Interactive Tool

PID Controller Tuner

Tune a PID controller on a second-order plant. Adjust gains manually or auto-tune with Ziegler-Nichols and Lambda methods.

Mode

r(t) =

Duration seconds

Available: t, sin, cos, exp, abs, sqrt, pow(x,n), step, pi, + - * / ^

K_p

K_i

K_d

Finds the ultimate gain K_u and period T_u at the stability boundary, then applies classical Z-N PID formulas.

Advanced Settings

ω_n

G(s) = ω_n² / (s² + 2ζω_ns + ω_n²)

Measurement 0.5

Process 0.5

Response

Control Effort

P / I / D Components

0.00 / 10.00 s

Overshoot —

Rise Time —

Settling Time —

SS Error —

Cost (ITAE) —