Fuzzy Logic Controller for Water Pump System

Description

This project implements a Fuzzy Logic Controller for a water pump system. The controller takes water pressure and water demand as inputs and outputs pump activation using fuzzy logic.

Fuzzy Logic Variables

Inputs

1. Water Pressure

   • Linguistic Variable: Low, Moderate, High
   • Universe of Discourse: 0-100
   • Membership Functions:
     • Low Pressure:

       def low_pressure(u: float) -> float:
           if u >= 40:
               return 0
           return (40 - u) / 40

     • Moderate Pressure:

       def moderate_pressure(u: float) -> float:
           res = 0
           if u <= 20 or u >= 60:
               return 0
           if u >= 20 and u <= 40:
               res = (u - 20) / (40 - 20)
           elif u >= 40 and u <= 60:
               res = (60 - u) / (60 - 40)
           return res

     • High Pressure:

       def high_pressure(u: float) -> float:
           if u <= 40:
               return 0
           if u >= 40 and u <= 70:
               return (u - 40) / (70 - 40)
           return 1.0

2. Water Demand

   • Linguistic Variable: Low, Moderate, High
   • Universe of Discourse: 0-100
   • Membership Functions:
     • Low Demand:

       def low_demand(u: float) -> float:
           if u >= 30:
               return 0
           return (30 - u) / 30

     • Moderate Demand:

       def moderate_demand(u: float) -> float:
           res = 0
           if u <= 20 or u >= 80:
               return 0
           if u >= 20 and u <= 40:
               return (u - 20) / (40 - 20)
           if u >= 40 and u <= 60:
               return 1.0
           if u >= 60 and u <= 80:
               return (80 - u) / (80 - 60)

     • High Demand:

       def high_demand(u: float) -> float:
           if u <= 60:
               return 0
           if u >= 60 and u <= 80:
               return (u - 60) / (80 - 60)
           return 1.0

Output

1. Pump Activation
   • Linguistic Variable: Deactivate, Half, Full

Rules

	LOW	MODERATE	HIGH
LOW	DEACTIVATE	HALF	FULL
MODERATE	DEACTIVATE	DEACTIVATE	FULL
HIGH	DEACTIVATE	DEACTIVATE	HALF

Inference and Output

1. Fuzzify input variables.

2. Apply rules defined in system responses for different input conditions.

3. Calculate center of gravity and convert fuzzy output to a crisp value.