GATE EC 2017 Set 2 — Question 18
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Control Systems → System Modelling → Block Diagram Reduction
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Question
For the system shown in the figure, 
📷 Figure:
Correct answer
0.95 to 1.05
Solution
1.Let the output of the first summing junction be .
2.From the diagram, the first junction has a positive input and a negative feedback input . Thus, .
3.The signal passes through the gain block . The output of this block is .
4.The final output is the sum of the feedforward path and the output of the gain block at the second summing junction.
5.
6.
7.
8.Rearranging the terms:
9.Therefore, the transfer function is .
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