BUILT-IN WOLFRAM LANGUAGE SYMBOL
GainPhaseMargins
GainPhaseMargins[lsys]
gives the gain and phase margins of the linear time-invariant system lsys.
Details and Options
- The system lsys can be a TransferFunctionModel or a StateSpaceModel.
- GainPhaseMargins returns
, where the 
are the phase crossover frequencies, the 
are the gain margins, the 
are the gain crossover frequencies, and the 
are the phase margins. - The gain margins
are absolute values and the phase margins 
are in radians. - The gain margins are the reciprocals of the magnitude of lsys at the phase crossover frequencies.
- At the phase crossover frequencies, lsys has phase
. - The phase margins are phase lags needed to make the phase
at the gain crossover frequencies. - At the gain crossover frequencies, the gain of lsys is unity.
- The following options can be given:
-
FeedbackType "Negative" the feedback type Method Automatic method to use SamplingPeriod None the sampling period - Explicit settings for the Method option include
and 
. In each case the methods of Solve or NSolve can be specified as suboptions. The default setting of Automatic switches between these methods, depending on whether lsys is exact or inexact. - GainPhaseMargins has the attribute Listable.
Examplesopen all
Basic Examples (1)
The gain and phase margins of a system:
| In[1]:= |
| Out[1]= |  |
Introduced in 2010
(8.0)