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The signal flow graph of a system is shown below. U(s) is the input and C(s) is the output
Assuming, h1 = b1 and h0 = b0 – b1 a1, then input-outputtransfer function, G(s) = C(s) of the system is given by U(s)
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G(s) = b0s + b1 s2 + a0s + a1 -
G(s) = a1s + a0 s2 + b1s + b0 -
G(s) = b1s + b0 s2 + a1s + a0 -
G(s) = a0s + a1 s2 + b0s + b1
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Correct Option: C
| From the signal flow graph, G(s) = | ||
| U(s) |
By mason’s gain relation,
| Transfer function = | ||
| ∆ |
| P1 = | ; P2 = | |||
| S | s2 |
| ∆1 = |  | 1 + |  | ; ∆2 = 1 ; | |
| s |
| ∆ = 1 + | + | |||
| s | s2 |
| Transfer function = | | 1 + | | + | |||
| s | s | s2 | = | ||||
| 1 + | + | s2 + a1s + a0 | |||||
| s | s2 | ||||||
