Consider A Fkbc System In Which The Input U T Only Depends Upon The Error Signal E T Assume That The Universe Of Dis 1 (56.77 KiB) Viewed 21 times
Consider a FKBC system in which the input u(t) only depends upon the error signal, e(t). Assume that the universe of discourse for the two variables are:-2 s e(t) = 2 and – 45 u(t) < 4. Let's design three types of linguistic variables for both the input and error signals as, positive (P), zero (Z) and negative (N). The membership functions of the error signal are shown below. N iz P -2 -1 0 1 2 e The membership functions of the input signal are shown below. N Z Р -4 -2 2 4 u
The fuzzy inference rules consist of the following three rules: Rule 1: If the error is positive (P), then the input is also positive (P). Rule 2: If the error is zero (Z), then the input is also zero (Z). Rule 3: If the error is negative (N), then the input is also negative (N). At time t, the measured error signal is given as e(t) = 0.5. Use the fuzzy inference engine to compute the output from the inference engine, and then defuzzify it into a crisp number, which will be used as the input u*(t) to the plant. Which one of the following is the defuzzified input u*(t)? 20 A) u* (t) - 51 B) u* (t) 10 27 C) u* (t) = 11 27 25 D) u* (t) 51
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