Question

Find the equivalent transfer function, T(s) = C(s) / R(s), for the system shown in figure using Maso's Rule and block di...


Find the equivalent transfer function, T(s) = C(s) / R(s), for the system shown in figure using Maso's Rule and block diagram.

Transcribed: R(s) + 1 50 C(s) s + 1 2 2

Answer

Here,Forward path gain Path 1 -> 1s2x50s+1x s Path 2 -> 1s2x50s+1x 2Individual loop gain Loop 1 ->  1s2x50s+1x s x (-1)Loop 2 -> 50s+1x 2s x (-1)

According to mason's gain formulaC(s)R(s) = Path 1 + Path 2 1- Loop1 - Loop2             = 1s2x50s+1x s + 1s2x50s+1x 2 1- 1s2x50s+1x s x (-1) - 50s+1x 2s x (-1)              = 50s+100s3+s2+50s+100

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