Consider the transfer function (s+3) (s+2) (s² +2s + 4) for the positive feedback system as shown in the figure below. R(s) + G(s) K = s+3 (s+2)(s²+2s+4) Y(s) Recall that the closed-loop transfer function for a positive feedback system is given by Y(s) KG(s) R(s) 1 - KG(s) =
Consider the transfer function (s+3) (s+2) (s² +2s + 4) for the positive feedback system as shown in the figure below. R(s) + G(s) K = s+3 (s+2)(s²+2s+4) Y(s) Recall that the closed-loop transfer function for a positive feedback system is given by Y(s) KG(s) R(s) 1 - KG(s) =
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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CONSTRUCT THE ROOT LOCUS FOR THIS SYSTEM
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Transcribed Image Text:Consider the transfer function
(s+3)
(s + 2) (s² +2s + 4)
for the positive feedback system as shown in the figure below.
R(s) +
G(s) =
K
s+3
(s+2)(s²+2s+4)
=
Y(s)
Recall that the closed-loop transfer function for a positive feedback system is given by
Y(s)
KG(s)
R(s) 1- KG(s)
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Step 1: Summarize the given information.
VIEWStep 2: Determining the loop transfer function and concluding the type of plot (RL or CRL).
VIEWStep 3: Determining the open-loop poles, open-loop zeros and number of asymptotes.
VIEWStep 4: Determining the real axis segment.
VIEWStep 5: Determining the centroid and angle of asymptotes.
VIEWStep 6: Determining the break points.
VIEWStep 7: Determining the angle of departure and angle of arrival.
VIEWStep 8: Intersection of the locus with the imaginary axis of s-plane.
VIEWStep 9: Drawing the complete complementary root locus.
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