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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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written 8.2 years ago by |
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(P−Z), 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 …