# Gain margin definition

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*2019-12-16 12:23*

Phase margin and its important companion concept, gain margin, are measures of stability in closedloop, dynamiccontrol systems. Phase margin indicates relative stability, the tendency to oscillate during its damped response to an input change such as a step function.Search marginal gain and thousands of other words in English definition and synonym dictionary from Reverso. You can complete the definition of marginal gain given by the English Definition dictionary with other English dictionaries: Wikipedia, Lexilogos, Oxford, Cambridge, Chambers Harrap, Wordreference, Collins Lexibase dictionaries, Merriam gain margin definition

gain margin Find the frequency where the PHASE becomes 180 degrees. On our picture, this is at 100 (radsec) (marked with a green 'o' on the lower plot).

## Gain margin definition free

[Gm, Pm, Wcg, Wcp margin(sys) returns the gain margin Gm in absolute units, the phase margin Pm, and the corresponding frequencies Wcg and Wcp, of sys. Wcg is the frequency where the gain margin is measured, which is a 180 phase crossing frequency.

The gain margin Gm is defined as 1G where G is the gain at the 180 phase crossing. The gain margin in dB is derived by GmdB 20log10(Gm) The phase margin Pm is in degrees. The loop gain at Wcg can increase or decrease by this many dBs before losing stability.

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For Stable System: Both the margins should be positive or phase margin should be greater than the gain margin. For Marginal Stable System: Both the margins should be zero or phase margin should be equal to the gain margin.

Gain margin, the amount the gain has fallen below unity when the total phase lag is 360[degrees, is expressed in decibels. Measuring closedloop feedback response: Verify that your power supply's specified transient response is real.

Gain Margin and Phase Margin are the relative stability measures. Think of both of these as safety margins for an openloop system which you would like to make closedloop. That is, if you are walking next to a cliff, you want a positive space or margin of safety between you and a big disaster.

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