Fuzzy Controller
Fuzzy Controller
Fuzzy Controller
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<strong>Fuzzy</strong> Inference<br />
Combining and Decomposition of <strong>Fuzzy</strong> Sets<br />
‣ If x is A then y is B<br />
Fact<br />
rule<br />
x is A<br />
If x is A then y is B<br />
Consequence y is B<br />
‣ Given an input of A’ fuzzy set or crisp value A’<br />
Fact x is A’<br />
rule<br />
If x is A then y is B<br />
Consequence y is B’<br />
11<br />
<strong>Fuzzy</strong> Inference<br />
Single Rule with Single Antecedent<br />
‣ µ B’ (y) = U [µ A’ (x) ^µ A (x) ] ^ µ B (y)<br />
= ω ^ µ B (y)<br />
ω is called the rule firing strength<br />
B<br />
A A’<br />
B’<br />
ω<br />
y<br />
x<br />
12
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