5. A feedback system has loop transfer function K(s + 2) G(s)H(s) = s²2s + 10 - a) Sketch the root locus for the system as K varies from 0 to co; comment on the general stability and behavior of the system; 4 b) Determine for what values of K the system is stable (using Routh-Hurwitz); show these on the root locus; c) Determine the break-in/breakaway points of the root locus with the real axis; d) Determine for what values of K the system is under-damped, critically-damped, and overdamped; explain your work with reference to the root-locus plot.
5. A feedback system has loop transfer function K(s + 2) G(s)H(s) = s²2s + 10 - a) Sketch the root locus for the system as K varies from 0 to co; comment on the general stability and behavior of the system; 4 b) Determine for what values of K the system is stable (using Routh-Hurwitz); show these on the root locus; c) Determine the break-in/breakaway points of the root locus with the real axis; d) Determine for what values of K the system is under-damped, critically-damped, and overdamped; explain your work with reference to the root-locus plot.
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Transcribed Image Text:5. A feedback system has loop transfer function
G(s)H(s) =
K(s + 2)
s² - 2s + 10
a) Sketch the root locus for the system as K varies from 0 to co; comment on the general
stability and behavior of the system;
4
b) Determine for what values of K the system is stable (using Routh-Hurwitz); show
these on the root locus;
c) Determine the break-in/breakaway points of the root locus with the real axis;
d) Determine for what values of K the system is under-damped, critically-damped, and
overdamped; explain your work with reference to the root-locus plot.
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