GATE EE 2024 Set 1 — Question 21
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumFirst & Second-Order ResponseTime-Domain AnalysisControl SystemsTime-Domain Specifications
Control Systems → Time-Domain Analysis → First & Second-Order Response
Last updated
Question
Consider the standard second-order system of the form with the poles and having negative real parts. The pole locations are also shown in the figure. Now consider two such second-order systems as defined below:System 1: rad/sec and
System 2: rad/sec and Which one of the following statements is correct?
System 2: rad/sec and Which one of the following statements is correct?
Correct answer
(B) Settling time of System 2 is more than that of System 1.
Solution
The settling time for a standard second-order system (for 2% tolerance) is given by . From the pole-zero plot, the real part of the pole is . Thus, .
For System 1: .
For System 2: .
Since , the settling time of System 1 ( s) is less than the settling time of System 2 ( s). Therefore, the settling time of System 2 is more than that of System 1.
For System 1: .
For System 2: .
Since , the settling time of System 1 ( s) is less than the settling time of System 2 ( s). Therefore, the settling time of System 2 is more than that of System 1.
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 EE 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 Time-Domain Analysis
2026 Set 1 Q13The Laplace transform of the step response of a system is given by…2026 Set 1 Q29The asymptotic Bode magnitude plot of a system is shown. [figure] Which one of the following…2026 Set 1 Q52A system is characterized by the following state equation and output equation (: input,…2026 Set 1 Q53A system is represented in state-space form as follows: (: input, : state vector,…2025 Set 1 Q22Selected data points of the step response of a stable first-order linear time-invariant (LTI)…