Online identification of adsorption isotherms in SMB processes via efficient moving horizon state and parameter estimation

Computers and Chemical Engineering

Volumn 34, Issue 12, 2010, Pages 1969-1983

  Küpper, Achim ^a   Wirsching, Leonard ^b   Diehl, Moritz ^c   Schlöder, Johannes P ^b   Bock, Hans Georg ^b   Engell, Sebastian ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

^b UNIVERSITY OF HEIDELBERG   (Germany)

^c UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Adsorption isotherm identification; Moving horizon estimation; Real time application; Real time iteration; Simulated Moving Bed chromatography

Indexed keywords

ESTIMATED MODEL; HENRY COEFFICIENTS; LANGMUIR TYPE; MODEL PARAMETERS; MOVING HORIZON; MOVING HORIZON ESTIMATION; NONLINEAR ISOTHERMS; NUMERICAL SIMULATION; ON-LINE IDENTIFICATION; OPTIMIZING CONTROL; REAL-TIME APPLICATION; REAL-TIME ITERATION; SEPARATION PROBLEMS; SIMULATED MOVING BED CHROMATOGRAPHY; SIMULATED MOVING BED PROCESS;

ADSORPTION; ADSORPTION ISOTHERMS; COLUMN CHROMATOGRAPHY; COMPUTER SIMULATION; ITERATIVE METHODS; SENSITIVITY ANALYSIS; VOID FRACTION;

PARAMETER ESTIMATION;

EID: 77957907226     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2010.07.005     Document Type: Article

References (38)

1. Abel S., Erdem G., Amanullah M., Morari M., Mazzotti M., Morbidelli M. Optimizing control of simulated moving beds-Experimental implementation. Journal of Chromatography A 2005, 1092(1):2-16.
2. Alamir M., Corriou J. Nonlinear receding-horizon state estimation for dispersive adsorption columns with nonlinear isotherm. Journal of Process Control 2003, 13(6):517-523.
3. Alamir M., Ibrahim F., Corriou J. A flexible nonlinear model predictive control scheme for quality/performance handling in nonlinear SMB chromatography. Journal of Process Control 2006, 16(4):333-344.
4. Amanullah M., Grossmann C., Mazzotti M., Morari M., Morbidelli M. Experimental implementation of automatic cycle to cycle control of a chiral simulated moving bed separation. Journal of Chromatography A 2007, 1165(1-2):100-108.
5. Bauer, I., Bock, H., & Schlöder, J. (1998). DAESOL-a BDF code for numerical solution of differential algebraic equations (Technical report). University of Heidelberg.
6. Bock H. Numerical treatment of inverse problems in chemical reaction kinetics. Modelling of chemical reaction systems. Vol. 18 of Springer series in chemical reaction systems 1981, 102-125. Springer-Verlag, Heidelberg. K. Ebert, P. Deuflhard, W. Jäger (Eds.).
7. Bock H. Randwertproblemmethoden zur Parameteridentifizierung in Systemen nichtlinearer Differentialgleichungen. Vol. 183 of Bonner Mathematische Schriften 1987, Universität Bonn.
8. Chung S., Wen C. Longitudinal diffusion of liquid flowing through fixed and fluidized beds. AIChE Journal 1968, 14:857-866.
9. Diehl M. Real-time optimization of large scale nonlinear processes. Dissertation. Vol. 920 of Fortschritt-Berichte VDI Reihe 8, Mess-, Steuerungs- und Regelungstechnik 2002, VDI Verlag, Düsseldorf.
10. Diehl M., Leineweber D., Schäfer A. MUSCOD-II users' manual 2001, IWR-Preprint 2001-2025, University of Heidelberg.
11. Diehl M., Bock H., Schlöder J., Findeisen R., Nagy Z., Allgöwer F. Real-time optimization and nonlinear model predictive control of processes governed by differential-algebraic equations. Journal of Process Control 2002, 12(4):577-585.
12. Diehl M., Bock H., Schlöder J. A real-time iteration scheme for nonlinear optimization in optimal feedback control. SIAM Journal on Control and Optimization 2005, 43(5):1714-1736.
13. Diehl M., Kühl P., Bock H., Schlöder J. Schnelle Algorithmen für die Zustands- und Parameterschätzung auf bewegten Horizonten. at-Automatierungstechnik 2006, 54(12):602-613.
14. Diehl M., Ferreau H., Haverbeke N. Efficient numerical methods for nonlinear MPC and moving horizon estimation. Nonlinear model predictive control. Vol. 384 of Springer lecture notes in control and information sciences. 2009, 391-417. Springer-Verlag, Berlin/Heidelberg/New York. L. Magni, D. Raimondo, F. Allgöwer (Eds.).
15. Dünnebier G., Klatt K.-U. Modelling and simulation of nonlinear chromatographic separation processes: A comparison of different modelling aspects. Chemical Engineering Science 2000, 55(2):373-380.
16. Engell S. Feedback control for optimal process operation. Journal of Process Control 2007, 17(3):203-219.
17. Engell S., Toumi A. Optimisation and control of chromatography. Computers & Chemical Engineering 2005, 29(6):1243-1252.
18. Erdem G., Abel S., Morari M., Mazzotti M., Morbidelli M., Lee J. Automatic control of simulated moving beds. Industrial & Engineering Chemistry Research 2004, 43(2):405-421.
19. Erdem G., Amanullah M., Morari M., Mazzotti M., Morbidelli M. Optimizing control of an experimental simulated moving bed unit. AIChE Journal 2006, 52(4):1481-1494.
20. Grossmann C., Amanullah M., Erdem G., Mazzotti M., Morbidelli M., Morari M. Cycle to cycle optimizing control of simulated moving beds. AIChE Journal 2008, 54(1):194-208.
21. Grossmann C., Langel C., Mazzotti M., Morari M., Morbidelli M. Experimental implementation of automatic cycle to cycle control to a nonlinear chiral simulated moving bed separation. Journal of Chromatography A 2009, 1217(13):2013-2021.
22. Gu T. Mathematical modelling and scale-up of liquid chromatography 1995, Springer-Verlag, New York.
23. Jupke A. Experimentelle Modellvalidierung und modellbasierte Auslegung von Simulated Moving Bed (SMB) Chromatographieverfahren. Dr.-Ing. Dissertation, Fachbereich Bio- und Chemieingenieurwesen, Universität Dortmund 2004, VDI Reihe 3, Nr. 807.
24. Jupke A., Epping A., Schmidt-Traub H. Optimal design of batch and simulated moving bed chromatographic separation processes. Journal of Chromatography A 2002, 944(1-2):93-117.
25. Kleinert T., Lunze J. Modelling and state observation of Simulated Moving Bed processes based on explicit functional wave form description. Mathematics and Computers in Simulation 2005, 68(3):235-270.
26. Kloppenburg E., Gilles E. Automatic control of the simulated moving bed process for C8 aromatics separation using asymptotically exact input/output linearization. Journal of Process Control 1999, 9:41-50.
27. Küpper A., Engell S. Parameter and state estimation in chromatographic SMB processes with individual columns and nonlinear adsorption isotherms. Proceedings of the IFAC international symposium of advanced control of chemical processes 2006, 611-616.
28. Küpper A., Engell S. Optimizing control of the Hashimoto SMB process: Experimental application. Proceedings of the IFAC international symposium on dynamics and control of process systems 2007, 151-156.
29. Küpper A., Engell S. Engineering of online optimizing control-a case study: Reactive SMB chromatography. Proceedings of the 17th IFAC world congress 2008, (paper MoA25.3).
30. Küpper A., Engell S. Optimierungsbasierte Regelung des Hashimoto-SMB-Prozesses. at-Automatisierungstechnik 2009, 57(7):360-370.
31. Küpper A., Diehl M., Schlöder J., Bock H., Engell S. Efficient moving horizon state and parameter estimation for SMB processes. Journal of Process Control 2009, 19(5):785-802.
32. Mangold M., Lauschke G., Schaffner J., Zeitz M., Gilles E.-D. State and parameter estimation for adsorption columns by nonlinear distributed parameter state observers. Journal of Process Control 1994, 4(3):163-172.
33. Robertson D., Lee J., Rawlings J. A moving horizon-based approach for least-squares estimation. AIChE Journal 1996, 42(8):2209-2224.
34. Rolandi P., Romagnoli J. A framework for online full optimising control of chemical processes. Proceedings of the ESCAPE (Elsevier) 2005, 15:1315-1320.
35. Toumi A., Engell S. Optimization-based control of a reactive simulated moving bed process for glucose isomerization. Chemical Engineering Science 2004, 59(18):3777-3792.
36. Toumi A., Engell S., Ludemann-Hombourger O., Nicoud R.M., Bailly M. Optimization of simulated moving bed and Varicol processes. Journal of Chromatography A 2003, 1-2:15-31.
37. Valappil J., Georgakis C. Systematic estimation of state noise statistics for extended kalman filters. AIChE Journal 2000, 46(2):292-308.
38. Zavala V., Laird C., Biegler L. A fast moving horizon estimation algorithm based on nonlinear programming sensitivity. Journal of Process Control 2008, 19(9):876-884.