PID Tuning Calculator


Input Parameters

Unit System

Results

PID Tuning Parameters

1
Proportional Gain (Kp)
0
Integral Gain (Ki)
3
Derivative Gain (Kd)
20
Integral Time (Ti) s
5
Derivative Time (Td) s

Calculation Steps

1

Calculate Ultimate Period

Formula:
Pu=4×τdP_u = 4 \times \tau_d
Calculation:
Pu=4×10P_u = 4 \times 10
Result:
40.0 s40.0 \text{ s}
2

Calculate Proportional Gain

Formula:
Kp=0.6×KuK_p = 0.6 \times K_u
Calculation:
Kp=0.6×1.0K_p = 0.6 \times 1.0
Result:
0.600 0.600 \text{ }
3

Calculate Integral Time

Formula:
Ti=Pu2T_i = \frac{P_u}{2}
Calculation:
Ti=40.02T_i = \frac{40.0}{2}
Result:
20.0 s20.0 \text{ s}
4

Calculate Derivative Time

Formula:
Td=Pu8T_d = \frac{P_u}{8}
Calculation:
Td=40.08T_d = \frac{40.0}{8}
Result:
5.0 s5.0 \text{ s}