Nonlinear observers for parameter estimation in a solution polymerization process using infrared spectroscopy

Adaptive and high gain nonlinear observers are used for state and parameter estimation in an industrial polymerization process. The solution homopolymerization of acrylic acid is considered. The process is monitored online by near infrared spectroscopy giving the residual amount of monomer. Using this measurement, a continuous adaptive observer is first constructed to estimate the concentration of radicals. A second high gain continuous-discrete observer uses off-line measurements of the polymer molecular weight to estimate the termination rate coefficient that might be time varying due to the gel effect. The transfer to solvent rate coefficient is estimated under steady-state conditions and is assumed to be constant during the reaction. The identified model is validated by varying the process parameters: the concentrations of solvent, monomer, radicals and the residence time in the reactor with interest of their impact on the polymer molecular weight.

[1]  Qinghua Zhang,et al.  Adaptive observer for multiple-input-multiple-output (MIMO) linear time-varying systems , 2002, IEEE Trans. Autom. Control..

[2]  Cristiano Piacsek Borges,et al.  In‐Line Monitoring and Control of Conversion and Weight‐Average Molecular Weight of Polyurethanes in Solution Step‐Growth Polymerization Based on Near Infrared Spectroscopy and Torquemetry , 2005 .

[3]  G. Marin,et al.  Estimation of intrinsic rate coefficients in vinyl chloride suspension polymerization , 2005 .

[4]  D. Haddleton,et al.  In situ Fourier transform near infrared spectroscopy monitoring of copper mediated living radical polymerization , 2004 .

[5]  Andrew Klein,et al.  An experimental study of adaptive Kalman filtering in emulsion copolymerization , 1991 .

[6]  A. Wienke,et al.  Polymerization and Network Formation of UV-Curable Systems Monitored by Hyphenated Real-Time Dynamic Mechanical Analysis and Near-Infrared Spectroscopy , 2004 .

[7]  G. Févotte,et al.  On-line conversion monitoring of the solution polymerization of methyl methacrylate using near-infrared spectroscopy , 2002 .

[8]  Hassan Hammouri,et al.  Nonlinear continuous–discrete observers: application to emulsion polymerization reactors , 2002 .

[9]  Qinghua Zhang Adaptive Observer for MIMO Linear Time Varying Systems , 2001 .

[10]  M. Soroush Nonlinear state-observer design with application to reactors , 1997 .

[11]  G. Févotte,et al.  Control of polymer molecular weight using near infrared spectroscopy , 2004 .

[12]  Elaine Martin,et al.  Particle filters for state and parameter estimation in batch processes , 2005 .

[13]  Claudio Scali,et al.  Control of the quality of polymer products in continuous reactors: comparison of performance of state estimators with and without updating of parameters , 1997 .

[14]  Lorenz T. Biegler,et al.  Parameter Estimation for a Polymerization Reactor Model with a Composite-Step Trust-Region NLP Algorithm , 2004 .

[15]  Timothy F. L. McKenna,et al.  Biobjective control of emulsion polymerizations: control of the polymer composition and the concentration of monomer in the polymer particles , 2004 .

[16]  Jesus Alvarez,et al.  Robust dynamic state estimation of nonlinear plants , 1999 .

[17]  D. Wienke,et al.  Polymerization and network formation of UV-curable materials monitored by hyphenated real-time ultrasound reflectometry and near-infrared spectroscopy (RT-US/NIRS) , 2006 .

[18]  E. Lima,et al.  Monitoring and control of styrene solution polymerization using NIR spectroscopy , 2003 .

[19]  G. Zimmer State observation by on-line minimization , 1994 .

[20]  Hassan Hammouri,et al.  Applications of nonlinear observers and control : Improving productivity and control of free radical solution copolymerization , 1999 .

[21]  Hyun-Ku Rhee,et al.  Online estimation and control of polymer quality in a copolymerization reactor , 2002 .

[22]  A. J. Morris,et al.  Online optimizing control of molecular weight properties in batch free-radical polymerization reactors , 2002 .

[23]  Jean-Paul Gauthier,et al.  Nonlinear deterministic observer for state estimation: Application to a continuous free radical polymerization reactor , 1992 .

[24]  Fernand Pla,et al.  Nonlinear adaptive control of batch styrene polymerization , 1995 .

[25]  Jyh-Shyong Chang,et al.  Molecular weight control of a batch polymerization reactor : Experimental study , 1999 .

[26]  J. M. Asua,et al.  A new approach for the estimation of kinetic parameters in emulsion polymerization systems. I. Homopolymerization under zero–one conditions , 1990 .