BodePlot
BodePlot[lsys]
generates a Bode plot of a linear time-invariant system lsys.
BodePlot[lsys,{ωmin,ωmax}]
plots for the frequency range ωmin to ωmax.
BodePlot[expr,{ω,ωmin,ωmax}]
plots expr using the variable ω.
Details and Options



- BodePlot plots the magnitude and phase of the transfer function of lsys.
- 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 - BodePlot treats the variable ω as local, effectively using Block.
- BodePlot has the same options as Plot, with the following changes and additions:
-
Exclusions None frequencies to exclude FeedbackType "Negative" the feedback type Frame True whether to draw a frame around each plot MeshFunctions {{#1&},{#1&}} how to determine the placement of mesh divisions PhaseRange Automatic range of phase values to use PlotLayout "VerticalGrid" the layout to be used PlotRange {{Full,Automatic},{Full,Automatic}} range of values to include SamplingPeriod None the sampling period ScalingFunctions {{"Log10","dB"},{"Log10","Degree"}} the scaling functions StabilityMargins False whether to show the stability margins StabilityMarginsStyle Automatic graphics directives to specify the style of the stability margins - Possible explicit settings for the option PlotLayout are "VerticalGrid" and "List".
- The option PlotLayout accepts the following values:
-
"VerticalGrid" magnitude and phase plot in a vertical grid "List" magnitude and phase plot in a list "Magnitude" magnitude plot only "Phase" phase plot only - The other options of BodePlot can be specified as a list of two elements, with the first element corresponding to the magnitude plot and the second to the phase plot.
- Option specifications include:
-
opt->val use val for both the magnitude and the phase plot opt->{val} use val for the magnitude plot and the default for the phase plot opt->{val1,val2} use val1 for the magnitude plot and val2 for the phase plot opt->{Automatic,val} use the default for the magnitude plot and val for the phase plot - With the PlotLayout settings "Magnitude" or "Phase", a single setting refers to the plot requested.
- The scaling functions can be specified as ScalingFunctions->{{magfreqscale,magscale},{phasefreqscale,phasescale}}.
- The frequency scales magfreqscale and phasefreqscale 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.
- The phase scale phasescale can be "Degree" or "Radian".
Examples
open all close allIntroduced in 2010
Updated in 2014
(8.0)
|
(10.0)