Problem 4. Root-Locus Design (30 points) Consider the unity feedback system in the following figure G(s) — (s +2)(s + 4)(s + 6) K (a) Find K so that the system is operated with 10% overshoot. (b) Using root-locus method, design a lag compensator to improve the steady state error without appreciably changing the dominant pole location which will yield K,, = 20.
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