GATE EC 2023 Set 1 — Question 42
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumBlock Diagram ReductionSystem ModellingControl Systems
Control Systems → System Modelling → Block Diagram Reduction
Last updated
Question
In the following block diagram, and are two inputs. The output is expressed as . and are given by

Correct answer
(A) G₁(s) = (G(s))/(1 + G(s) + G(s)H(s)) and G₂(s) = (G(s))/(1 + G(s) + G(s)H(s))
Solution
From the block diagram, we can write the equation for the output :Expanding the terms:Rearranging to group terms on one side:Comparing this with , we find:This corresponds to option (A).
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 …