Consider the unity-feedback control system with the following feedforward transfer function: K G(s) : s(s² + 4s + 5) ww. (1) Plot the root locus. (2) Determine closed-loop poles that have the damping ratio of 0.5. Find the gain value K at this point. (3) For what value of K is the overshoot less than 10% and the maximum rise time less than 1.5s.

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Consider the unity-feedback control system
with the following feedforward transfer
function:
K
G(s) :
s(s² + 4s + 5)
ww.
(1) Plot the root locus.
(2) Determine closed-loop poles that have the
damping ratio of 0.5.
Find the gain value K at this point.
(3) For what value of K is the overshoot less
than 10% and the maximum rise time less
than 1.5s.
Transcribed Image Text:Consider the unity-feedback control system with the following feedforward transfer function: K G(s) : s(s² + 4s + 5) ww. (1) Plot the root locus. (2) Determine closed-loop poles that have the damping ratio of 0.5. Find the gain value K at this point. (3) For what value of K is the overshoot less than 10% and the maximum rise time less than 1.5s.
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