Question: A closed-loop control system with negative unity feedback has a loop transfer function (a) Determine the closed-loop transfer function T(s). (b) Determine a second-order approximation

A closed-loop control system with negative unity feedback has a loop transfer function

(a) Determine the closed-loop transfer function T(s).
(b) Determine a second-order approximation for T(s).
(c) Plot the response of T(s) and the second-order approximation to a unit step input and compare the results.

L(s) = Gds)G(s)-s(s2 +6s + 12)

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