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Question 8.SE6: PROBLEM: Given a unity feedback system that has the forward-...

PROBLEM: Given a unity feedback system that has the forward-path transfer function

G(s)=\frac{K}{(s+2)(s+4)(s+6)}

do the following:

a. Sketch the root locus.

b. Using a second-order approximation, design the value of K to yield 10% overshoot for a unit-step input.

c. Estimate the settling time, peak time, rise time, and steady-state error for the value of K designed in (b).

d. Determine the validity of your second-order approximation.

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