LPT-2004-08 [BibTeX]
Adel Mhamdi, Wolfgang Marquardt:
Estimation of reaction rates by nonlinear system inversion
ADCHEM 2003, Hong Kong, China, 171-176
Abstract:
The estimation of reaction rates is an important problem in
mechanistic modeling, monitoring and control of chemical reactors.
In contrast to standard estimation techniques where a model must
be chosen for the reaction rates, we consider them in this work as
unknown time-varying functions, which also may be interpreted as
inputs. The resulting estimation task is an ill-posed inverse
problem. The paper addresses this estimation problem based on
systematic methods for nonlinear system inversion and filtering
resulting in efficient estimators. A theoretical analysis reveals
the conditions for reaction rate reconstruction are those for
system invertibility. Our estimation scheme is a regularization
method which eliminates the difficulties arising with ill-posed
problems. Guidelines for the design of the estimator structure and
the selection of the regularization parameters are presented.
Keywords:
Inverse problems, ill-posed problems, system inversion, filtering, regularization, reaction rates.