The On Off Controller component sets the output signal $y$ to $\mathrm{true}$ when the input signal $u$ falls below the $\mathrm{reference}$ signal minus half of the hysteresis and sets the output signal $y$ to $\mathrm{false}$ when the input signal $u$ exceeds the $\mathrm{reference}$ signal plus half of the hysteresis.

$y=\left(\mathrm{pre}\left(y\right)\mathbf{and}u<\mathrm{reference}+\frac{\mathrm{hysteresis}}{2}\mathbf{or}u<\mathrm{reference}-\frac{\mathrm{hysteresis}}{2}\right)$

The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.