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Fuzzy Logic Control Systems

Fuzzy Logic Control Systems. Ken Morgan ENGR 315 December 5, 2001. What is Fuzzy Logic?. Fuzzy logic allows any value between 0 and 1. Fuzzy logic is a superset of Boolean logic. Fuzzy logic allows half truths such as: “The cup is both half full and half empty.”. Fuzzy Logic Operations.

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Fuzzy Logic Control Systems

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  1. Fuzzy Logic Control Systems Ken Morgan ENGR 315 December 5, 2001

  2. What is Fuzzy Logic? • Fuzzy logic allows any value between 0 and 1. • Fuzzy logic is a superset of Boolean logic. • Fuzzy logic allows half truths such as: “The cup is both half full and half empty.”

  3. Fuzzy Logic Operations • Intersection • 0.4 AND 0.9 = 0.4 [min(A,B)] • Union • 0.4 OR 0.9 = 0.9 [max(A,B)] • Complement • NOT 0.4 = 0.6 (1 - A)

  4. Fuzzy Control FLC Decision-making Unit Fuzzification Unit Defuzzification Unit Rule Base Input Output

  5. Fuzzification Unit Actual measured value Actual measured value

  6. Rule Base • A collection of If-Then type statements that describe the desired effect. • Example: “If angle is low and angular velocity is very low, then speed is zero.”

  7. Defuzzification Unit

  8. Mathematica Example

  9. Simulation #1

  10. Simulation #2

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