BodePlot

generates a Bode plot of a linear time-invariant system lsys.

BodePlot[lsys,{ω_min,ω_max}]

plots for the frequency range ω_min to ω_max.

BodePlot[expr,{ω,ω_min,ω_max}]

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".