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Consider the following plant: \( G(s)=\frac{s+15}{(s+1)(s+2)(s+4)} \) given which of the following are the correct \( K \) values? All of the given options b. \( K=\left[\begin{array}{lll}52 & 20 & 10\end{array}\right] \) \( K=\left[\begin{array}{lll}10 & 20 & 52\end{array}\right] \) d. \( K=\left[\begin{array}{lll}68 & 48 & 24\end{array}\right] \)

Answer: b) K =[52 20 10] The desired transient characteristics can be achieved by using the proper state feedback controller, which consists of a gain