Nonlinear control of a multicomponent distillation process coupled with a binary distillation model as an EKF predictor.

The work is devoted to design the globally linearizing control (GLC) strategy for a multicomponent distillation process. The control system is comprised with a nonlinear transformer, a nonlinear closed-loop state estimator [extended Kalman filter (EKF)], and a linear external controller [conventional proportional integral (PI) controller]. The model of a binary distillation column has been used as a state predictor to avoid huge design complexity of the EKF estimator. The binary components are the light key and the heavy key of the multicomponent system. The proposed GLC-EKF (GLC in conjunction with EKF) control algorithm has been compared with the GLC-ROOLE [GLC coupled with reduced-order open-loop estimator (ROOLE)] and the dual-loop PI controller based on set point tracking and disturbance rejection performance. Despite huge process/predictor mismatch, the superiority of the GLC-EKF has been inspected over the GLC-ROOLE control structure.

[1]  Riccardo Scattolini,et al.  A stabilizing model-based predictive control algorithm for nonlinear systems , 2001, Autom..

[2]  Costas Kiparissides,et al.  On‐line monitoring of polymer quality in a batch polymerization reactor , 1986 .

[3]  Zhang Suzhen,et al.  Real-time estimation of the chain length distribution in a polymerization reactor , 1985 .

[4]  Klavs F. Jensen,et al.  Estimation of the molecular weight distribution in batch polymerization , 1988 .

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

[6]  William L. Luyben,et al.  Process Modeling, Simulation and Control for Chemical Engineers , 1973 .

[7]  M. Barolo,et al.  Composition Control in Batch Distillation: Binary and Multicomponent Mixtures , 1998 .

[8]  Francis J. Doyle,et al.  Input-Output linearization using approximate process models , 1995 .

[9]  D. Luenberger Observers for multivariable systems , 1966 .

[10]  Dale E. Seborg,et al.  Dyanmic compartmental models for separation processes , 1986 .

[11]  Thomas F. Edgar,et al.  Process Dynamics and Control , 1989 .

[12]  Michael A. Henson,et al.  Nonlinear model predictive control: current status and future directions , 1998 .

[13]  Arthur Gelb,et al.  Applied Optimal Estimation , 1974 .

[14]  Iqbal M. Mujtaba,et al.  Performance of different types of controllers in tracking optimal temperature profiles in batch reactors , 2000 .

[15]  Carlos E. Garcia,et al.  Internal model control. A unifying review and some new results , 1982 .

[16]  Thomas Kailath,et al.  Linear Systems , 1980 .

[17]  Robert Grover Brown,et al.  Introduction to random signals and applied Kalman filtering : with MATLAB exercises and solutions , 1996 .

[18]  S Hurowitz,et al.  Distillation control configuration selection , 2003 .

[19]  Ernst Dieter Gilles,et al.  Nonlinear observers for distillation columns , 1990 .

[20]  Karl Schügerl,et al.  Application of an extended Kalman filter for state estimation of a yeast fermentation , 1986 .

[21]  Arthur Jutan,et al.  Nonlinear adaptive control for multivariable chemical processes , 2001 .

[22]  J. A. Wilson,et al.  State Estimation in the Control of Integrated Batch Reaction with Distillation Processes , 1997 .

[23]  Thomas E Marlin,et al.  Process Control , 1995 .

[24]  R. M. Oisiovici,et al.  Inferential Control of High-Purity Multicomponent Batch Distillation Columns Using an Extended Kalman Filter , 2001 .

[25]  C. R. Cutler,et al.  Dynamic matrix control: an optimal multivariable control algorithm with constraints , 1983 .

[26]  Kyu Yong Choi,et al.  On-line estimation and control of a continuous stirred tank polymerization reactor , 1991 .

[27]  Mohinder S. Grewal,et al.  Kalman Filtering: Theory and Practice , 1993 .

[28]  Ch. Venkateswarlu,et al.  Optimal state estimation of multicomponent batch distillation , 2001 .

[29]  Babu Joseph,et al.  Inferential control of processes: Part I. Steady state analysis and design , 1978 .

[30]  Riccardo Marino,et al.  Nonlinear control design , 1995 .

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

[32]  A. Isidori Nonlinear Control Systems , 1985 .

[33]  R. M. Oisiovici,et al.  State estimation of batch distillation columns using an extended Kalman filter , 2000 .

[34]  J. Macgregor,et al.  Nonlinear adaptive temperature control of multi-product, semi-batch polymerization reactors , 1995 .

[35]  Masoud Soroush,et al.  Discrete‐time nonlinear feedback control of multivariable processes , 1996 .

[36]  W. Fred Ramirez,et al.  Optimal state and parameter identification. An application to batch fermentation , 1987 .

[37]  Massimo Morbidelli,et al.  A composition estimator for multicomponent distillation columns — development and experimental test on ternary mixtures , 1998 .

[38]  Massimo Morbidelli,et al.  Development of a composition estimator for binary distillation columns. Application to a pilot plant , 1995 .

[39]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .