C(s) a) Find an equivalent closed-loop transfer function, R(s) for the system shown in Figure 3. Given block models are as follows: 6(s+2) 2 4 G,(s) = G2 (s) = G3 (s) =, H, (s) = 1, H2(s) = – s+8 s(s+1) ' b) For this system, select a range of feedback gain, K that will make the system stable. (Use Routh-Hurwitz criterion) G,(s) Figue ach system C(s) R(s) + G,(s) G,(s) H,(s) H,ls) Figure 3. Block diagram of the system.

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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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C(s)
3. a) Find an equivalent closed-loop transfer function,
R(s)
for the system
shown in Figure 3. Given block models are as follows:
6(s+2)
2
4
G, (s)
G2(s) =
G3 (s) = , H1 (s) = 1, H2(s) = -K
%3D
s+8
s(s+1)'
b) For this system, select a range of feedback gain, K that will make the
system stable. (Use Routh-Hurwitz criterion)
G,(s)
C(s)
R(s)
G,(s)
G,ls)
H,(s)
H,ls)
Figure 3. Block diagram of the system.
Transcribed Image Text:C(s) 3. a) Find an equivalent closed-loop transfer function, R(s) for the system shown in Figure 3. Given block models are as follows: 6(s+2) 2 4 G, (s) G2(s) = G3 (s) = , H1 (s) = 1, H2(s) = -K %3D s+8 s(s+1)' b) For this system, select a range of feedback gain, K that will make the system stable. (Use Routh-Hurwitz criterion) G,(s) C(s) R(s) G,(s) G,ls) H,(s) H,ls) Figure 3. Block diagram of the system.
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