PID Controller — Manual Tuning Laboratory | Pure Mathematical Response Simulator

PID CONTROLLER PARAMETERS

MANUAL TUNING

P Proportional Gain (Kp)

1.00

Min: 0.0 Step: 0.05 Max: 10.0

I Integral Gain (Ki)

0.00

Min: 0.0 Step: 0.02 Max: 5.0

D Derivative Gain (Kd)

0.00

Min: 0.0 Step: 0.02 Max: 5.0

PID CONTROL LAW

u(t) = Kp·e(t) + Ki∫e(t)dt + Kd·de(t)/dt

Calculated against a standard unit-step reference r(t) = 1.0. Adjust sliders to observe immediate analytical response.

REFERENCE (1.0) PID RESPONSE

INSTANTANEOUS MATHEMATICAL RESPONSE