In distillation column control, secondary measurements such as temperatures
and hows are widely used in order to infer product composition. This paper
addresses the design of the linear static estimators using the secondary m
easurements for estimating product compositions of distillation columns. Ba
sed on the unified framework for the estimator design, the relationships am
ong various static estimators are discussed in terms of the estimator struc
ture. It is shown that the projection estimator is equivalent to the regres
sion estimators in the special cases. Since the projection estimator heavil
y depends on the measured inputs such as reflux flow and heat input to the
reboiler due to its structural characteristic, the estimation performance i
s far more sensitive to measurement noise and nonlinearity of them, compare
d with the regression estimators based on the PCR or PLS method. It is also
found that the use of the measured inputs leads to performance deteriorati
on of both the projection and regression estimators because of their nonlin
ear effects on the product compositions especially in high-purity columns.
Design guidelines for the PCR and PLS estimators are presented by analyzing
the results of the simulation studies on a high-purity column example. The
estimator based on the guidelines is robust to sensor noise and has a good
predictive power.