functioncontrollabilityMatrix
Calculate the controllability matrix [B, A*B, ..., A^(n-1)*B] of a zp-transfer-function
Information
Syntax
Q = ZerosAndPoles.Analysis.controllabilityMatrix(zp, method)
Description
This function calculates the controllability matrix
Q = [B, A*B, ..., A^(n-1)*B]
of the system corresponding to state space system
der(x) = A*x + B*u;
y = C*x + D*u;
of a zeros and poles transfer function.
Example
ZerosAndPoles p = Modelica_LinearSystems2.ZerosAndPoles.p(); Modelica_LinearSystems2.ZerosAndPoles zp=(p+1)/(p^2+p+1); Real Q[2,2]; algorithm Q := Modelica_LinearSystems2.ZerosAndPoles.Analysis.controllabilityMatrix(zp); // Q = [0, 1, 1, -1]
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| ZerosAndPoles | zp | ZerosAndPoles transfer function of a system |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real[:,:] | om |