The condenser of a batch distillation column, equipped with temperature and
flow sensors, is considered here. The aim of the paper is to build a syste
m that is able to detect flow sensor failures occurring in a batch. Three m
ethods are considered. For all of them, the first step consists of the para
meter identification of a grey-box model. For the first two tests, the clas
sical least-squares approach is used. The first fault-detection test is bas
ed on the value of the sum of the squares of the prediction errors obtained
with the current batch measurements. The second one is a classical hypothe
sis test, relying on the log-likelihood ratio. Both methods are shown to la
ck robustness with respect to the process variability from batch to batch.
A third approach is then investigated, in which the optimised cost function
of the identification phase is chosen in order to reflect the sensitivity
of the model to the how sensor faults. II yields significantly better resul
ts than the other two methods for the data being considered. (C) 1998 Elsev
ier Science Ltd. AII rights reserved.