WOLFRAM SYSTEM MODELER
limitBySformReturns a S-shaped transition |
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Wolfram Language
In[1]:=
SystemModel["PlanarMechanics.Utilities.Functions.limitBySform"]
Out[1]:=
Information
Syntax
y = Functions.limitBySform(x_min, x_max, y_min, y_max, x);
Description
A smooth transition between points (x_min, y_min) and (x_max, y_max). The transition is done in such a way that the 1st function's derivative is continuous for all x. The higher derivatives are, in contrast, discontinuous at input points.
The figure below shows the function y and its 1st derivative dy/dx for the following input: x_max = -0.4, x_min = 0.6, y_max = 1.4, y_min = 1.2.
Syntax
y = limitBySform(x_min, x_max, y_min, y_max, x)
Inputs (5)
| x_min |
Type: Real Description: Abscissa for y_min |
|---|---|
| x_max |
Type: Real Description: Abscissa for y_max |
| y_min |
Type: Real Description: First value of y |
| y_max |
Type: Real Description: Second value of y |
| x |
Type: Real Description: Current abscissa value |
Outputs (1)
| y |
Type: Real Description: Current ordinate |
|---|
Revisions
Developed 2010 at the DLR Institute of System Dynamics and Control