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Root Locus
Root Locus
• Introduced by W.R.Evans in 1948
• Root locus is a power tool for adjusting the
location of closed loop poles to achieve the
desired performance by varying one or more
system parameters
• Used for stability analysis of control system
Procedure for Root locus
p – No of poles
z – No of zeros
Poles and Zeros
Root locus on real axis
Centroid and Angle of Asymptotes
Breakaway point
Intersection at imaginary axis
Root locus, procedure, problem solved in root locus
Root locus, procedure, problem solved in root locus
Root locus, procedure, problem solved in root locus
Root locus, procedure, problem solved in root locus
A unity feedback control system has an open loop transfer function. Sketch the root
locus.
Root locus, procedure, problem solved in root locus
Root locus, procedure, problem solved in root locus
Root locus, procedure, problem solved in root locus
Root locus, procedure, problem solved in root locus
Root locus, procedure, problem solved in root locus
Problem
Poles and Zeroes
Root locus on real axis
Centroid and Angle and asymptotes
Angle and asymptotes
Breakaway points
Intersection point at imaginary axis
Angle of departure
Root locus sketch

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Root locus, procedure, problem solved in root locus