organisation = "IEEE Neural Network Council (NNC), Evolutionary
Programming Society (EPS), Institution of Electrical
Engineers (IEE)",
publisher = "IEEE Press",
keywords = "genetic algorithms, genetic programming, System
identification, Hammerstein models, Nonlinear systems,
Evolutionary computation, Akaike information criterion,
Hammerstein model identification method, genetic
programming, least square method, nonlinear dynamic
system, nonlinear static block, system identification,
training data, identification, nonlinear dynamical
systems",
ISBN = "0-7803-6658-1",
DOI = "doi:10.1109/CEC.2001.934359",
abstract = "We address a novel approach to identify a nonlinear
dynamic system for a Hammerstein model. The Hammerstein
model is composed of a nonlinear static block in series
with a linear, dynamic system block. The aim of system
identification is to provide the optimal mathematical
model of both nonlinear static and linear dynamic
system blocks in some appropriate sense. We use genetic
programming to determine the functional structure for
the nonlinear static block. Each individual in genetic
programming represents a nonlinear function structure.
The unknown parameters of the linear dynamic block and
the nonlinear static block given by each individual are
estimated with a least square method. The fitness is
evaluated by AIC (Akaike information criterion) as
representing the balance of model complexity and
accuracy. It is calculated with the number of nodes in
the genetic programming tree, the order of the linear
dynamic model and the accuracy of model for the
training data. The results of numerical studies
indicate the usefulness of proposed approach to
Hammerstein model identification",
notes = "CEC-2001 - A joint meeting of the IEEE, Evolutionary
Programming Society, Galesia, and the IEE.