The Derivative component computes an element-wise approximate derivative.

Each element has transfer function $\frac{y_j\left(s\right)}{u_j\left(s\right)}\=\frac{ks}{Ts\+1}$.

The Signal Size parameter assigns the dimension of the input and output connectors.

$\stackrel{\.}{x_j}\=\{\begin{array}{cc}0& \mathrm{zeroGain}\\ \frac{u_j-x_j}{T}& \mathrm{otherwise}\end{array}$

$y_j\=\{\begin{array}{cc}0& \mathrm{zeroGain}\\ \frac{k}{T}\left(u_j-x_j\right)& \mathrm{otherwise}\end{array}$

$\mathrm{zeroGain}\&equals;\left(\left|k\right|<\mathrm{\epsilon }\right)$

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.