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Parameter set selection for estimation of nonlinear dynamic systems

delete2007-09-17
delete72
PRE
AI
Y
Yunfei Chu
J
Juergen Hahn *
DOI:10.1002/aic.11295delete
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摘要

摘要

En 中文
A new approach is introduced for parameter set selection for nonlinear systems that takes nonlinearity of the parameter-output sensitivity, the effect that uncertainties in the nominal values of the parameters have and the effect that inputs and initial conditions have on parameter selection into account. In a first step, a collection of (sub)optimal parameter sets is determined for the nominal values of the parameters using a genetic algorithm. These parameter sets are then further analyzed for uncertainty in the parameters and changes in the initial conditions and inputs using differential analysis as well as a sampling-based approach to determine the key factors influencing sensitivity and the likelihood of a parameter set to be the optimal set under these varying conditions. The outcome of this procedure is a collection of parameter sets, which can be used for parameter estimation and additional information about how likely it is that a set is optimal for parameter estimation. Additionally, the size of the region in parameter space in which a certain set of parameters will remain optimal is determined. (C) 2007 American Institute of Chemical Engineers.
Keyword:
parameter selection
parameter estimation
experimental design
sensitivity analysis
nonlinear dynamic systems
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