Neural networks have been shown to be very useful for modeling and opt
imization of nonlinear and even chaotic processes. However, in using s
tandard neural network approaches to modeling and optimization of proc
esses in the presence of unmeasured disturbances, a dilemma arises bet
ween achieving the accurate predictions needed for modeling and comput
ing the correct gains required for optimization. As shown in this pape
r, the Focused Attention Neural Network (FANN) provides a solution to
this dilemma. Unmeasured disturbances are prevalent in process industr
y plants and frequently have significant effects on process outputs. I
n such cases, process outputs often cannot be accurately predicted fro
m the independent process input variables alone. To enhance prediction
accuracy, a common neural network modeling practice is to include oth
er dependent process output variables as model inputs. The inclusion o
f such variables almost invariably benefits prediction accuracy, and i
s benign if the model is used for prediction alone. However, the proce
ss gains, necessary for optimization, sensitivity analysis and other p
rocess characterizations, are almost always incorrect in such models.
We describe a neural network architecture, the FANN, which obtains acc
uracy in both predictions and gains in the presence of unmeasured dist
urbances. The FANN architecture uses dependent process variables to pe
rform feed-forward estimation of unmeasured disturbances, and uses the
se estimates together with the independent variables as model inputs.
Process gains are then calculated correctly as a function of the estim
ated disturbances and the independent variables. Steady-state optimiza
tion solutions thus include compensation for unmeasured disturbances.
The effectiveness of the FANN architecture is illustrated using a mode
l of a process with two unmeasured disturbances and using a model of t
he chaotic Belousov-Zhabotinski chemical reaction. (C) 1998 Elsevier S
cience Ltd. All rights reserved.