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The intersection of asymptotes of root loci of a system with open loop transfer function G(s)H(s) = K/s(s+1)(s+3) is(a) 1.44(b) 1.33(c) -1.44(d) -1.33The question was posed to me during a job interview.This intriguing question comes from Construction of Root Loci in division The Root Locus Technique of Control Systems

Answer»

The correct answer is (d) -1.33

The explanation: The intersection of ASYMPTOTES of root loci of a SYSTEM is same as the centroid which is centroid =Σreal part of OPEN LOOP pole-Σreal part of open loop zeroes/P-Z.

Centroid = -4/3=-1.33.



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