Question

For open loop system, the sensitivity of overall transfer function for a small change in forward path transfer function \( G(s) \) is

• A. 1
• B. 0
• C. −1
• D. ∞

Hint:

Open-loop sensitivity with respect to forward gain is always 1.

Answer 1

The Correct Option is A

In an open-loop system, the output is directly proportional to the forward path transfer function, so the sensitivity of the system to changes in \( G(s) \) is: \[ S = \frac{\partial T}{\partial G} \cdot \frac{G}{T} = 1 \]