The use of artificial neural networks (ANN) for modeling complex proce
sses is an attractive approach that has been successfully applied in v
arious fields. However, in many cases the use of an ANN alone may be i
nadequate and inaccurate when data are insufficient, because the ANN b
lack-box model relies completely on the data. As a result, a hybrid mo
del consisting of a simplified process model (SPM) and a neural networ
k (residual model) is used in the present study for developing a dynam
ic model of sequencing batch reactor systems. The implemented SPM mode
l consists of only five discrete rate equations and an ANN is added to
the SPM in a parallel connection. Both the SPM and the ANN receive in
fluent chemical oxygen demand (COD), total kjeldahl nitrogen (TKN), PO
43- and NH4+ data and timer output signals (for phase control) as inpu
ts. The SPM output provides a preliminary prediction of the dynamic be
havior of the PO43- and NOx- concentrations. The outputs of the traine
d ANN compensate for the output errors of the SPM model. The hybrid mo
del output of the final predictions of the process states is obtained
by summing the outputs from both the SPM and ANN. Successful applicati
on of such a hybrid model is demonstrated.