Question

A Bode magnitude plot for the transfer function \( G(s) \) of a plant is shown below. Which one of the following transfer functions best describes the plant? 

• A. \( \frac{100}{s (s + 10)} \)
• B. \( \frac{s + 1000}{s^2 (s + 10)} \)
• C. \( \frac{10 (s + 10)}{s^2 + 1000} \)
• D. \( \frac{10 (s + 10)}{s (s + 1000)} \)

Answer 1

The Correct Option is A

Based on the Bode plot characteristics, we observe a slope change at break frequencies. The transfer function \[ \frac{100}{s(s+10)} \] fits the magnitude plot due to a pole at the origin and another pole at \( s = 10 \). 
\(\text{Conclusion:}\) The correct transfer function is given by option (a).