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Determine the centroid of the root locus for the system having G(s)H(s) = K/(s+1)(s^2+4s+5)(a) -2.1(b) -1.78(c) -1.66(d) -1.06I have been asked this question in a job interview.My query is from Construction of Root Loci in division The Root Locus Technique of Control Systems

Answer»

Correct option is (C) -1.66

To explain I would SAY: Roots of the open LOOP transfer FUNCTION are -1,-2+j, -2-j then centroid =Σreal PART of open loop pole-Σreal part of open loop zeroes/P-Z

Centroid =(-1-2-2)-0/3 =-5/3 =-1.66.



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