Analog Intuition

PID Compensator Visualizer

PID Compensator

Zeros: Calculated

Poles: Origin

Equations

Transfer Function: \( C(s) = \frac{K_d s^2 + K_p s + K_i}{s} \)

Zeros: \( s = \frac{-K_p \pm \sqrt{K_p^2 - 4 K_d K_i}}{2 K_d} \)

Complex Zeros (if \( K_p^2 - 4 K_d K_i < 0 \)): \( \omega_n = \sqrt{\frac{K_i}{K_d}}, \zeta = \frac{K_p}{2 \sqrt{K_i K_d}} \)

Transfer Function:

Phase Lead:

0°