.Modelica_LinearSystems2.ZerosAndPoles.Internal

Information

Package of internal material of record ZerosAndPoles (for advanced users only)

Contents

Name	Description
ZerosAndPoles	Continuous zeros and poles description of a single input, single output system (data + operations)
bandPassAlpha	Return alpha for band pass
baseFilter	Generate a ZerosAndPoles transfer function from a base filter description (= low pass filter with w_cut = 1 rad/s)
BesselCoefficients	Return coefficients of normalized low pass Bessel filter (= gain at cut-off frequency 1 rad/s is decreased 3dB
checkRepresentation	Check whether the system on file is represented by zeros and poles (z, p) or first and second order polynomials (n1, n2, d1, d2)
filter	Generate the data record of a ZerosAndPoles transfer function from a filter description
filterToNormalized	Given [p^2,p] and [p] coefficients, transform to normalized form with highest power of p equal 1
findMatrixName	Find out whether matrix matName exists in file filename
firstOrderToString	Transform vector of coefficients of first order polynomials to a string representation
frequencyRange	Determine min. and max. resonance frequencies
frequencyRangeBode	Determine min. and max. frequencies for Bode plot
fromFile_pc	Generate a ZerosAndPoles data record by reading the polynomial coefficients from a file (default file name is pc.mat)
fromFile_zp	Generate a ZerosAndPoles data record by reading poles and zeros from a file (default file name is zp.mat)
fromRealAndImag	Generate a complex vector from a real part vector and imaginary part vector
isControllableAndObservableSISO	To check whether a SISO system is controllable and observable
isRoot	Check if frequency is an element of the complex vector zeros
normalizationFactor	Compute correction factor of low pass filter such that amplitude at cut-off frequency is -3db (=10^(-3/20) = 0.70794...)
numberOfRealPoles	Calculate number of real poles
numberOfRealZeros	Calculate number of real zeros
numberOfRealZeros2	Calculate number of real zeros
numberOfRealZerosAndPoles_pc	Generate a zeros and poles data record by reading the polynomial coefficients from a file (default file name is zp.mat)
numberOfRealZerosAndPoles_zp	Get the number of first order polynomials (n1, d1) and second order polynomials (n2, d2) of zeros and poles from zeros and poles written in a MAT-file
'p+a'	Addition of a complex number and a real value
'p^2+k[1]*p+k[2]'
roots	Determine zeros of factorized polynomial
sameMatrixRows	Determine identical rows of a [:,2] matrix
sameVectorElements	Determine identical elements of a vector
scaleFactor1	Return scale factor for first order block
scaleFactor2	Return scale factor for second order block
secondOrderToString	Transform vector of coefficients of second order polynomials to a string representation