GATE EC 2018 Set 1 — Question 39
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumTransfer Function from StatesState-Space AnalysisControl Systems
Control Systems → State-Space Analysis → Transfer Function from States
Last updated
Question
The state equation and the output equation of a control system are given below:The transfer function representation of the system is
Correct answer
(A) (3s+5)/(s²+4s+6)
Solution
Given the state-space representation:
where , , , and .The transfer function is given by the formula:
Step 1: Find
Step 2: Find the determinant of
Step 3: Find the inverse
Step 4: Calculate
Thus, the transfer function is , which corresponds to option (A).
where , , , and .The transfer function is given by the formula:
Step 1: Find
Step 2: Find the determinant of
Step 3: Find the inverse
Step 4: Calculate
Thus, the transfer function is , which 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 State-Space Analysis
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 …