Transfer function of PID controller

The transfer function of PID controller is:

1. K_P + K_I/s + K_Ds
2. s.K_P + K_I/s + K_Ds
3. K_P + s.K_I + K_D/s
4. s.K_P + K_I/s + K_D/s

Correct answer: 1. K_P + K_I/s + K_Ds

Explanation:

• The transfer function of a proportional controller is KP
• While transfer function of the integral controller is KI/s
• While transfer function of derivative controller is K_Ds

Since a PID controller (Proportional, Integral, Derivative controller) is a combination of all the three, the transfer function of PID controller is K_P + K_I/s + K_Ds

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