S. Lakshminarayanan et al., IDENTIFICATION OF HAMMERSTEIN MODELS USING MULTIVARIATE STATISTICAL TOOLS, Chemical Engineering Science, 50(22), 1995, pp. 3599-3613
The iterative Narendra-Gallman algorithm (NGA) for the identification
of a nonlinear system representable by the Hammerstein structure is ex
tended to perform simultaneous structure determination and parameter e
stimation of multivariable chemical process systems. The parameters of
the linear system obtained in state space form using canonical correl
ations analysis and the coefficients of the polynomial type nonlinear
elements are alternately adjusted, until convergence, to obtain the mo
del. The theory is illustrated using data from an experimental heat ex
changer and the simulation example of a realistically complex acid-bas
e neutralization tank.