Advanced control engineering (S.R. Burns, 2001)
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$ # # # # # # #
# # # |
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µ |
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Medium |
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1.0 |
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Temperature |
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Membership |
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Function |
0.8 |
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0.6 |
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0.4 |
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0.2 |
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0 |
10 |
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30 |
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50 |
Temperature (°C)
µ
Medium
Temperature
1.0
Membership 0.8
Function
0.6
M
0.4
0.2
0 |
10 |
20 |
30 |
40 |
50 |
Universe of Discourse (Temperature (°C))
#
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$ # $ |
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$
µ
1.0
Membership
Function |
0.8 |
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0.6 |
L |
M |
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0.4 |
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0.2 |
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0 |
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30 |
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Universe of Discourse (Temperature (°C)) |
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$ # # # # |
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# # # #
# $ # # |
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# $ # # # # # # |
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# # # # |
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$ # # # # # |
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# # # |
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$ # # # |
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# # # # |
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# # # |
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µ
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1.0 |
L |
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M |
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Membership |
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Function |
0.8 |
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µ L+M(u) |
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0.6 |
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µ L∩M(u) |
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0.4 |
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0.2 |
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0 |
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50 |
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Temperature (°C) |
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µ |
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1.0 |
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Membership |
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Function |
0.8 |
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µ¬M(u) |
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0.6 |
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0.4 |
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0.2 |
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0 |
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50 |
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Temperature (°C) |
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$ # # # # |
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Data |
Rule |
Knowledge Base |
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Base |
Base |
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FLC |
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u(t) |
c(t) |
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r(t) + |
e(t) |
Fuzzy |
Defuzzification |
Plant |
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Fuzzification |
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– |
Inference |
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Measurement |
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System |
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$ $
$ |
$ |
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$ |
$ |
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M
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µ(e) 1.0 |
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0.8 |
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0.6 |
NE |
NM |
NS |
Z |
PS |
PM |
PB |
0.4 |
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0.2 |
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–6 |
–4 |
–2 |
0 |
2 2.5 |
4 |
6 |
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Error (e) |
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µ(ce) 1.0 |
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0.8 |
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0.6 |
NE |
NM |
NS |
Z |
PS |
PM |
PB |
0.4 |
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0.2 |
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–1 |
–0.67 |
–0.33 –0.2 |
0 |
0.33 |
0.67 |
1 |
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Rate of Change Of Error (ce) |
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$ |
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M M
$
$
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e |
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ce |
NB |
NM |
NS |
Z |
PS |
PM |
PB |
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NB |
NB |
NB |
NB |
NM |
Z |
PM |
PB |
NM |
NB |
NB |
NB |
NM |
PS |
PM |
PB |
NS |
NB |
NB |
NM |
NS |
PS |
PM |
PB |
Z |
NB |
NM |
NS |
Z |
PS |
PM |
PB |
PS |
NB |
NM |
NS |
PS |
PM |
PB |
PB |
PM |
NB |
NM |
NS |
PM |
PB |
PB |
PB |
PB |
NB |
NM |
Z |
PM |
PB |
PB |
PB |
µ(u) 1.0 |
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0.8 |
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0.6 |
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NB |
NM |
NS |
Z |
PS |
PM |
PB |
0.4 |
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0.2 |
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–9 |
–6 |
–3 |
0 |
3 |
6 |
9 |
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Control Signal (u) |
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M |
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$ |
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$ |
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$ $ |
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M |
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$ |
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$ $ |
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$ |
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$ |
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$ $ M
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# |
$ |
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# |
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$ |
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µ(u) 1.0
0.8 |
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0.6 |
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0.4 |
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PS |
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0.2 |
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PM |
–9 |
–6 |
–3 |
0 |
3 |
6 |
9 |
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Control Signal (u) |
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M
$ $
$ $
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$ |
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$ |
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