WOLFRAM SYSTEM MODELER
TransferFunctionDiscrete-time Transfer Function block |
SystemModel["Modelica.Clocked.RealSignals.Periodic.TransferFunction"]
This information is part of the Modelica Standard Library maintained by the Modelica Association.
The discrete transfer function block defines the transfer function between the input signal u and the output signal y. The numerator has the order nb-1, the denominator has the order na-1.
b(1)*z^(nb-1) + b(2)*z^(nb-2) + … + b(nb) y(z) = -------------------------------------------- * u(z) a(1)*z^(na-1) + a(2)*z^(na-2) + … + a(na)
State variables x are defined according to controller canonical form. Initial values of the states can be set as start values of x.
Example:
TransferFunction g(b = {2,4}, a = {1,3});
results in the following transfer function:
2*z + 4 y = --------- * u z + 3
b |
Value: {1} Type: Real[:] Description: Numerator coefficients of transfer function. |
---|---|
a |
Value: Type: Real[:] Description: Denominator coefficients of transfer function. |
x |
Type: Real[size(a, 1) - 1] Description: State vector of controller canonical form |
---|
u |
Type: RealInput Description: Connector of clocked, Real input signal |
|
---|---|---|
y |
Type: RealOutput Description: Connector of clocked, Real output signal |
Release Notes: