Lag Compensator Attenuation⚠ unverified
Physics / Controls · Compute the attenuation provided by a lag compensator
Parameters
| Input | Symbol | Unit | Default | Description |
|---|---|---|---|---|
| beta | β | — | 1.0 | Lag compensator ratio (dimensionless) |
| Output | Symbol | Unit | Description |
|---|---|---|---|
| result | attenuation | dB | Attenuation, in decibels (dB) |
The science & history
Understanding the Parameters
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$\beta$ — larger $\beta$ → more high-frequency attenuation (and more lag phase lag in the mid band). Typical design $\beta$ of a few to ten.
-
attenuation — positive dB number meaning how much the high-frequency gain is reduced relative to low frequency for this pure lag ratio.
Derivation (Approaching a Proof)
Asymptotic Bode magnitude of a lag: low-frequency gain 0 dB (normalized), high-frequency gain $-20\log_{10}\beta$ relative to that, i.e. attenuation $20\log_{10}\beta$.
History
Lag compensators improve steady-state error (raise low-frequency gain) while the $\beta$ attenuation limits high-frequency noise — standard cascade compensation.
Related Concepts: Lead Compensator Phase, Phase Margin, Pid Output
Notes: Registry calculator lag-compensator-attenuation (unverified). Pure $\beta$ shelf only.