PID Temperature Tuning Calculator
Calculate PID controller gains from the ultimate gain and oscillation period using Ziegler-Nichols closed loop rules.
Compare Your Options And Get Clear Answers
Calculate PID controller gains from the ultimate gain and oscillation period using Ziegler-Nichols closed loop rules.
PID Temperature Tuning Estimator
Enter your numbers below for an instant estimate.
How It Works
Key concepts behind this calculator
Find Ku
Raise gain until output oscillates steadily.
Measure Pu
Time one full oscillation in seconds.
Apply Rules
Kp 0.6 Ku, Ti Pu/2, Td Pu/8.
Fine Tune
Adjust to remove overshoot.
PID Rules
Ziegler-Nichols closed loop rules.
| Type | Kp | Ti | Td |
|---|---|---|---|
| P only | 0.5 Ku | none | none |
| PI | 0.45 Ku | Pu/1.2 | none |
| PID | 0.6 Ku | Pu/2 | Pu/8 |
| No overshoot | 0.2 Ku | Pu/2 | Pu/3 |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
PID Temperature Tuning Calculator FAQ
Answers to common questions about this calculator.
Choosing proportional, integral and derivative gains so a controller holds a set point.
The gain and period at which the loop oscillates steadily.
No. Ziegler-Nichols often overshoots and needs trimming.
Yes. Many controllers have an autotune that finds similar values.