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PID Controller

Step response tuner

PIDFeedback Control
u(t) = Kₚe + Kᵢ∫e dt + Kd·ė

PID Step Response Simulator

-0.100.140.390.630.881.120.03.36.710.013.316.720.0Time (s)OutputOutput y(t)Setpoint
Rise time
1.16 s
Overshoot
2.2 %
Settling time
15.24 s
SS error
0.0086

PID Gains

Kp2.0
Ki0.50
Kd0.30
Plant parameters

Plant: G(s) = K / (τ²s² + 2ζτs + 1)

K1.0
τ1.0
ζ0.50
r1.0
T20.0

RK4 integration · dt = 0.02 s · anti-windup saturation ±10