GATE ECE concept:transfer-function PYQs & Answers — Page 3

Questions 21–29 of 29. Imported answers require independent review unless marked reviewed.

The state equation and the output equation of a control system are given below:

The transfer function representation of the system is

Your answerChoose one option.

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For a unity feedback control system with the forward path transfer function

The peak resonant magnitude

of the closed-loop frequency response is 2. The corresponding value of the gain

(correct to two decimal places) is ________.

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The figure below shows the Bode magnitude and phase plots of a stable transfer function

Diagram for Electronics and Communication Engineering question 42

Consider the negative unit feedback configuration with gain

in the feedback path. The closed loop is stable for

. The maximum value of

is ______.

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The open loop transfer function

where

is an integer, is connected in unity feedback configuration as shown in the figure.

Diagram for Electronics and Communication Engineering question 18

Given that the steady state error is zero for unit step input and is 6 for unit ramp input, the value of the parameter

is __________.

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Consider a stable system with transfer function

where

and

are real valued constants. The slope of the Bode log magnitude curve of

converges to

dB/decade as

. A possible pair of values for

and

Your answerChoose one option.

and

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

. The value of

for which the system oscillates at

is ________

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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

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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.

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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

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GATE ECE concept:transfer-function PYQs

Question 29

Question 41

Question 42

Question 18

Question 19

Question 46

Question 47

Question 48

Question 49