Question

For the block diagram shown in the figure, the correct expression for the transfer function \( G_d = \frac{y_1(s)}{d(s)} \) is:

• A. \(-\frac{G_{p1} G_{c2}}{1 + G_{c2} G_{c2} G_{p1} \cdot (1 + G_{c2} G_{p2})}\)
• B. \(-\frac{G_{p1} G_{c2}}{1 + G_{c2} G_{p2} + G_{c1} G_{c2} G_{p1} G_{p2}}\)
• C. \(-\frac{G_{p1} G_{c2}}{1 + G_{c2} G_{p2} + G_{c1} G_{c2} G_{p1}}\)
• D. \( \frac{1}{1 + G_{c2} G_{p2} + G_{c1} G_{c2} G_{p1} G_{p2}} \)

Answer 1

The Correct Option is C

The correct Answers are (C) :\(-\frac{G_{p1} G_{c2}}{1 + G_{c2} G_{p2} + G_{c1} G_{c2} G_{p1}}\)