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In-Depth Information
Table 1.2
Membership functions of terms
e
μ
~
-1
-0.75
-0.5
-0.25
0
0.25
0.5
0.75
1
i
μ
A
0
0
0
0
0
0
0.3
0.7
1
1
μ
A
0
0
0
0
0.3
0.7
1
0.7
0.3
2
μ
A
0
0
0.3
0.7
1
0.7
0.3
0
0
3
μ
0.3
0.7
1
0.7
0.3
0
0
0
0
A
4
μ
A
1
0.7
0.3
0
0
0
0
0
0
5
Let us assume that functioning of the governor is defined by following relations;
e
Δ
e
x
A
B
-1
A
B
-0.5
A
B
0
A
B
0.5
A
B
1
Certainly, collections of relations can be different. Following the formulated
relations, let us define an output signal of the governor under
e
=
0
25
Δ
e
=
0
;
.
Δ
e
=
0
Let us find values of membership functions of terms in points
e
=
0
25
;
,
[
()
( )
]
α
=
min
A
e
,
B
Δ
e
using Table 1.2. We'll denote
then:
i
i
i
(
)
α
=
min
0
=
0
x
=
−
1
1
1
(
)
α
=
min
0
=
0
7
x
=
−
0
2
2
(
)
α
=
min
0
=
0
x
=
0
3
3
()
α
=
min
0
=
0
x
=
0
4
4
()
α
=
min
0
=
0
x
=
1
5
5
Output signal of the governor
x
=
x
,
α
=
max
α
;
i
=
1
k
=
1
if
k
k
i
α
Maximum value of
is equal to 0.7, therefore the output signal of the governor
i
is equal to -0.5.
