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STFLWARP11 Datasheet(PDF) 8 Page - STMicroelectronics |
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STFLWARP11 Datasheet(HTML) 8 Page - STMicroelectronics |
8 / 19 page by the configuration in accordance with the antece- dent part of the fuzzy rules. The duration of the fuzzification process depends from the chosen configuration and the input number. Inference Unit. Thanks to the Theta Operator, the Inference Unit generates the THETA weights which are used to manipulate the consequent MFs. This is a calculation of the maximum and/or mini- mum performed on ALPHA values according to the logical connectives of fuzzy rules. It is possible to utilize the AND/OR connectives and to directly ex- ploit ALPHA weights or the negated values. The number of THETA weights depends on the number of rules. The rules can have at maximum four ALPHA weights (however they are connected). Two or more rules can be only joined with the OR connec- tive. Inference Unit structure is shown in figure 5. Defuzzifier. It generates the output crisp values implementing the consequent part of the rules ac- cording to MAX-DOT method. In this method consequent MFs are multiplied by a weight value Ω (OMEGA), which is calculated on the basis of antecedent MFs and logical operators. All the terms needed to evaluate sums in numerator and denominator of center of gravity equation (see formula) are stored during the off-line phase. The processing of fuzzy rules produces, for each output variable, a resulting membership function. Each MF related to the processed output variable is firstly modified by a rule weight in accordance to MAX-DOT method. Output value (X) is deduced from the centroids (xi) and the modified MFs ( Ωi *Ai) by using the formula: X = ∑ 1 n Ω i ∗ A i ∗ x i ∑ 1 n Ω i ∗ A i n = number of MFs defined for the Output Variable Ai=MFi Area xi=absciss of the MFi centroid Ωi =membership degree of the output MFi. To represent a membership function related with the THEN-part of a rule W.A.R.P. uses a single memory bench. For each consequent MF each memory word contains both the area multiplied with the barycentre and the area itself. This area is related to the first truth level (there are 16 truth levels (4 bit), so a multiplication with the calculated THETA must be performed on-line. Two parallel blocks calculate the numerator and denominator values to implement the centroids formula. A final division block calculates the output values (see figure 6). Figure 6. Inference Unit Structure 8/19 W.A.R.P.1.1 |
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