functionsmoothLimit

Once continuously differentiable approximation to the limit function

Extends from Modelica.Icons.Function (Icon for functions).

Information

Once continuously differentiable approximation to the limit(.,.) function. The output is bounded to be in [l, u].

Note that the limit need not be respected, such as illustrated in IDEAS.Utilities.Math.Examples.SmoothMin.

Inputs

TypeNameDefaultDescription
RealxVariable
ReallLow limit
RealuUpper limit
RealdeltaXWidth of transition interval

Outputs

TypeNameDefaultDescription
RealyResult

Revisions

  • March 12, 2015, by Filip Jorissen:
    Added documentation reference demonstrating overshoot.
  • February 5, 2015, by Filip Jorissen:
    Added smoothOrder = 1.
  • Sept 1, 2010, by Michael Wetter:
    Changed scaling to make sure that bounds are never violated.
  • July 14, 2010, by Wangda Zuo, Michael Wetter:
    First implementation.