A negative feedback system has a loop transfer function L(s) K(s 2) s(s 1) (a) Find the value of the gain when the of the closed loop roots is equal to 0 707 (b) Find the value of the gain when the closed loop system has two roots on the imaginary axis

Question: A negative feedback system has a loop transfer function L(s) = K(s + 2) / s(s - 1). (a) Find the value of the gain

A negative feedback system has a loop transfer function
L(s) = K(s + 2) / s(s - 1).
(a) Find the value of the gain when the ζ of the closed-loop roots is equal to 0.707.
(b) Find the value of the gain when the closed-loop system has two roots on the imaginary axis.

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