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The open loop transfer function of the feedback control system is given by G(s) =K(s+3)/s(s+4)2(s+5)(s+6). The number of asymptotes and the centroid of asymptotes of the root loci of closed loop system is

The open loop transfer function of the feedback control system is given by G(s) =K(s+3)/s(s+4)2(s+5)(s+6). The number of asymptotes and the centroid of asymptotes of the root loci of closed loop system is Correct Answer 4 and (-4,0)

Number of Poles = 5 Zeroes =1 Asymptotes =P-Z =4 Centroid =Σreal part of open loop pole-Σreal part of open loop zeroes/P-Z Centroid = -4-4-5-6+3/4 =-4.

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