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(Solved): For the system in the figure consider: \[ G_{1}(s)=\frac{K}{s(s+1)} \] Find the range of \( K \) f ...



For the system in the figure consider:
\[
G_{1}(s)=\frac{K}{s(s+1)}
\]
Find the range of \( K \) for closed-loop stability. A

For the system in the figure consider: \[ G_{1}(s)=\frac{K}{s(s+1)} \] Find the range of \( K \) for closed-loop stability. Also find the value of \( K \) that results in a peak time of \( 1.5 \) seconds if the sampling time is \( T=0.3 \) seconds.


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