WOLFRAM SYSTEM MODELER
limitByStripleReturns a point-symmetric Triple S-Function |
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Wolfram Language
In[1]:=
SystemModel["PlanarMechanics.Utilities.Functions.limitByStriple"]
Out[1]:=
Information
Syntax
y = Functions.limitByStriple(x_max, x_sat, y_max, y_sat, x);
Description
A point symmetric interpolation between points (0, 0), (x_max, y_max) and (x_sat, y_sat), provided x_max < x_sat. The approximation is done in such a way that the 1st function's derivative is zero at points (x_max, y_max) and (x_sat, y_sat). Thus, the 1st function's derivative is continuous for all x. The higher derivatives are, in contrast, discontinuous at these points.
The figure below shows the function y and its 1st derivative dy/dx for the following input: x_max = 0.2, x_sat = 0.5, y_max = 1.4, y_sat = 1.2.
Syntax
y = limitByStriple(x_max, x_sat, y_max, y_sat, x)
Inputs (5)
| x_max |
Type: Real Description: Abscissa for y_max |
|---|---|
| x_sat |
Type: Real Description: Abscissa for y_sat |
| y_max |
Type: Real Description: Peak ordinate |
| y_sat |
Type: Real Description: Saturated ordinate |
| 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