Question: A unity feedback system has a loop transfer function (a) Draw the root locus as z varies from 0 to 100. (b) Using the root

A unity feedback system has a loop transfer function

(a) Draw the root locus as z varies from 0 to 100.
(b) Using the root locus, estimate the percent overshoot and settling time (with a 2% criterion) of the system at z = 0.6, 2, and 4 for a step input.
(c) Determine the actual overshoot and settling time at z = 0.6, 2, and 4.

4(s + z) s(s + 1)(s + 3) L(s) = G(s)G(s) !!

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