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Draw the root locus of the control system whose open loop transfer function is given by G(S)H(S)=k(S2(S+1))
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G(S)H(S)=k(S2(S+1)

No. of poles P=3 S=0, S=0, S=-1

No. of zeros Z=0

No. of branches ending at ∞

N=P-Z

=3-0

=3

Angle of asympoles will be,

Θ=(2q+1)180(PZ), q=0, 1, 2

θ_1 =(2x0+1)180)3=180/3=60

θ_2 =(2x1+1)180)3=180

θ_3 =(2x2+1)180)3=900/3=300

Centroid

σ=$\frac{(Ʃ real part …

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