Sometimes a controller needs a nudge of phase in just the right place. Place a zero and a pole and watch a lead or lag compensator do the shaping.
Lead–Lag CompensatorLive
shaping phase for stability
Controls
Presets
A lead compensator (pole above zero) adds phase near the crossover to boost stability margins and speed; a lag compensator (pole below zero) trades phase to raise low-frequency gain and kill steady-state error. Educational tool.
Reading this result: Pole above zero makes this a lead network: it injects up to 55° of phase near 3.2 rad/s, widening the stability margin and speeding the response right where the loop crosses over.
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How it works
A lead compensator (pole above zero) injects phase near the crossover to improve stability margins and transient speed; a lag compensator (pole below zero) boosts low-frequency gain to cut steady-state error. Both are staples of classical control design. Educational tool.
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