The Pade Delay component delays the input signal by duration Delay Time.

The delay is approximated by a Pade approximation, that is, by a transfer function

$y\left(s\right)\=\frac{b_1{s}^m\+b_2{s}^{m-1}\+\cdots \+b_{m\+1}}{a_1{s}^n\+a_2{s}^{n-1}\+\cdots \+a_{n\+1}}u\left(s\right)$

where the coefficients $b_k$ and $a_k$ are calculated such that the coefficients of the Taylor expansion of the delay ${\ⅇ}^{-Ts}$ around $s=0$ are identical up to order n + m. The main advantage of this approach is that the delay is approximated by a linear differential equation system, which is continuous and continuously differentiable.

The Signal Size parameter allows the block to operate on a vector of signals rather than a single signal.

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.