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The signal flow graph for a system is given below. The transfer function Y(S) U(S)
for this system is
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s + 1 5s2 + 6s + 2 -
s + 1 s2 + 6s + 2 -
s + 1 s2 + 4s + 2 -
1 5s2 + 6s + 2
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Correct Option: A
Forward path
Loop L1 = – 4S– 1
L2 = – 2S– 1 S– 1 = – 2S– 2
L3 = – 2S– 1
L4 = – 4
| T(s) = | ||
| 1 + 4 + 2S– 1 + 2S– 2 + 4S– 1 |
| = | = | ||
| S + 6S–1 + 2S– 2 | 5S2 + 6S + 2 |
