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Question: 3 for a unity feedback system with forwardpath transfer function...

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3. For a unity feedback system with forward-path transfer function: G(s) K(s +2) (a) Sketch the root locus. i. Draw the finite open-loop poles and zeros. ii. Draw the real-axis root locus. ii. Draw the asymptotes and root locus branches. (b) Find the value of gain that will make the system marginally stable. (c) Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at -0.5.

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