ConvexLookupPositive

Convex Lookup with positive slope; usually with fixpoint (0,y0) and fixpoint (1,1)

Diagram

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The output y is derived using the formula:

y=y0 + (1-y0)*u^s

The function will go through the point (1,1) and the output will be y0 for u ≤ 0.

Graph of the Lookup-Function for Different Slopes (y0 = 0)

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
s	Value: 1 Type: Real Description: Slope parameter (s>1)
y0	Value: 0 Type: Real Description: Value of y when input is zero or less

	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

	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