Multiple choice

A double integrator plant, $G(s) = \dfrac{k}{s^2} \ H(s) = 1$ is to be compensated to achieve the damping ratio $\xi$ = 0.5, and an undamped natural, $\omega_n = 5\ rad/s$. Which one of the following compensator Gc(S) will be suitable?

  1. $\dfrac{s+3}{s+9.9}$
  2. $\dfrac{s+9.9}{s+3}$
  3. $\dfrac{s-6}{s+8.33}$
  4. $\dfrac{s+6}{s}$
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A Correct answer
Explanation

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