GATE ECE concept:transfer-function PYQs & Answers — Page 2

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concept:transfer-function

Questions 11–20 of 29. Imported answers require independent review unless marked reviewed.

Topic practice 29 questionsPage 2 of 3

Two linear time-invariant systems with transfer functions

and

have unit step responses

and

, respectively. Which of the following statements is/are true?

Your answerSelect all correct options. You can choose more than one.

and

have the same percentage peak overshoot.

and

have the same steady-state value.

and

have the same damped frequency of oscillation.

and

have the same 2% settling time.

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The block diagram of a feedback control system is shown in the figure. The transfer function

of the system is

Diagram for Electronics and Communication Engineering question 13

Your answerChoose one option.

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The complete Nyquist plot of the open-loop transfer function

of a feedback control system is shown in the figure. If

has one zero in the right-half of the

-plane, the number of poles that the closed-loop system will have in the right-half of the

-plane is

Diagram for Electronics and Communication Engineering question 14

Your answerChoose one option.

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The loop transfer function of a negative feedback system is

The value of K, for which the system is marginally stable, is ______.

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A system with transfer function

is subjected to an input 5 cos 3t. The steady state output of the system is

The value of a is ______.

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Let

be the unit-step response of a causal system having a transfer function

that is,

. The forced response of the system is

Your answerChoose one option.

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Consider a causal second-order system with the transfer function

with a unit-step

as an input. Let

be the corresponding output. The time taken by the system output

to reach 94% of its steady-state value

, rounded off to two decimal places, is

Your answerChoose one option.

5.25

4.50

3.89

2.81

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The block diagram of a system is illustrated in the figure shown, where

is the input and

is the output. The transfer function

Diagram for Electronics and Communication Engineering question 32

Your answerChoose one option.

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Let the state-space representation of an LTI system be

where

are matrices,

is a scalar,

is the input to the system, and

is its output. Let

and

. Which one of the following options for

and

will ensure that the transfer function of this LTI system is

Your answerChoose one option.

and

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Consider a unity feedback system, as in the figure shown, with an integral compensator

and open-loop transfer function

, where

. The positive value of

for which there are exactly two poles of the unity feedback system on the

axis is equal to ______ (rounded off to two decimal places).

Diagram for Electronics and Communication Engineering question 42

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GATE ECE concept:transfer-function PYQs

Question 50

Question 13

Question 14

Question 23

Question 49

Question 5

Question 31

Question 32

Question 33

Question 42