Question: Problem 3. Consider a closed-loop system with G(s) = 1/((s+3)(s+5)(s+7)) operating with 10% overshoot. a) Given the operating point (s1,2 = 2.63 3.59) that satisfies

Problem 3. Consider a closed-loop system with G(s) = 1/((s+3)(s+5)(s+7)) operating with 10% overshoot. a) Given the operating point (s1,2 = 2.63 3.59) that satisfies the above transient specification, determine the gain K of the controller at this point. b) Design a lag compensator so that = 20.

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