MODIFIED INTEGRAL PROCEDURE (MIP) AS A RELIABLE SHORT-CUT METHOD FOR KINETIC-MODEL ESTIMATION - ISOTHERMAL, NONISOTHERMAL AND (SEMI-)BATCH PROCESS CASES
G. Maria et Dwt. Rippin, MODIFIED INTEGRAL PROCEDURE (MIP) AS A RELIABLE SHORT-CUT METHOD FOR KINETIC-MODEL ESTIMATION - ISOTHERMAL, NONISOTHERMAL AND (SEMI-)BATCH PROCESS CASES, Computers & chemical engineering, 21(10), 1997, pp. 1169-1190
In both small and large-scale investigations, a reliable short-cut pro
cedure to estimate the approximate parameters is very useful for the s
uccessive rapid checking of different Kinetic Model (KM) structures fo
r their adaptation to current process data. An improved quality of the
initial parameter guess also improves the reliability and the converg
ence rate for a subsequent exact Nonlinear Least Squares (NLS) regress
ion technique applied for fitting the final model. The recently propos
ed Modified Integral transformation Procedure (MIP) short-cut estimati
on method of Maria and Rippin (1995) [Computers and Chemical Engineeri
ng 19 (Supplement), S709-S714 (1995)] adds supplementary elements of s
imilarity analysis and prior information about similar model structure
s to the classical Integral transformation Procedure (IF) for kinetic
parameter estimation. By exploiting the model structure and the intera
ctive use of information stored in a kinetic databank, the MIP makes r
apid adaptation of a KM and parameters, describing an already studied
process, to a similar process under study with only the product distri
bution known. The problem decomposition and the term-by-term sensitivi
ty and estimation analysis of the model for various portions of experi
mental data sets result in a very effective MIP. The generated initial
parameter estimate is more reliable and of better quality compared wi
th the classical direct techniques, especially for non-linear and ill-
conditioned cases. Algebraic transfer of information functions are dev
eloped in interaction with the kinetic databank, leading to a rapid ch
eck of different kinetics, or the same kinetic model for different dat
a sets, without time-consuming intermediate NLS steps. The MIP was int
egrated in an expert system for kinetic identification and coupled wit
h statistical data/estimate analysis (Maria, 1993 [Computers and Chemi
cal Engineering 17 (Supplement), S435-S440 (1993)]; Maria and Rippin,
1996 [Computers and Chemical Engineering 20 (Supplement), S587-S592 (1
996)]). MIP implies any iterative search, it has no convergence proble
ms and requires no tuning factor. The basic MIP, developed for isother
mal data treatment, is also shown to be suitable for on-line kinetics
identification in (semi-) batch processes. The interaction with the pr
ior information allows on-line adaptations of the model structure and
parameters, comparable with extended Kalman Filter (EKF)-based recursi
ve estimators. In the present work these results are also extrapolated
for linear kinetics estimation by using non-isothermal data. (C) 1997
Elsevier Science Ltd.