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A control system with a $\text{PD}$ controller is shown in the figure. If the velocity error constant $K_{v}=1000$ and the damping ratio $\zeta=0.5$, then the values of $K_{P}$ and $K_{D}$ are

  1. $K_{P}=100, K_{D}=0.09$
  2. $K_{P}=100, K_{D}=0.9$
  3. $K_{P}=10, K_{D}=0.09$
  4. $K_{P}=10, K_{D}=0.9$
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