Two feedback systems are shown in the figure below (a) and (b). R(s) R(s) K₁ s+4 K₁ s+4 -2 (a) (b) 6 K₂ S-1 2 K₂ s-1 Y(s) Y(s) (a) Evaluate the closed-loop transfer functions T1 and T2 for each system. (b) Compare the sensitivities of the two systems with respect to the parameter K1 for the nominal values of K1 = K2 = 1.

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Please solve the following problem showing all steps and explanations. I'm not quite sure what it means by comparing the two sensitivities of the transfer functions. This is just practice for an upcoming exam
Two feedback systems are shown in the figure
below (a) and (b).
R(s)
R(S)
K₁
s+4
K₁
s+4
-2
(a)
(b)
6
K₂
S-1
2
K₂
s-1
Y(s)
Y(s)
(a) Evaluate the closed-loop transfer functions
T1 and T2 for each system.
(b) Compare the sensitivities of the two
systems with respect to the parameter K1 for
the nominal values of K1 = K2 = 1.
Transcribed Image Text:Two feedback systems are shown in the figure below (a) and (b). R(s) R(S) K₁ s+4 K₁ s+4 -2 (a) (b) 6 K₂ S-1 2 K₂ s-1 Y(s) Y(s) (a) Evaluate the closed-loop transfer functions T1 and T2 for each system. (b) Compare the sensitivities of the two systems with respect to the parameter K1 for the nominal values of K1 = K2 = 1.
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