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FUZZY LOGIC
CONTROL SYSTEM
GUIDED BY
MRS. SANGITA PAL
PRESENTED BY
RAJANIKANTA PRADHAN
MCA 4TH SEM
IGIT Sarang
8895247580
1
• Introduction
• Fuzzy Set vs. Crisp Set
• Membership Function
• Fuzzification
• Defuzzification
• Working principle
• Conclusion
• References
CONTENTS
2
Fuzzy logic is best suited for control applications
The ability to embed imprecise human reasoning and complex
problems is the criterion by which the efficiency of fuzzy logic is
judged.
Fuzziness describes the ambiguity of an event. But not the uncertainty
in the randomness
Introduction
3
Fuzzy Set vs. Crisp Set
A classical set is defined by crisp boundaries.
A fuzzy set, on the other hand, is prescribed by ambiguous properties
resulting in ambiguous boundaries
4
Membership Function & it’s features
characterizes the fuzziness in a fuzzy set
whether the elements in the set are discrete or continuous - in a
graphical form for eventual use in the mathematical formalisms of
fuzzy set theory.
The core of a membership function  (x) =
1.
The support is given by  A(x) > 0.
Boundaries are given by 0 < A (x) < 1.
5
Fuzzification
Fuzzification is the process of making a crisp quantity fuzzy.
They carry considerable uncertainty.
If the form of uncertainty arises because of imprecision or fuzziness,
it can be represented by a membership function.
institution method is used for fuzzification of the input variables.
6
Defuzzification is the conversion of a fuzzy quantity to a precise
quantity.
Defuzzification techniques :
1. Max - Membership Principle:
known as height method is limited to peaked output junctions. Given
by
c (Z*)   (Z) for all z  C
2. Centroid Method:
also called center of area, center of gravity given by
Z* =
Defuzzification


(Z)dzCμ
(Z).zdzCμ
~
~
7
3. Weighted Average Method:
It’s valid for symmetrical O/P membership function. Given by
Z* = where  denotes an algebraic sum.
4. Means-Max Membership: ( middle of maxima )
The MAX membership can be a plateau rather than a single point.
Given by
Z* =


)z(cμ
z).z(cμ
~
~
2
ba 
8
Obstacle Sensor Unit
• Sensing Distance:
The sensing distance depends upon the speed of the car. speed can be
controlled by gradual anti skid braking system.
Input Membership Function for velocity
9
Fuzzy logic control system
Input Membership function for distance:
10
Output - Membership Function For break:
11
Set of rules for breaking system
12
0 10 20 30 40 50 60 70 80 90 100
VS 1 .7 0.5 0 0 0 0 0 0 0 0
S 0 0 0.5 1 0.5 0 0 0 0 0 0
F 0 0 0 0 0 0.5 1 0.5 0 0 0
VF 0 0 0 0 0 0 O 0 0.5 1 0.5
VELOCITY
0 10 20 30 40 50 60 70 80 90 100
VN 1 .7 0.5 0 0 0 0 0 0 0 0
N 0 0 0.5 1 0.5 0 0 0 0 0 0
F 0 0 0 0 0 0.5 1 0.5 0 0 0
VF 0 0 0 0 0 0 O 0 0.5 1 0.5
DISTANCE
Conclusion
An automated accident prevention system is necessary to prevent
accidents.
The fuzzy logic control system can relieve the driver from tension &
prevents accidents.
This fuzzy control unit results in an accident free world.
13
References
• Timothy J. Ross “Fuzzy logic for Engineering Applications”, 2nd
edition, Pearson education
• http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?reload=true&punumber
=91
•
14
AN ACCIDENT FREE WORLD
THANK YOU
15

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Fuzzy logic control system

  • 1. FUZZY LOGIC CONTROL SYSTEM GUIDED BY MRS. SANGITA PAL PRESENTED BY RAJANIKANTA PRADHAN MCA 4TH SEM IGIT Sarang 8895247580 1
  • 2. • Introduction • Fuzzy Set vs. Crisp Set • Membership Function • Fuzzification • Defuzzification • Working principle • Conclusion • References CONTENTS 2
  • 3. Fuzzy logic is best suited for control applications The ability to embed imprecise human reasoning and complex problems is the criterion by which the efficiency of fuzzy logic is judged. Fuzziness describes the ambiguity of an event. But not the uncertainty in the randomness Introduction 3
  • 4. Fuzzy Set vs. Crisp Set A classical set is defined by crisp boundaries. A fuzzy set, on the other hand, is prescribed by ambiguous properties resulting in ambiguous boundaries 4
  • 5. Membership Function & it’s features characterizes the fuzziness in a fuzzy set whether the elements in the set are discrete or continuous - in a graphical form for eventual use in the mathematical formalisms of fuzzy set theory. The core of a membership function  (x) = 1. The support is given by  A(x) > 0. Boundaries are given by 0 < A (x) < 1. 5
  • 6. Fuzzification Fuzzification is the process of making a crisp quantity fuzzy. They carry considerable uncertainty. If the form of uncertainty arises because of imprecision or fuzziness, it can be represented by a membership function. institution method is used for fuzzification of the input variables. 6
  • 7. Defuzzification is the conversion of a fuzzy quantity to a precise quantity. Defuzzification techniques : 1. Max - Membership Principle: known as height method is limited to peaked output junctions. Given by c (Z*)   (Z) for all z  C 2. Centroid Method: also called center of area, center of gravity given by Z* = Defuzzification   (Z)dzCμ (Z).zdzCμ ~ ~ 7
  • 8. 3. Weighted Average Method: It’s valid for symmetrical O/P membership function. Given by Z* = where  denotes an algebraic sum. 4. Means-Max Membership: ( middle of maxima ) The MAX membership can be a plateau rather than a single point. Given by Z* =   )z(cμ z).z(cμ ~ ~ 2 ba  8
  • 9. Obstacle Sensor Unit • Sensing Distance: The sensing distance depends upon the speed of the car. speed can be controlled by gradual anti skid braking system. Input Membership Function for velocity 9 Fuzzy logic control system
  • 10. Input Membership function for distance: 10
  • 11. Output - Membership Function For break: 11
  • 12. Set of rules for breaking system 12 0 10 20 30 40 50 60 70 80 90 100 VS 1 .7 0.5 0 0 0 0 0 0 0 0 S 0 0 0.5 1 0.5 0 0 0 0 0 0 F 0 0 0 0 0 0.5 1 0.5 0 0 0 VF 0 0 0 0 0 0 O 0 0.5 1 0.5 VELOCITY 0 10 20 30 40 50 60 70 80 90 100 VN 1 .7 0.5 0 0 0 0 0 0 0 0 N 0 0 0.5 1 0.5 0 0 0 0 0 0 F 0 0 0 0 0 0.5 1 0.5 0 0 0 VF 0 0 0 0 0 0 O 0 0.5 1 0.5 DISTANCE
  • 13. Conclusion An automated accident prevention system is necessary to prevent accidents. The fuzzy logic control system can relieve the driver from tension & prevents accidents. This fuzzy control unit results in an accident free world. 13
  • 14. References • Timothy J. Ross “Fuzzy logic for Engineering Applications”, 2nd edition, Pearson education • http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?reload=true&punumber =91 • 14
  • 15. AN ACCIDENT FREE WORLD THANK YOU 15