In the control system, shown in Fig. 5.4 , determine the value of " \(k_{1}\) " and " \(k_{2}\)," so that the damping ratio and the settling time ( \(5 \%\) criterion) of the closed-loop system are 0.5 and 2 seconds, respectively.

1) \(k_{1}=4, k_{2}=3\)
2) \(k_{1}=16, k_{2}=3\)
3) \(k_{1}=9, k_{2}=2\)
4) \(k_{1}=3, k_{2}=2\)

Figure 5.4

1 R(s)- k Y(s) s(s+1) k2s