GATE EC 2021 Set 1 — Question 23
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33EasyBlock Diagram ReductionSystem ModellingControl Systems
Control Systems → System Modelling → Block Diagram Reduction
Last updated
Question
The block diagram of a feedback control system is shown in the figure.
The transfer function of the system is
The transfer function of the system is
Correct answer
(C) (G₁ + G₂)/(1+ G₁H)
Solution
From the figure, let be the output of the first summing junction. Both and are fed from ; the feedback block takes its input from the output of (not from ).Inner loop: the output of is , soOutput summer:Hence
- (A) would result if were fed directly from (before the summer).
- (B) would need to sense the total output .
- (D) does not correspond to this structure.
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on System Modelling
2026 Set 1 Q11Consider the differential equation , with…2026 Set 1 Q19A control system is shown in the Figure. Which option represents the correct transfer function of…2026 Set 1 Q40For the control system shown in the Figure, the transfer function of a plant,…2026 Set 1 Q41The state and output equations for a control system are:…2026 Set 1 Q59Consider the unity negative feedback control system shown in the Figure. The value of gain …