A methodology is presented to obtain approximate models from input-out
put data, particularly oriented to implement a model-predictive contro
l scheme. Causal, time-invariant nonlinear discrete systems with a cer
tain type of continuity condition called fading memory are dealt with.
To synthesize the nonlinear model a finite-dimensional linear dynamic
part (discrete Laguerre polynomials) is used, followed by a nonlinear
nonmemory map (single hidden-layer perceptron). Results of the applic
ation to approximate and control a binary distillation column are pres
ented.