SingularValuePlot
SingularValuePlot[lsys]
generates a plot of the singular values of the transfer function for the system lsys.
SingularValuePlot[lsys,{ωmin,ωmax}]
plots for the frequency range ωmin to ωmax.
SingularValuePlot[expr,{ω,ωmin,ωmax}]
plots expr using the variable ω.
Details and Options

- The system lsys can be TransferFunctionModel or StateSpaceModel, including descriptor and delay systems.
- For a system lsys with the corresponding transfer function
, the following expressions are plotted:
-
continuous-time system discrete-time system with sample time - SingularValuePlot treats the variable ω as local, effectively using Block.
- SingularValuePlot has the same options as Plot, with the following additions and changes:
-
SamplingPeriod None the sampling period ScalingFunctions {"Log10","dB"} the scaling functions Tolerance 0 the tolerance in computing the singular values - The scaling functions can be specified as ScalingFunctions->{freqscale,magscale}.
- The frequency scale freqscale can be "Log10" or "Linear", which correspond to the base-10 logarithmic scale and linear scale, respectively.
- The magnitude scale magscale can be "dB" or "Absolute", which correspond to the decibel and absolute values of the magnitude, respectively.
Examples
open allclose allBasic Examples (3)
Scope (7)
SingularValuePlot shows all the singular values:
A one-input, two-output system:
A two-input, three-output system:
Generalizations & Extensions (1)
SingularValuePlot[TransferFunctionModel[g,var]] equals SingularValuePlot[g]:
Options (16)
CoordinatesToolOptions (3)
PlotLegends (4)
Use automatic legends for multiple singular values:
Use a list of text for legends:
Use LineLegend to add a overall legend label:
PlotTheme (1)
SamplingPeriod (2)
Applications (1)
Text
Wolfram Research (2010), SingularValuePlot, Wolfram Language function, https://reference.wolfram.com/language/ref/SingularValuePlot.html (updated 2014).
CMS
Wolfram Language. 2010. "SingularValuePlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2014. https://reference.wolfram.com/language/ref/SingularValuePlot.html.
APA
Wolfram Language. (2010). SingularValuePlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SingularValuePlot.html