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Consider a closed-loop control system shown in Figure Q1 with K as proportional control gain. R(s) K Y(s) s(s² + 4s + 7) Figure Q1 a) Sketch a root locus for the above system by indicating the appropriate steps to obtain it. (15 marks) b) From the root locus obtained, find the range of K for an underdamped closed-loop response. Justify your answers. (5 marks)
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