B-6-14. Consider the unity-feedback system whose feed- forward transfer function is G(s) F K s(s+ 1) The constant-gain locus for the system for a given value of K is defined by the following equation: K s(s + 1) = 1 Show that the constant-gain loci for 0 ≤ K ≤ ∞ may be given by [o(o + 1) + w²]²+ w² K² Sketch the constant-gain loci for K = 1, 2, 5, 10, and 20 on the s plane.

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B-6-14. Consider the unity-feedback system whose feed-
forward transfer function is
G(s)
F
K
s(s+ 1)
The constant-gain locus for the system for a given value of
K is defined by the following equation:
K
s(s + 1)
=
1
Show that the constant-gain loci for 0 ≤ K ≤ ∞ may be
given by
[o(o + 1) + w²]²+ w²
=
K²
Sketch the constant-gain loci for K = 1, 2, 5, 10, and 20 on
the s plane.
Transcribed Image Text:B-6-14. Consider the unity-feedback system whose feed- forward transfer function is G(s) F K s(s+ 1) The constant-gain locus for the system for a given value of K is defined by the following equation: K s(s + 1) = 1 Show that the constant-gain loci for 0 ≤ K ≤ ∞ may be given by [o(o + 1) + w²]²+ w² = K² Sketch the constant-gain loci for K = 1, 2, 5, 10, and 20 on the s plane.
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