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Fig. 21 Evolution of flow in
presence of PI regulator
(bell) and one divided the universe of speech of each one into three sets: Z, P, and
N. Thus, by using all the possible combinations, nine fuzzy rules were generated for
five singletons on the level of the consequence part as it shows in Table 2 (Fig. 22 ).
The rules can be written in the following way:
if
ð
e
is A
Þ
and
ð
e
is B
Þ
then U cf ¼
S i
ðÞ
e ;
ð
41
Þ
One uses the method min max like engine of inferences and the centre of gravity
for the defuzzi
cation. The exit of the fuzzy controller can be written in the fol-
lowing form:
Table 2 Inference matrix of
the fuzzy controller
N
Z
P
N
PG
PN
NM
Z
PM
Z
NM
P
PM
NM
NG
Fig. 22 Functional diagram of system buckled with a fuzzy
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