Digital Signal Processing Reference
In-Depth Information
A
C
D
E
B
B
C
A
D
Time
E
-
P
(
t
)
IN
(
t
)
=
2
Time
Criterion signal
Fig. 11.5
Classical and fuzzy criteria signals—an example
depiction of the measurement uncertainty, especially during transients, that is also
just after the fault/disturbance inception.
In Fig.
11.5
a bell-shaped MF was used to represent measurement dynamics.
This is not the only option, in engineering applications the following versions may
also be applied (the function names used in equations below correspond to the
names from MATLAB/Simulink software), to name only a few of them [
10
,
12
]:
• triangle MF
;
0
:
b
a
;
c
x
x
a
trimf
ð
x; a
;
b
;
c
Þ¼
max min
ð
11
:
16
Þ
c
b
• trapezoidal MF
;
0
:
x
a
b
a
;
1
;
d
x
trapmf
ð
x; a
;
b
;
c
;
d
Þ¼
max
min
ð
11
:
17
Þ
d
c
• Gaussian MF
ð
2
gaussmf
ð
x; c
;
r
Þ¼
e
2
x
c
:
ð
11
:
18
Þ
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