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7.14 The loop transfer function of a unity feedback system is K(s + 2)(s + 3) L(s) = G.(s)G(s) = %3D %3D s2(s + 1)(s + 15)(s + 20) This system is called conditionally stable because it is stable only for a range of the gain K such that k < K < k. Using the Routh-Hurwitz criteria and the root locus method, determine the range of the gain for which the system is stable. Sketch the root locus for 0 < K < ∞.

7.14 The loop transfer function of a unity feedback system is K(s + 2)(s + 3) L(s) = G.(s)G(s) = %3D %3D s2(s + 1)(s + 15)(s + 20) This system is called conditionally stable because it is stable only for a range of the gain K such that k < K < k. Using the Routh-Hurwitz criteria and the root locus method, determine the range of the gain for which the system is stable. Sketch the root locus for 0 < K < ∞.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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7.14 The loop transfer function of a unity feedback system is K(s + 2)(s + 3) L(s) = G.(s)G(s) = s2(s + 1)(s + 15)(s + 20) This system is called conditionally stable because it is stable only for a range of the gain K such that ki < K < k. Using the Routh-Hurwitz criteria and the root locus method, determine the range of the gain for which the system is stable. Sketch the root locus for 0 < K < ∞.
Transcribed Image Text:7.14 The loop transfer function of a unity feedback system is K(s + 2)(s + 3) L(s) = G.(s)G(s) = s2(s + 1)(s + 15)(s + 20) This system is called conditionally stable because it is stable only for a range of the gain K such that ki < K < k. Using the Routh-Hurwitz criteria and the root locus method, determine the range of the gain for which the system is stable. Sketch the root locus for 0 < K < ∞.
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