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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
subject
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25ae5cee-e613-4d4d-8940-d6aa602ff29d%2Fe8b4f777-38eb-4c5e-8f3d-f4baaabb3be7%2Foy1fig9_processed.jpeg&w=3840&q=75)
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
