Example 10.7 A fuzzy logic controller has input and output fuzzy windows as shown in Figure 10.39. The fuzzy rulebase is given in Figure 10.40. If defuzzification is by the centre of area method, calculate crisp control signals u(t) when the error e(t) and the rate of change of error ce(t) have the following values: (i) (III) (iv) e(t) ce(t) [Answer u(t)] 0 -2 1 1.5 4 -1.5 u(e) 1.0- 0.8+ Note: For the centre of area method, use only those values inside the dotted lines in the output window. dce) 1.0 0.8+ 0.6 0.4 0.2+ XX EXX 10 0.6+ 0.4 0.2+ Input Windows Lu 1.0+ 0.8+ 0.6+ 0.4 0.2+ -6.67 -2.66 Output Window 3.01 0.106 (a) N C 10 u -2 (b) 8 N NB PB Fig. 10.40 Fuzzy rulebase for Example 10.7. NB NB NB N N NB N PB PB N PB PB

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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Example 10.7
A fuzzy logic controller has input and output fuzzy windows as shown in Figure
10.39. The fuzzy rulebase is given in Figure 10.40. If defuzzification is by the centre of
area method, calculate crisp control signals u(t) when the error e(t) and the rate of
change of error ce(t) have the following values:
e(t) ce(t) [Answer u(1)]
(1)
0
-2
-4 -1
(iii)
1
1.5
(iv) 4 -1.5
u(e)
1.0-
Note: For the centre of area method, use only those values inside the dotted lines in
the output window.
1.0
0.8+
0.6
0.4
0.2+
-2
XXXX
LXX
10
0
(c)
0.8+
0.6+
0.4
0.2+
Input Windows
1.0+
0.8+
0.6+
0.4
0.2+
-5
-6.67
-2.66
Output Window
3.01
0.106
0
(a)
N
10
u
(b)
œ
NB
Z
PB
Fig. 10.40 Fuzzy rulebase for Example 10.7.
NB
NB
NB
Z
N
NB
PB
PB
N
PB
PB
Transcribed Image Text:Example 10.7 A fuzzy logic controller has input and output fuzzy windows as shown in Figure 10.39. The fuzzy rulebase is given in Figure 10.40. If defuzzification is by the centre of area method, calculate crisp control signals u(t) when the error e(t) and the rate of change of error ce(t) have the following values: e(t) ce(t) [Answer u(1)] (1) 0 -2 -4 -1 (iii) 1 1.5 (iv) 4 -1.5 u(e) 1.0- Note: For the centre of area method, use only those values inside the dotted lines in the output window. 1.0 0.8+ 0.6 0.4 0.2+ -2 XXXX LXX 10 0 (c) 0.8+ 0.6+ 0.4 0.2+ Input Windows 1.0+ 0.8+ 0.6+ 0.4 0.2+ -5 -6.67 -2.66 Output Window 3.01 0.106 0 (a) N 10 u (b) œ NB Z PB Fig. 10.40 Fuzzy rulebase for Example 10.7. NB NB NB Z N NB PB PB N PB PB
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