identification of mimo volterra series and application to fcc unit论文.pdf

6013
As such, the system described by (5) can also be
described by the following Volterra-Laguerre model
N M M
y(k) = L L ... L L ... L Oi,in(/I, ... ,ln)(L
h=l
"
L I , (jllui,(k -iI» ... (L Lln (jn)Uin (k - jn» (8)
i"=l
As seen from (3) that the number of outputs does In practice, only finite order and finite memory
not affect the Volterra expression due to no involve• length of Laguerre functions can be handled. Hence,
ment of autoregressive terms. Inspired by this re• the following approximation has to be made
sult, we define a N-th order multivariable Volterra
series as N M M
jj(k) = L L'" L L'" L Oi, .. in(lI,"· ,In)(L
y(t) =tt ... t[ [h"in(TI""'Tn)
n=11 1=1 In=1 0 0 L I , (iJ)Ui, (k - il»··· (L Lln (jn)Uin (k - jn» (9)
Ui, (t - TJl ... "in (t -