// multi-utility computation suite · offline · instant · precise
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│ computation suite │
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eng.root-locus-gain-margin Calculator
Calculates gain margin and phase margin from the root locus and determines whether the closed-loop system is stable. Gain margin is how much gain can increase before instability — root locus shows how closed-loop poles move as gain increases toward instability.
Inputs
K Gain
Reference formula or conversion factor shown for context.
Wn Rad S
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Zeta
Reference formula or conversion factor shown for context.
Tau Delay S
Reference formula or conversion factor shown for context.
Results
phase margin estimate (deg)
The current phase of the cycle or process.
settling time ts (s) — 2% criterion
The computed duration or time value.
peak time tp (s)
The computed duration or time value.
peak overshoot Mp (%)
Reference formula or conversion factor shown for context.
damped frequency ωd (rad/s)
Sample size or count used in the calculation.
PM guide
Reference formula or conversion factor shown for context.