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Beam Model Reduced System (sub−syste
m1)
100
Exact1
IRK−SLS1
0
−100
−200
10
−3
10
−2
10
−1
10
0
10
1
10
2
10
3
10
4
Frequency (Hz)
Beam Model Reduced System (sub−system2)
100
Exact2
IRK−SLS2
0
−100
−200
10
−3
10
−2
10
−1
10
0
10
1
10
2
10
3
10
4
Frequency (Hz)
Fig. 14 Largest singular value of the frequency response of the original switched system (beam of
order 348) and reduced one of order (24) to a frequency range with DRK-SLS method
switched linear system and reduced one over the entire low frequency range shape
with a low error rate.
The Fig.
15
shows the variation of the singular value of the absolute error
between the original switched linear system and the reduced one, note that the error
is small over the entire low frequency range. The distribution poles in the complex
Singular Values of the Error (sub−system1)
100
0
−100
−200
−300
10
−3
10
−2
10
−1
10
0
10
1
10
2
10
3
10
4
Frequency (Hz)
Singu
lar
V
alues of
f t
h
e
Error
(su
b−syste
m2
)
100
0
−100
−200
10
−3
10
−2
10
−1
10
0
10
1
10
2
10
3
10
4
Frequency (Hz)
Fig. 15 Absolute error system between original switched system (beam of order 348) and the
reduced one of order (24) with DRK-SLS method
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