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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.

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.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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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