What is the full form of PID?

Question

Question

This question was previously asked in

MP Vyapam Sub-Engineer Electrical & Electronics Engineering Official Paper (Held on 1 Sept. 2018: Shift 1)

Answer 1

Proportion + Integral + Derivative (PID):

The PID controller produces on output, which is the combination of outputs of proportional, integral, and derivative controllers.

This is defined in terms of differential equations as:

Applying Laplace transform, we get:

Transfer function will be:

Integral control:

It is the control mode where the controller Output is proportional to the integral of the error with respect to time.

Integral controller output = k × integral of error with time, i.e.

Proportional + Derivate:

The additive combination of proportional & Derivative control is known as P-D control.

Overall transfer function for a PD controller is given by:

It is equivalent to a High-pass filter.