functionfromZerosAndPoles

Generate a ZerosAndPoles transfer function from a set of zeros and poles

Information

This function constructs a transfer function from denominator and numerator zeros, as well as a gain. Example:

                          (s+1)
  zp = 4* -------------------------------------
           (s - 1)*(s - (2+j*3))*(s - (2-j*3))

with j=sqrt(-1), is defined as

   import Complex;
   import Modelica_LinearSystems2.ZerosAndPoles;

   zp = ZerosAndPoles(z = {Complex(-1,0)},
                      p = {Complex(1,0),
                           Complex(2,3),
                           Complex(2,-3)},
                           k=4);

Since only transfer functions with real coefficients are supported, complex roots must be defined as conjugate complex pairs. It is required that complex conjugate pairs must directly follow each other as above. An error occurs if this is not the case.

Inputs

Type	Name	Default	Description
Complex[:]	z	fill(Complex(0), 0)	Zeros (Complex vector of numerator zeros)
Complex[:]	p	fill(Complex(0), 0)	Poles (Complex vector of denominator zeros)
Real	k	1.0	Constant multiplied with transfer function
Modelica.Units.SI.Time	Ts	1	Sample time
Modelica_LinearSystems2.Utilities.Types.Method	method	Modelica_LinearSystems2.Utilities.Types.Method.Trapezoidal	Discretization method
String	uName	""	input name
String	yName	""	output name

Outputs

Type	Name	Default	Description
DiscreteZerosAndPoles	dzp		ZerosAndPoles transfer functions of the zeros, poles and k