GATE EC 2026 Set 1 — Question 19
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Control Systems → System Modelling → Block Diagram Reduction
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Question
A control system is shown in the Figure. Which option represents the correct transfer function of the system?
Correct answer
(B) (1)/((s+4))
Solution
Let the output of the first summing junction be .From the block diagram:
1.The forward path output is .
2.The second summing junction (SJ2) receives at its positive terminal and the output of the bottom block at its negative terminal.
3.The bottom block takes its input from , so its output is .
4.The feedback signal is the output of SJ2:
5.Substituting into the expression for :
6.The first summing junction (SJ1) equation is:
7.Since , we have .
8.Substituting this back into the expression for :
9.The transfer function is:
Therefore, the correct option is (B).Continue learning with Success Tracker
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