blockRegStep
Approximation of a general step, such that the approximation is continuous and differentiable
Information
This model is used to approximate the equation
y = if x > 0 then y1 else y2;
by a smooth characteristic, so that the expression is continuous and differentiable:
y = smooth(1, if x > x_small then y1 else
if x < -x_small then y2 else f(y1, y2));
In the region -x_small < x < x_small a 2nd order polynomial is used for a smooth transition from y1 to y2.
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Real | x_small | 1e-5 | Approximation of step for -x_small <= x <= x_small; x_small >= 0 required |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| Modelica.Blocks.Interfaces.RealInput | y1 | Ordinate value for x > 0 | |
| Modelica.Blocks.Interfaces.RealInput | y2 | Ordinate value for x < 0 | |
| Modelica.Blocks.Interfaces.RealInput | x | Abscissa value | |
| Modelica.Blocks.Interfaces.RealOutput | y | Connector of Real output signal |
Revisions
- Feburary 27, 2019, by Benedikt Leitner:
Implementation and added User's guide.