GATE EC 2026 Set 1 — Question 59
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumRouth-Hurwitz CriterionStability AnalysisControl Systems
Control Systems → Stability Analysis → Routh-Hurwitz Criterion
Last updated
Question
Consider the unity negative feedback control system shown in the Figure. The value of gain () at which the given system will remain marginally stable is __.(Answer in integer)
Correct answer
1386 to 1386
Solution
The characteristic equation of the unity negative feedback system is given by:Given and .To find the value of for marginal stability, we use the Routh-Hurwitz criterion:
For marginal stability, the row of must be zero:Since , the system is marginally stable at .
| 1 | 77 | |
|---|---|---|
| 18 | ||
| 0 | ||
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 Stability 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:…2025 Set 1 Q16The Nyquist plot of a system is given in the figure below. Let , and…