Discrete Transfer Function
Purpose
Model discrete system as transfer function
Library
Control / Discrete
Description
The Discrete Transfer Function models a discrete time-invariant system that is
expressed in the
-domain:

Parameters
-
Numerator coefficients
- A vector of the
term coefficients
for
the numerator, written in descending order of powers of z. For example, the
numerator
would be entered as [1,0,2,0].
The output of the Transfer Function is vectorizable by entering a matrix for the
numerator.
-
Denominator coefficients
- A vector of the
term coefficients
for the
denominator, written in descending order of powers of
.
Note The order of the
denominator (highest power of
) must be greater than or equal to the order of the
numerator.
-
Initial condition
- The initial condition vector of the internal states of the Transfer
Function in the form
. The initial conditions must be specified for
the controller normal form, depicted below for the the transfer function:

where

For the normalized transfer function (with
and
) this simplifies to
and
.
Probe Signals
-
Input
- The input signal.
-
Output
- The output signal.