Question: (a) Use MATLAB to obtain the root locus plot of 2s3 + 12s2 + 16s + K = 0 for K 0. (b) Obtain

(a) Use MATLAB to obtain the root locus plot of 2s3 + 12s2 + 16s + K = 0 for K ≥ 0. (b) Obtain the value of K required to give a dominant root pair having ( = 0.707. (c) For this value of K. obtain the unit-step response and the maximum overshoot, and evaluate the effects of the secondary root. The closed-loop transfer function is K/(2s3 + 12s2 + 16s + K).

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