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SingularValuePlot

SingularValuePlot[m]
gives the singular value plot of a matrix m of rational functions in one complex variable.
SingularValuePlot[sys]
gives the singular value plot of a TransferFunctionModel or StateSpaceModel object sys.
SingularValuePlot
gives the plot for frequencies from to .
  • SingularValuePlot is the plot of the singular values of the sinusoidal transfer-function matrix as a function of frequency.
  • The unit of frequency is radians per time unit.
  • If the frequency range is not specified, an appropriate range is computed automatically.
SamplingPeriodNonethe sampling period
ScalingFunctions{"Log10","dB"}the scaling functions
Tolerance0the tolerance in computing the singular values
  • The frequency scale freqscale can be or , which correspond to the base-10 logarithmic scale and linear scale, respectively.
  • The magnitude scale magscale can be or , which correspond to the decibel and absolute values of the magnitude, respectively.
The singular value plot of a transfer-function model:
The transfer function can be specified as a matrix:
The singular value plot of a state-space model:
The singular value plot of a transfer-function model:
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Click for copyable input
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The transfer function can be specified as a matrix:
In[1]:=
Click for copyable input
Out[1]=
 
The singular value plot of a state-space model:
In[1]:=
Click for copyable input
Out[1]=
SingularValuePlot shows all the singular values:
A one-input, two-output system:
A two-input, three-output system:
Singular value plot of a transfer-function object:
A discrete-time system:
A discrete-time system specified as an expression:
Explicit frequency range:
Display coordinates by selecting the graphic and typing . (period):
If the frequency is in radians/second, the corresponding values in hertz can be displayed as follows:
Display coordinates of frequency and the singular values in hertz and absolute values, respectively:
Show grid lines:
Show only the frequency grid lines:
Show specific grid lines:
Specify the grid line style:
Systems specified as an expression are assumed to be in the continuous-time domain:
A discrete-time system:
A discrete-time system specified as a transfer-function object:
Show frequency in the linear scale:
Show the absolute values of the singular values:
The singular value plot and the Bode magnitude plot are the same for SISO systems:
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