R(s) G(s) Y(s) Now consider the same transfer function, G(s) = 8 -1 under negative unity feedback, as (s+1)²(s+2)' shown in the figure to the right. The characteristic function of is A(s) = s³ + 4s² + s(5+ K) +2 – K. 2. Using either a Routh-Hurwitz table, or the Hurwitz conditions in conjunction with a root locus plot or sketch, to find (a) the values of K > 0 for which will be asymptotically stable, and (b) the number of poles, if any, which cause instability, for relevant gains K.

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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R(s)
K
G(s)
Y(s)
Now consider the same transfer function, G(s)
s - 1
(s + 1)2(s + 2)
shown in the figure to the right. The characteristic
function of is A(s) = s³ + 4s? + s(5+ K) +2 – K.
under negative unity feedback, as
2. Using either a Routh-Hurwitz table, or the Hurwitz conditions in conjunction with a root
locus plot or sketch, to find
(a) the values of K > 0 for which 8 will be asymptotically stable, and
(b) the number of poles, if any, which cause instability, for relevant gains K.
Transcribed Image Text:R(s) K G(s) Y(s) Now consider the same transfer function, G(s) s - 1 (s + 1)2(s + 2) shown in the figure to the right. The characteristic function of is A(s) = s³ + 4s? + s(5+ K) +2 – K. under negative unity feedback, as 2. Using either a Routh-Hurwitz table, or the Hurwitz conditions in conjunction with a root locus plot or sketch, to find (a) the values of K > 0 for which 8 will be asymptotically stable, and (b) the number of poles, if any, which cause instability, for relevant gains K.
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