A unity feedback control system has a transfer function G(s) = K(s + 6s + 12) s (s+ 1) We desire the dominant roots to have a damping ratio equal to 0.707. Find the gain K when th condition is satisfied. Show that the complex roots are s = -2.3 t j2.3 at this gain.

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A unity feedback control system has a transfer function
G(s) = K(s + 6s + 12)
3(s+1)
We desire the dominant roots to have a damping ratio equal to 0.707. Find the gain K when thi
condition is satisfied. Show that the complex roots are s= -2.3 t j2.3 at this gain.
Transcribed Image Text:A unity feedback control system has a transfer function G(s) = K(s + 6s + 12) 3(s+1) We desire the dominant roots to have a damping ratio equal to 0.707. Find the gain K when thi condition is satisfied. Show that the complex roots are s= -2.3 t j2.3 at this gain.
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