closed-loop system has a loop transfer function K G.(s)G(s) = s(s + 5)(s + 10)'

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**Problem 9.23**

A closed-loop system has a loop transfer function given by:

\[ G_c(s)G(s) = \frac{K}{s(s + 5)(s + 10)} \]

(a) Determine the gain \( K \) so that the phase margin is 60°.

(b) For the gain \( K \) selected in part (a), determine the gain margin of the system.
Transcribed Image Text:**Problem 9.23** A closed-loop system has a loop transfer function given by: \[ G_c(s)G(s) = \frac{K}{s(s + 5)(s + 10)} \] (a) Determine the gain \( K \) so that the phase margin is 60°. (b) For the gain \( K \) selected in part (a), determine the gain margin of the system.
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