7. Consider the two systems in Figure 4.40. R(s) K1 K2 | Y(s) 0.0099 (i) R(s) K2 Y(s) 0.09 + 0.09 (ii) FIGURE 4.40 Two feedback systems with gains K, and K2. These systems have the same transfer function when K, = K2 = 100. Which system is most sensitive to variations in the parameter K ? Compute the sensitivity using the nom- inal values K, = K2 = 100. %3D a. System (i) is more sensitive and Sk, = 0.01 b. System (ii) is more sensitive and S, = 0.1 %3D c. System (ii) is more sensitive and S, = 0.01 %3D d. Both systems are equally sensitive to changes in K1.

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7. Consider the two systems in Figure 4.40.
R(s)
K,
K2
Y(s)
0.0099
(i)
R(s)
K2
Y(s)
0.09
0.09
(ii)
FIGURE 4.40
Two feedback systems with gains K, and K2.
These systems have the same transfer function when K
most sensitive to variations in the parameter K? Compute the sensitivity using the nom-
inal values K1
K2 = 100. Which system is
K2 = 100.
a. System (i) is more sensitive and S, = 0.01
b. System (ii) is more sensitive and Sk, = 0.1
%3D
%3D
c. System (ii) is more sensitive and Sk, = 0.01
d. Both systems are equally sensitive to changes in K1.
Transcribed Image Text:7. Consider the two systems in Figure 4.40. R(s) K, K2 Y(s) 0.0099 (i) R(s) K2 Y(s) 0.09 0.09 (ii) FIGURE 4.40 Two feedback systems with gains K, and K2. These systems have the same transfer function when K most sensitive to variations in the parameter K? Compute the sensitivity using the nom- inal values K1 K2 = 100. Which system is K2 = 100. a. System (i) is more sensitive and S, = 0.01 b. System (ii) is more sensitive and Sk, = 0.1 %3D %3D c. System (ii) is more sensitive and Sk, = 0.01 d. Both systems are equally sensitive to changes in K1.
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