PerformanceIndicator

Indicator function using fuzzy membership functions

Diagram

Information

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The output y is the dimensionless degree of membership to the set of "good performances" or "good outcomes" according to a chosen type of membership function. Using the PerformanceIndicator allows to quickly grasp how a system is currently performing with regard to some criteria: a value of 1 indicates best possible performance, while a value of 0 indicates unsustainable performance.

The following grid displays all available membership function types without inversion (invertResults = false):

Membership Functions

Parameters

Membership Function Type a b c d

ramp foot shoulder

triangular left foot center right foot

trapezoidal left foot left shoulder right shoulder right foot

sshaped foot shoulder

sigmoidal steepness of transition area center of transition area

pishaped left foot left shoulder right shoulder right foot

psigmoidal steepness of left transition center of left transition area steepness of right transition center of right transition area

gaussian half width at half maximum center of curve (maximum)

bell width of core steepness center of core

Parameters
Membership Function Type	a	b	c	d
ramp	foot	shoulder
triangular	left foot	center	right foot
trapezoidal	left foot	left shoulder	right shoulder	right foot
sshaped	foot	shoulder
sigmoidal	steepness of transition area		center of transition area
pishaped	left foot	left shoulder	right shoulder	right foot
psigmoidal	steepness of left transition	center of left transition area	steepness of right transition	center of right transition area
gaussian	half width at half maximum		center of curve (maximum)
bell	width of core	steepness	center of core

When inversion is turned on (invertResult = true) the result obtained from the membership function as specified will be subtracted from 1. Thus the ramp shown above can be made to ramp down from left to right with a being the shoulder and b the foot by inverting the results.

Parameters (10)

convertInput	Value: false Type: Boolean Description: = true, if the input value is a rate or time variable that needs to be converted
inputIsRate	Value: false Type: Boolean Description: = true, if the input is given in units of time, otherwise it is assumed to be a rate
convertOutput	Value: false Type: Boolean Description: = true, if the output value is a rate or time variable that needs to be converted
outputIsRate	Value: false Type: Boolean Description: = true, if the output is given in units of time, otherwise it is assumed to be a rate
a	Value: Type: InputType Description: Parameter to control shape of membership function
b	Value: Type: InputType Description: Parameter to control shape of membership function
c	Value: Type: InputType Description: Parameter to control shape of membership function
d	Value: Type: InputType Description: Parameter to control shape of membership function
mft	Value: MembershipFunctionTypes.ramp Type: MembershipFunctionTypes Description: Membership function type to use
invertResult	Value: false Type: Boolean Description: = true, if the degree of membership is to be inverted (i.e., y = 1 - mf(u))

Connectors (4)

	y	Type: RealOutput Description: Output signal
	u	Type: RealInput Description: Input
	u_c	Type: RealOutput Description: Input after conversion
	y_c	Type: RealOutput Description: Output before conversion

Components (7)

	modelSettings	Type: ModelSettings Description: Setting important global variables within a model
	rateConversionIn	Type: RateConversion Description: Convert the input (rate) to another time base
	noConversionIn	Type: PassThrough Description: Use input as is
	timeConversionIn	Type: TimeConversion Description: Convert the input to another time base
	noConversionOut	Type: PassThrough Description: Use output as is
	rateConversionOut	Type: RateConversion Description: Convert the output (rate) to 1/s
	timeConversionOut	Type: TimeConversion Description: Convert the output to seconds