functiontoDiscreteTransferFunction
Generate a TransferFunction data record from a SISO DiscreteStateSpace data record
Information
Syntax
| dtf | = | DiscreteStateSpace.Conversion.toDiscreteTransferFunction(dss) |
Description
Computes a DiscreteTransferFunction record
n(z) b0 + b1*z + ... + bn*z^n
dtf = -------- = --------------------------
d(z) a0 + a1*z + ... + an*z^n
The algorithm uses toDiscreteZerosAndPoles to convert the
discrete state space system into a discrete zeros and poles representation first and after that DiscreteZerosAndPoles.Conversion.toDiscreteTransferFunction to generate the transfer function.
Example
Modelica_LinearSystems2.DiscreteStateSpace dss=Modelica_LinearSystems2.DiscreteStateSpace(
A = [0.9048, 0.0, 0.0;
0.0, 0.8187, 0.0;
0.0, 0.0, 0.7408],
B = [0.09516;
0.09063;
0.0],
C = [1.0,1.0,1.0],
D = [0.0],
B2 = [0, 0;
0, 0;
0, 0],
Ts = 0.1);
algorithm
dtf:=Modelica_LinearSystems2.DiscreteStateSpace.Conversion.toDiscreteTransferFunction(dss);
// 0.185797*z - 0.159922
// dtf = -------------------------------
// z^2 - 1.72357*z + 0.740818
Revisions
| Date |
Author |
Comment |
| 2010-05-31 |
Marcus Baur, DLR-RM |
Realization |