5.7 A plant has the following second-order transfer function. Y(s) 9 X(s) s² + 12s + 9 G(s) a. Determine if the plant is underdamped, overdamped, or critically damped. b. Find the time response for a step input, x(t) = u(t). =

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5.7 A plant has the following second-order transfer function.
Y(s)
9
X(s) s² + 12s + 9
G(s):
=
=
a. Determine if the plant is underdamped, overdamped, or critically damped.
b. Find the time response for a step input, x(t) = u(t).
Transcribed Image Text:5.7 A plant has the following second-order transfer function. Y(s) 9 X(s) s² + 12s + 9 G(s): = = a. Determine if the plant is underdamped, overdamped, or critically damped. b. Find the time response for a step input, x(t) = u(t).
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