GATE ECE · 2025 · EC
Question 36: Control Systems
Give it a try, then reveal the answer to check your work.
Question 36
ECMCQ2 marksNeeds review
Let
be the transfer function of a second-order system. A controller
is connected to the system
in the configuration shown below.Consider the following statements.
(i) There exists no controller of the form
, where
is a positive real number, such that the closed loop system is stable.(ii) There exists at least one controller of the form
, where
and
are positive real numbers, such that the closed loop system is stable.Which one of the following options is correct?

Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerEXPLORE & PRACTISE
Paper and topic context
See where this question comes from and choose what to practise next.
2025EC
GATE ECE 2025 · Paper 1
Electronics and Communication Engineering · Original paper archive
- Section
- Electronics and Communication Engineering
- Question type
- Multiple choice (MCQ)
- Marks
- 2 marks
Practise related topics
Explore more previous year questions using this question’s imported topic tags.
electronics
GATE ECE previous year questions
communication engineering
GATE ECE previous year questions
signals and systems
GATE ECE previous year questions
control systems
GATE ECE previous year questions
transfer function
GATE ECE previous year questions
Comments
Ask a question, share your approach, or help someone understand.
Log in to view the discussion
You’re not logged in. Log in or create an account to see discussions and add comments.