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(Solved):   Consider the following plant: \[ G(s)=\frac{s+15}{(s+1)(s+2)(s+4)} \] Suppose the close lo ...



Consider the following plant:
\[
G(s)=\frac{s+15}{(s+1)(s+2)(s+4)}
\]
Suppose the close loop zero was cancelled and a state f

 

Consider the following plant: \[ G(s)=\frac{s+15}{(s+1)(s+2)(s+4)} \] Suppose the close loop zero was cancelled and a state feedback controller was used to produce the following transient characteristics, that is, a yield of \( 16.3 \% \) overshoot and settling time of \( 4 \mathrm{~s} \). From the information given which of the following are the correct \( K \) values? a. \( K=\left[\begin{array}{lll}68 & 48 & 24\end{array}\right] \) b. All of the given options c. \( K=\left[\begin{array}{lll}10 & 20 & 52\end{array}\right] \) d. \( K=\left[\begin{array}{lll}52 & 20 & 10\end{array}\right] \)


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Option d is righ
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