Modelica_LinearSystems2.Examples.ZerosAndPoles

Package Content

Name Description

analysisZerosAndPoles Compute zeros and poles of a ZerosAndPoles transfer function

conversionToStateSpace Transform a transfer function from zeros and poles representation into a StateSpace description

plotPolesAndZeros Example for plotting poles and zeros of a ZerosAndPoles transfer function

plotBode1 Construct a ZerosAndPoles system and plot the Bode diagram with automatic determination of the frequency range to plot

plotBode2 Bode plot of PT2 transfer function with zero damping

plotBode3 Construct a ZerosAndPoles system and plot the Bode diagram with automatic determination of the frequency range to plot

plotBodeFilter1 Compute filter and plot frequency response of filter

plotBodeFilter2 Show low pass filters of all filter types

plotBodeFilter3 Show high pass filters of all filter types

plotStep Step plot example

Name	Description
analysisZerosAndPoles	Compute zeros and poles of a ZerosAndPoles transfer function
conversionToStateSpace	Transform a transfer function from zeros and poles representation into a StateSpace description
plotPolesAndZeros	Example for plotting poles and zeros of a ZerosAndPoles transfer function
plotBode1	Construct a ZerosAndPoles system and plot the Bode diagram with automatic determination of the frequency range to plot
plotBode2	Bode plot of PT2 transfer function with zero damping
plotBode3	Construct a ZerosAndPoles system and plot the Bode diagram with automatic determination of the frequency range to plot
plotBodeFilter1	Compute filter and plot frequency response of filter
plotBodeFilter2	Show low pass filters of all filter types
plotBodeFilter3	Show high pass filters of all filter types
plotStep	Step plot example

Modelica_LinearSystems2.Examples.ZerosAndPoles.analysisZerosAndPoles

Compute zeros and poles of a ZerosAndPoles transfer function

Outputs

Name Description

ok

Name	Description
ok

Modelica_LinearSystems2.Examples.ZerosAndPoles.conversionToStateSpace

Transform a transfer function from zeros and poles representation into a StateSpace description

Inputs

Name Description

zpi

Name	Description
zpi

Outputs

Name Description

ok

Name	Description
ok

Modelica_LinearSystems2.Examples.ZerosAndPoles.plotPolesAndZeros

Example for plotting poles and zeros of a ZerosAndPoles transfer function

Modelica_LinearSystems2.Examples.ZerosAndPoles.plotBode1

Construct a ZerosAndPoles system and plot the Bode diagram with automatic determination of the frequency range to plot

Inputs

Name Description

f_cut PT1 with cut-off frequency f_cut [Hz]

Name	Description
f_cut	PT1 with cut-off frequency f_cut [Hz]

Outputs

Name Description

ok

Name	Description
ok

Modelica_LinearSystems2.Examples.ZerosAndPoles.plotBode2

Bode plot of PT2 transfer function with zero damping

Inputs

Name Description

f_cut Cut-off frequency of denominator PT2 [Hz]

D Damping of denominator PT2

k Gain

nPoints

Name	Description
f_cut	Cut-off frequency of denominator PT2 [Hz]
D	Damping of denominator PT2
k	Gain
nPoints

Outputs

Name Description

ok

Name	Description
ok

Modelica_LinearSystems2.Examples.ZerosAndPoles.plotBode3

Construct a ZerosAndPoles system and plot the Bode diagram with automatic determination of the frequency range to plot

Inputs

Name Description

f_cut_num Cut-off frequency of numerator PT2 and PT1 [Hz]

D_num Damping of numerator PT2

f_cut_den Cut-off frequency of denominator PT2 and PT1 [Hz]

D_den Damping of denominator PT2

k Gain

Name	Description
f_cut_num	Cut-off frequency of numerator PT2 and PT1 [Hz]
D_num	Damping of numerator PT2
f_cut_den	Cut-off frequency of denominator PT2 and PT1 [Hz]
D_den	Damping of denominator PT2
k	Gain

Outputs

Name Description

ok

Name	Description
ok

Modelica_LinearSystems2.Examples.ZerosAndPoles.plotBodeFilter1

Compute filter and plot frequency response of filter

Inputs

Name Description

analogFilter Analog filter characteristics (CriticalDamping/Bessel/Butterworth/Chebyshev)

order

f_cut [Hz]

Name	Description
analogFilter	Analog filter characteristics (CriticalDamping/Bessel/Butterworth/Chebyshev)
order
f_cut	[Hz]

Outputs

Name Description

ok

Name	Description
ok

Modelica_LinearSystems2.Examples.ZerosAndPoles.plotBodeFilter2

Show low pass filters of all filter types

Inputs

Name Description

order Order of filter

f_cut Cut-off frequency [Hz]

A_ripple Pass band ripple for Chebyshev filter (otherwise not used) [dB]

f_min Minimum frequency value [Hz]

f_max Maximum frequency value [Hz]

Name	Description
order	Order of filter
f_cut	Cut-off frequency [Hz]
A_ripple	Pass band ripple for Chebyshev filter (otherwise not used) [dB]
f_min	Minimum frequency value [Hz]
f_max	Maximum frequency value [Hz]

Outputs

Name Description

ok

Name	Description
ok

Modelica_LinearSystems2.Examples.ZerosAndPoles.plotBodeFilter3

Show high pass filters of all filter types

Inputs

Name	Description
order	Order of filter
f_cut	Cut-off frequency [Hz]
A_ripple	Pass band ripple for Chebyshev filter (otherwise not used) [dB]
f_min	Minimum frequency value [Hz]
f_max	Maximum frequency value [Hz]

Outputs

Name Description

ok

Name	Description
ok

Modelica_LinearSystems2.Examples.ZerosAndPoles.plotStep

Step plot example

Information

Computes the impulse response of the system tf =1/s^2 + s + 1.

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