Consequence of structural identifiability properties on state-model formulation for linear inverse chromatography

Chemical Engineering Science

Volumn 55, Issue 15, 2000, Pages 2945-2956

  Tayakout Fayolle, M ^a   Jolimaitre, E ^a   Jallut, C ^a  

^a UNIVERSITÉ LYON 1   (France)

Author keywords

Adsorption; Identifiability; Linear chromatography; Modelling; Parameter estimation

Indexed keywords

ADSORPTION; DIFFUSION IN SOLIDS; DISPERSIONS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; THERMODYNAMICS; TIME DOMAIN ANALYSIS; TRANSFER FUNCTIONS;

LINEAR INVERSE CHROMATOGRAPHY;

CHROMATOGRAPHIC ANALYSIS;

ADSORPTION; CHROMATOGRAPHY; STRUCTURAL ANALYSIS;

EID: 0034024312     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(99)00558-8     Document Type: Conference Paper

References (37)

1. Anderssen A.S., White E.T. Parameter estimation by the transfer function method. Chemical Engineering Science. 25:1970;1015-1021.
2. Boniface H.A., Ruthven D.M. The use of higher moments to extract transport data from chromatographic adsorption experiments. Chemical Engineering Science. 40(8):1985;1401-1409.
3. Bourdin V., Grenier P., Meunier F., Sun L.M. Thermal frequency response method for the study of mass transfer kinetics in adsorbants. A.I.Ch.E. Journal. 42(3):1996;700-712.
4. Cui L.C., Schweich D., Villermaux J. Consequence of flow nonuniformity on the measurement of effective diffusivity. A.I.Ch.E. Journal. 36(1):1990;86-92.
5. Curtain R.F., Zwart H.J. An introduction to infinite-dimensional linear systems theory. 1995;Springer, New York.
6. Fahim M.A., Wakao N. Parameter estimation from tracer response measurements. Chemical Engineering Science. 25:1982;1-8.
7. Hirschfelder J.O., Curtiss C.F., Bird R.B. Molecular theory of gases and liquids. 1954;Wiley, New York.
8. Hufton J.R., Danner R.P. Chromatographic study of alkans in silicalite: transport properties. A.I.Ch.E. Journal. 39(6):1993;962-974.
9. Hufton J.R., Danner R.P. Chromatographic study of alkans in silicalite: equilibrium properties. A.I.Ch.E. Journal. 39(6):1993;954-961.
10. Jacquier V., Jolimaitre E., d'Onofrio A., Hamaide T., Tayakout-Fayolle M., Jallut C. Catalyse hétérogène de polymérisation anionique coordinée par ouverture de cycles oxygénés. mise en oeuvre et modélisation des transferts de matière dans un procédé à lit fixe Entropie. 212-213:1998;87-98.
11. Lafolie, F., Hayot, C.H., & Schweich, D. (1997). Experiments on solute transport in aggregated porous media: are diffusions within aggregates and hydrodynamic dispersion independent? Transport in Porous Media, 29, 281-307.
12. Lee C.H., Holder G.D. Use of supercritical fluid chromatography for obtaining mass transfer coefficients in fluid-solid systems at supercritical conditions. Industrial Engineering and Chemical Ressearch. 34:1995;906-914.
13. Nauman E.B. Transient response functions and residence time distributions in open systems. A.I.Ch.E. Symposium Series. 202(77):1981;87-93.
14. Park S.W., Himmelblau D.M. Parameter estimation and unique identifiability. The Chemical Engineering Journal. 25:1982;163-174.
15. Pignatello J.J., Xing B. Mechanism of slow sorption of organic chemicals to natural particles. Environmental Science and Technology. 30(1):1996;1-11.
16. Raghavan N.S., Ruthven D.M. Numerical simulation of a fixed-bed adsorption column by the method of orthogonal collocation. A.I.Ch.E. Journal. 29(6):1983;922-925.
17. Ramusson A., Neretnieks I. Exact solution of a model for diffusion in particles and longitudinal dispersion in packed beds. A.I.Ch.E. Journal. 26(4):1980;686-690.
18. Ros S., Jallut C., Grillot J.M., Amblard M. A transient state technique for the heat transfer coefficient measurement in a corrugated plate heat exchanger channel based on frequency response and residence time distribution. International Journal of Heat and Mass Transfer. 38(7):1995;1317-1325.
19. Ruthven D.M. Principles of adsorption and adsorption processes. 1984;Wiley, New York.
20. Schneider P., Smith J.M. Adsorption rate constants from chromatography. A.I.Ch.E. Journal. 14(5):1968;762-771.
21. Schneider P., Smith J.M. Chromatographic study of surface diffusion. A.I.Ch.E. Journal. 14(6):1968;886-895.
22. Shah D.B., Oey N.K. Application of method of moments to highly skewed responses. Zeolithes. 8:1988;404-408.
23. Sun L.M., Meunier F., Grenier P., Ruthven D.M. Frequency response for non isothermal adsorption in biporous pellets. Chemical Engineering Science. 49(3):1994;373-381.
24. Tayakout M., Jallut C. Use of RTD and local transfer representation to obtain a transient modelling of a liquid-solid system. Chemical Engineering Communication. 117:1992;163-174.
25. Taylor S., Krishna R. Multicomponent mass transfer. 1993;Wiley, New York.
26. Vajda S., Rabitz H., Walter E., Lecourtier Y. Qualitative and quantitative identifiability analysis of non-linear chemical kinetic models. Chemical Engineering Communication. 83:1989;191-219.
27. Villadsen J., Michelsen M.L. Solution of differential equation models by polynomial approximation. 1978;Prentice -Hall, Englewood Cliffs, NJ.
28. Villermaux J. Deformation of chromatographic peak under the influence of mass transfer phenomena. Journal of Chromatographic Science. 12:1974;822-831.
29. Villermaux J. Chemical engineering approach to dynamic modelling of linear chromatography. Journal of Chromatography. 406:1987;11-26.
30. Wakao N., Kaguei S. Heat and mass transfer in packed beds. 1982;Gordon and Breach, New York.
31. Wakao N., Kaguei S., Funazkri T. Effect of fluid dispersion coefficients on particle-to-fluid heat transfer coefficients in packed beds. Chemical Engineering Science. 34:1979;325-336.
32. Wakao N., Kaguei S., Smith J.M. Adsorption chromatography measurements, parameter determination. Industrial Engineering and Chemical Fundamentals. 19:1980;363-367.
33. Walter E., Lecourtier Y., Kao J.Y., Happel J. Identifiability and distinguishability testing for linear models in heterogeneous catalysis. Chemical Engineering Communications. 83:1989;157-172.
34. Walter E., Pronzato L. Qualitative and quantitative experiment design for phenomenological models - a survey. Automatica. 26(2):1990;195-213.
35. Walter E., Pronzato L. Identification de modèles paramétriques à partir de données expérimentales. 1994;Masson, Paris.
36. Walter E., Pronzato L., Soong Y., Otarod M., Happel J. Modeling transient tracing in plug-flow reactors. A case study Industrial Engineering and Chemical Research. 34:1995;483-487.
37. Wonham W.M. Linear multivariable control. A geometric approach. 1985;Springer, New York.