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The input signal is de
ned as follows:
1
for
x 2 [
1
ð
Þ ¼
u
t
x 2
0
for
1
and the unknown input is de
ned as a sine wave signal of amplitude 1.2 and
frequency 0
rad/s.
In order to show the effectiveness of the used modeling method, the nonlinear
model and its approximation by the T-S fuzzy model are given in the following
Figs. 7 and 8 .
:
25
P
1.5
x1
xm1
1
0.5
0
6
0
1
2
3
4
5
7
8
9
10
t(s)
Fig. 7 x 1 of prey population and x m1 of the fuzzy bilinear model
2.5
2
x2
xm2
1.5
1
0.5
0
1
2
3
8
9
0
4
5
6
7
10
t(s)
Fig. 8 x 2 of prey population and x m2 of the fuzzy bilinear model
 
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