2010 | OriginalPaper | Chapter
An Optimal Two-stage Identification Algorithm for Hammerstein–Wiener Nonlinear Systems
Author : Er-Wei Bai
Published in: Block-oriented Nonlinear System Identification
Publisher: Springer London
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Consider a scalar stable discrete time nonlinear dynamic system represented by
1
$$ y(k) = \sum_{i=1}^{p} a_i \{ \sum_{l=1}^q d_l g_l[y(k-i)]\} + \sum_{j=1}^{n} b_j \{ \sum_{t=1}^{m} c_t f_t[u(k-j)] \} + \eta(k) $$
where
y
(
k
),
u
(
k
) and
η
(
k
) are the system output, input and disturbance at time
k
respectively. The
g
l
(·)’s and
f
t
(·)’s are non-linear functions