Question 3 (25 Marks) Given the unity feedback system of Figure 2.2 with: G(s) = K(s² - 4s + 8) s(s+5)(s + 10) Draw the

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Question 3 25 Marks Given The Unity Feedback System Of Figure 2 2 With G S K S 4s 8 S S 5 S 10 Draw The 1 (320.47 KiB) Viewed 42 times

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Question 3 (25 Marks) Given the unity feedback system of Figure 2.2 with: G(s) = K(s² - 4s + 8) s(s+5)(s + 10) Draw the root locus and include the following steps: a. Find the points where the root locus may cross the imaginary axis and the gain at the crossing points. b. Calculate the angle of arrival. c. Find the breakaway/break-in point on the real axis. ii. Find the gain at the point where the locus crosses the 0.5 damping ratio line. iii. Find the location of the third closed loop pole for the gain found in part ii above. Discuss the second-order approximation for the gain found in part ii above.