch and Tubular Reactors , 1969 .

[16]  Henry Cox,et al.  On the estimation of state variables and parameters for noisy dynamic systems , 1964 .

[17]  S. Bankoff,et al.  Digital monitorina and estimation of polymerization reactors , 1976 .

[18]  J. L. Gardon.  Emulsion polymerization. V. Lowest theoretical limits of the ratio kt/kp , 1968 .

[19]  G. E. Eliçabe,et al.  Adaptive Control of a Polymerization Reactor , 1987 .

[20]  I. M. Weiss.  A survey of discrete Kalman-Bucy filtering with unknown noise covariances , 1970 .

[21]  B. Brooks.  Interfacial and diffusion phenomena in emulsion polymerisation , 1971 .

[22]  D. H. Napper,et al.  Theory of emulsion copolymerization kinetics , 1981 .

[23]  J. Guillot.  Some thermodynamic aspects in emulsion copolymerization , 1985 .

[24]  R. E. Kalman,et al.  New Results in Linear Filtering and Prediction Theory , 1961 .

[25]  Demetrios G. Lainiotis,et al.  Partitioned estimation algorithms, I: Nonlinear estimation , 1974, Inf. Sci..

[26]  Berkovec.  A method for the validation of Kalman filter models , 1969 .

[27]  J. T. O'toole.  Kinetics of emulsion polymerization , 1965 .

[28]  B. D. Tapley,et al.  Sequential estimation of the state and the observation-error convariance matrix , 1971 .

[29]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[30]  Archie E. Hamielec,et al.  Dynamic modelling of the batch, semi‐batch and continuous production of styrene/butadiene copolymers by emulsion polymerization , 1985 .

[31]  R. Mehra.  Approaches to adaptive filtering , 1972 .

[32]  J. Ugelstad,et al.  Swelling of oligomer-polymer particles. New methods of preparation , 1980 .

[33]  A.R.M. Noton,et al.  Remote computer control of an industrial process , 1970 .

[34]  C. Pichot,et al.  New Design for Producing Constant-Composition Copolymers in Emulsion Polymerization: Comparison with Other Processes , 1981 .

[35]  Alexander Penlidis,et al.  STATE ESTIMATION FOR POLYMERIZATION REACTORS , 1986 .

[36]  John F. MacGregor,et al.  Suboptimal stochastic control of a continuous latex reactor , 1981 .

[37]  Andrew P. Sage,et al.  Adaptive filtering with unknown prior statistics , 1969 .

[38]  D. Alspach,et al.  A parallel filtering algorithm for linear systems with unknown time varying noise statistics , 1974 .

[39]  W. Stockmayer.  Note on the kinetics of emulsion polymerization , 1957 .