Question: A unity feedback control system has a transfer function We desire the dominant roots to have a damping ratio equal to 0.707. Find the gain

A unity feedback control system has a transfer function

We desire the dominant roots to have a damping ratio equal to 0.707. Find the gain K when this condition is satisfied. Show that the complex roots are s = -3.56 ± j3.56 at this gain.

K(s 10s+ 30) s(s 10)

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