GATE EC 2016 Set 3 — Question 58
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumRoot Locus InterpretationStability AnalysisControl Systems
Control Systems → Stability Analysis → Root Locus Interpretation
Last updated
Question
The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control system are given asrespectively. If the variable parameter is real positive, then the location of the breakaway point on the root locus diagram of the system is __________
Correct answer
-3.45
Solution
The characteristic equation is :
For breakaway/break-in points, :
Open-loop poles are at and the zero is at . The root locus exists on the real axis for . Thus, is the valid break-in point on the root locus.
For breakaway/break-in points, :
Open-loop poles are at and the zero is at . The root locus exists on the real axis for . Thus, is the valid break-in point on the root locus.
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:…2026 Set 1 Q59Consider the unity negative feedback control system shown in the Figure. The value of gain …