HCS12 datasheet(348/452 Pages) FREESCALE

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S12CPUV2 Reference Manual, Rev. 4.0

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Freescale Semiconductor

Figure 9-4. Defining a Normal Membership Function

An internal CPU algorithm calculates the y-value where the current input

intersects a membership function. This algorithm assumes the membership

function obeys some common-sense rules. If the membership function

definition is improper, the results may be unusual. See 9.4.2 Abnormal

Membership Function Definitions for a discussion of these cases.

These rules apply to normal membership functions.

• $00 ≤ point1 < $FF

• $00 < point2 ≤ $FF

• point1 < point2

• The sloping sides of the trapezoid meet at or above $FF.

Each system input such as temperature has several labels such as cold,

cool, normal, warm, and hot. Each label of each system input must have a

membership function to describe its meaning in an unambiguous numerical

way. Typically, there are three to seven labels per system input, but there is

no practical restriction on this number as far as the fuzzification step is

concerned.

GRAPHICAL REPRESENTATION

$00

$10

$20

$30

$40

$50

$60

$70

$80

$90

$A0

$B0

$C0

$D0

$E0

$F0

$FF

$00

$20

$40

$60

$80

$A0

$FF

$E0

$C0

MEMORY REPRESENTATION

ADDR

ADDR+1

ADDR+2

ADDR+3

$40

$D0

$08

$04

X-POSITION OF point_1

X-POSITION OF point_2

slope_1 ($FF/(X-POS OF SATURATION – point_1))

slope_2 ($FF/(point_2 – X-POS OF SATURATION))

point_1

point_2

slope_1

slope_2

DEGREE

TRUTH

INPUT RANGE

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