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The characteristic equation of a control system is given as 1+ K(s+4)/s(s+7)(s^2+2s+2)=0. The real axis intercept for root locus asymptote is:(a) -2.25(b) -1(c) -1.67(d) 0The question was asked in quiz.Query is from Construction of Root Loci in chapter The Root Locus Technique of Control Systems

Answer»

The correct option is (c) -1.67

To elaborate: Real AXIS intercept =centroid

Zero =-4 and POLE = -7, -1, -1, 0

Centroid =Σreal part of open loop pole-Σreal part of open loop zeroes/P-Z

Centroid = -7-1-1+4/3 = -1.67.



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