WOLFRAM SYSTEM MODELER

limitByStriple

Returns a point-symmetric Triple S-Function

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

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