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Fuzzy Logic Control: Comprehensive Rules and Membership Functions for Valve Regulation

rafael-craig avatar
rafael-craig
16 diapositives · 323 Views · Nov 17, 2014

This document presents a detailed exploration of fuzzy logic control systems applied to valve regulation. It outlines multiple rules for controlling valve position in response to level and error rates, providing insight into the decision-making process for various states. The fuzzification of input signals allows for nuanced control, with rules dictating responses based on levels (e.g., normal, low, high) and error metrics (e.g., zero, positive, negative). Membership functions are also established to define control signals alongside comprehensive examples of fuzzy control applications.

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  1. Fuzzy Logic Fuzzy Control Solution: Homework 8

  2. Fuzzy Logic Fuzzy Control Solution: Homework 8 (Cont.) FC with 5 Rules • Rule 1:IF level is okay, THEN valve is no change. • Rule 2: IF level is low, THEN valve is open fast. • Rule 3: IF level is high, THEN valve is close fast. • Rule 4: IF level is okay AND rate is negative, THEN valve is open slow. • Rule 5: IF level is okay AND rate is positive, THEN valve is close slow. • Rule 1:IF error is zero, THEN valve is no change. • Rule 2: IF error is positive,THEN valve is open fast. • Rule 3: IF error is negative,THEN valve is close fast. • Rule 4: IF error is zero AND error rate is positive, THEN valve is open slow. • Rule 5: IF error is zero AND error rate is negative, THEN valve is close slow. error=reference – level rate of error= – rate oflevel

  3. Fuzzy Logic Fuzzy Control no change close slow open slow close fast open fast 1 –30 –20 –10 0 10 20 30 negative zero positive negative zero positive 1 1 –5 –4 0 45 –4 –0.5 0 0.5 4 Solution: Homework 8 (Cont.) 1st Set of Membership Functions Level error [cm] Rate of level error [cm/s] Valve control signal [%/s]

  4. Fuzzy Logic Fuzzy Control Solution: Homework 8 (Cont.)

  5. Fuzzy Logic Fuzzy Control no change close slow open slow close fast open fast 1 –30 –20 –10 0 10 20 30 negative zero positive negative zero positive 1 1 –5 1 0 1 5 –4 –0.5 0 0.5 4 Solution: Homework 8 (Cont.) 2nd Set of Membership Functions Level error [cm] Rate of level error [cm/s] Valve control signal [%/s]

  6. Fuzzy Logic Fuzzy Control Solution: Homework 8 (Cont.)

  7. Fuzzy Logic Fuzzy Control no change close slow open slow close fast open fast 1 –30 –20 –10 0 10 20 30 negative zero positive negative zero positive 1 1 –10 –4 0 4 10 –4 –0.5 0 0.5 4 Solution: Homework 8 (Cont.) 3rd Set of Membership Functions Level error [cm] Rate of level error [cm/s] Valve control signal [%/s]

  8. Fuzzy Logic Fuzzy Control Solution: Homework 8 (Cont.)

  9. Fuzzy Logic Fuzzy Control y e r u + – PID-like Fuzzy Controllers Fuzzy P Controller

  10. Fuzzy Logic Fuzzy Control e r + y u – PID-like Fuzzy Controllers Fuzzy PD Controller

  11. Fuzzy Logic Fuzzy Control + y r e u – Fuzzy Control of Single Tank Fuzzy PID Controller • Weakness: too many rules

  12. Fuzzy Logic Fuzzy Control e r + y Du – Fuzzy Control of Single Tank Fuzzy PD+I Controller

  13. Fuzzy Logic Fuzzy Control u y e r + – Du + + Fuzzy Control of Single Tank Fuzzy PD+I Controller

  14. Fuzzy Logic Fuzzy Control u y e r + – + + Fuzzy Control of Single Tank Fuzzy PD+I Controller

  15. Fuzzy Logic Fuzzy Control End of the Lecture