Multiple choice

Step responses of a set of three second-order underdamped systems all have the same percentage overshoot. Which of the following diagrams represents the poles of the three systems?

  1.

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C Correct answer
Explanation

Transfer function for the given pole zero plot is: $$ \dfrac{(s+Z_1)(s+Z_2)}{(s+P_1)(s+P_2)} $$ From the plot $R_e \ (P_1 \ and \ P_2) > (Z_1 \ and Z_2)$

So, these are two lead compensator. Hence both high pass filters and the system is high pass filter.

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