In a closed-loop process control system with a PID controller, __

In a closed-loop process control system with a PID controller, __
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In a closed-loop process control system with a PID controller, _________ response depends only on the difference between set point and the process variable.

A. proportional

B. integral

C. differential

D. All of these

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

Explanation:

\(\frac{{C\left( s \right)}}{{R\left( s \right)}} = \frac{{\left( {s{T_d} + K + \frac{{{K_I}}}{s}} \right)G\left( s \right)}}{{1 + \left( {s{T_d} + K + \frac{{{K_I}}}{s}} \right)G\left( s \right)}}\)

It represents the PID controller.

Close loop transfer function depends on all type of controller.

e(s) ∝ sTd (Derivative controller)

e(s) ∝ K (Proportional controller)

e(s) ∝ KI/s (Integral controller)

Condition for PID controller:

|K(s) × G(s)| = 1 and

∠K(s) × G(s) = 180°

where K(s) = sTd + K + KI/s

PID controller is an instrument used in control applications to regulate flow, speed, pressure, temperature and other variable process.