P9.21 Consider a unity feedback system with the loop transfer function K G(s)G(s) %3D s(s + 1)(s + 4)' (a) For K = 4. Determine the gain margin. (b) the value of K required to pro-vide a gain margin equal to 12 dB, and (c) the value of K to yield a steady-state error of 25% of the magni-tude A for the ramp input r(t) = At, t > 0. Can this gain be utilized and achieve acceptable performance?

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Р9.21
Consider a unity feedback system with the loop
transfer function
K
G(s)G(s) =
s(s + 1)(s + 4)'
(a) For K = 4. Determine the gain margin.
(b) the value of K required to pro-vide a gain margin
equal to 12 dB, and (c) the valuc of K to yicld a
steady-state error of 25% of the magni-tude A for
the ramp input r(t) = At, t > 0. Can this gain be
utilized and achieve acceptable performance?
Transcribed Image Text:Р9.21 Consider a unity feedback system with the loop transfer function K G(s)G(s) = s(s + 1)(s + 4)' (a) For K = 4. Determine the gain margin. (b) the value of K required to pro-vide a gain margin equal to 12 dB, and (c) the valuc of K to yicld a steady-state error of 25% of the magni-tude A for the ramp input r(t) = At, t > 0. Can this gain be utilized and achieve acceptable performance?
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