1. [10 marks] A fuzzy system is used to control the temperature in a room. The inputs to the controller are the ‘Temperature’ and ‘Temperature change’. The outputs are the ‘Fan Speed’ and ‘Heater power’. The membership functions are shown in the following figures
and the rule base is described by the following table
LOW
MEDIUM
HIGH
NEG
LOW/ON
ON/LOW
MEDIUM/ON
ZERO
LOW/ON
LOW/OFF
MEDIUM/OFF
POS
LOW/OFF
MEDIUM/OFF
HIGH/OFF
If the temperature is 22°C and the change of temperature is 4°C/hr, answer the following questions:
a) What is the result of fuzzification of those inputs?
b) Use the rules and Mamdani inference to specify the output fuzzy membership functions.
c) Calculate the ‘Heater power’ and ‘Fan speed’ using your choice of defuzzification method.
