PhaseMargins
PhaseMargins
PhaseMargins[lsys]
gives the phase margins of the linear time-invariant system lsys.
Details and Options
- The system lsys can be a TransferFunctionModel or a StateSpaceModel.
- 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.
- PhaseMargins returns {{ωg1,p1},{ωg2,p2},…}, where ωgi are the gain crossover frequencies, and pi are the phase margins in radians.
- PhaseMargins has the same options as GainPhaseMargins.
- PhaseMargins has the attribute Listable.
List of all options
Examples
open all close allBasic Examples (4)
The phase margins of a continuous-time system:
PhaseMargins[TransferFunctionModel[{{{0.5}}, 0.5 + s + 2*s^2 + s^3},
s]]Map[{#[[1]], (#[[2]]/Degree)}&, %]PhaseMargins[TransferFunctionModel[{{{0.375*(1/3 + z)*(1 + z)}},
(-1 + z)*z*(1/2 + z)}, z, SamplingPeriod -> 1]]A system specified as a transfer-function model:
PhaseMargins[TransferFunctionModel[{{{2}}, s*(2 + s)*
(25 + 5*s + s^2)}, s]]//NPhaseMargins[TransferFunctionModel[{{{-6/E^s}}, -1 + s^2}, s]]
Generalizations & Extensions (1)
PhaseMargins[TransferFunctionModel[g,var]] is equivalent to PhaseMargins[g]:
g = (20./10 s + 5 s^2);{PhaseMargins[g], PhaseMargins[TransferFunctionModel[g, s]]}Properties & Relations (1)
Wolfram Research (2010), PhaseMargins, Wolfram Language function, https://reference.wolfram.com/language/ref/PhaseMargins.html.
Text
Wolfram Research (2010), PhaseMargins, Wolfram Language function, https://reference.wolfram.com/language/ref/PhaseMargins.html.
CMS
Wolfram Language. 2010. "PhaseMargins." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PhaseMargins.html.
APA
Wolfram Language. (2010). PhaseMargins. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PhaseMargins.html