GATE BT 2026 | Question: 5

Question

The transfer function of a Proportional-Integral $\text{(PI)}$ controller $G_{C}(s)$ is given by

\[
G_{C}(s)=K_{C}\left(1+\frac{1}{\tau_{I} s}\right)
\]
where $K_{C}$ is the controller gain, $\tau_{I}$ is the controller integral time constant and $s$ is the Laplace variable. The role of the integral component of the controller is to $\_\_\_\_$.

• A. integrate the difference between the process and manipulated variable
• B. integrate the difference between the set point and disturbance variable
• C. integrate the difference between the set point and the measured variable
• D. integrate the difference between the input and output variable