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To validate the obtained models, we have considered a new input-output mea-
surement
file having a length N = 160 shown in Fig.
16
.
The real and the estimated validation outputs and the errors are presented in
Fig.
17
.
2000
1500
1000
500
0
0
20
40
60
80
100
120
140
160
180
k
Fig. 16 The validation input
(a)
(b)
120
120
100
100
80
80
estimated y
real y
60
60
estimated y
real y
40
40
20
20
0
0
0
20
40
60
80
100
120
140
160 180
0
20
40
60
80
100
120
140
160 180
k
k
2
1
1.5
0.5
1
0.5
0
0
−0.5
−0.5
−1
−1
0
20
40
60
80
100
120
140
160 180
0
20
40
60
80
100
120
140
160 180
k
k
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