GATE ECE topic:control-systems PYQs & Answers — Page 6

Questions 51–56 of 56. Imported answers require independent review unless marked reviewed.

A unity feedback control system is characterized by the open-loop transfer function

. The value of

for which the system oscillates at

is ________

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A linear time invariant (LTI) system with the transfer function

is connected in unity feedback configuration as shown in the figure.

Diagram for Electronics and Communication Engineering question 47

For the closed loop system shown, the root locus for

intersects the imaginary axis for

. The closed loop system is stable for

Your answerChoose one option.

no positive value of

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A second-order LTI system is described by the following state equations,

, where

and

are the two state variables and

denotes the input. The output

. The system is

Your answerChoose one option.

undamped (oscillatory)

underdamped

critically damped

overdamped

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Which one of the following options correctly describes the locations of the roots of the equation

on the complex plane?

Your answerChoose one option.

Four left half plane (LHP) roots

One right half plane (RHP) root, one LHP root and two roots on the imaginary axis

Two RHP roots and two LHP roots

All four roots are on the imaginary axis

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A unity feedback control system is characterized by the open-loop transfer function

. The Nyquist path and the corresponding Nyquist plot of

are shown in the figures below.

Diagram for Electronics and Communication Engineering question 48

, then the number of poles of the closed-loop transfer function that lie in the right-half of the

-plane is

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The Nyquist plot of the transfer function

does not encircle the point

for

but does encircle the point

for

. Then the closed loop system (having unity gain feedback) is

Your answerChoose one option.

stable for

and stable for

stable for

and unstable for

unstable for

and stable for

unstable for

and unstable for

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE ECE topic:control-systems PYQs

Question 46

Question 47

Question 47

Question 48

Question 48

Question 49