Information Technology Reference
In-Depth Information
3.1 Numerical Example
To evaluate this approach, two switched linear stable models (FOM of order 1006
and Clamped Beam of order 348) and a switched signal where q = 1, 2 are taken
(Chahlaoui and Dooren
2005
; Diepold and Eid
2011
; Mignone et al.
2000
):
Example 1 Switched FOM model of order 1006
The FOM model is a theoretical SISO (single-input single output) model of
order 1006 proposed by Penzl in 1999, it is composed of two subsystems, every one
of order 1006. The state-space matrices are given by: A
1
¼ diag
ðc
1
; c
2
; c
3
; c
4
Þ
with,
1
100
c
1
¼
;
100
1
1
200
c
2
¼
;
200
1
1
400
c
3
¼
;
400
1
c
4
¼ diag
ð
1
; ...;
1
;
000
Þ;
B
1
¼½
B
1
;
ð
;
Þ;
ð
;
;
Þ;
C
1
¼
D
1
¼
:
10
ones
6
1
ones
1
000
1
0
A
2
¼
A
1
5
I
;
B
2
¼
B
1
;
C
2
¼
C
1
;
D
2
¼
D
1
:
The Fig.
1
presents the largest singular value of the frequency response of the
original switched system FOM of order 1006.
50
0
−50
10
−1
10
0
10
1
10
2
10
3
10
4
Frequency (Hz)
40
20
0
−20
−40
10
−1
10
0
10
1
10
2
10
3
10
4
Frequency (Hz)
Fig. 1 Largest singular value of the frequency response of the original switched system (FOM of
order 1006)
Search WWH ::
Custom Search