GATE ECE concept:transfer-function PYQs & Answers

Questions 1–10 of 29. Imported answers require independent review unless marked reviewed.

A control system is shown in the Figure.

Which option represents the correct transfer function of the system?

Diagram for Electronics and Communication Engineering question 19

Your answerChoose one option.

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For the control system shown in the Figure, the transfer function of a plant,

is connected in cascade with a compensator

, where

and

are positive real valued constants. Which of the following pairs

represent the correct values for the closed loop system to have poles at

Diagram for Electronics and Communication Engineering question 40

Your answerChoose one option.

2, 3

3, 4

2, 4

3, 3

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The state and output equations for a control system are:

Which of the following expressions correctly represents the transfer function

of the system with zero initial conditions?

Your answerChoose one option.

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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?

Diagram for Electronics and Communication Engineering question 36

Your answerChoose one option.

(i) is TRUE and (ii) is FALSE

(i) is FALSE and (ii) is TRUE

Both (i) and (ii) are FALSE

Both (i) and (ii) are TRUE

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A satellite attitude control system, as shown below, has a plant with transfer function

cascaded with a compensator

, where

and

are positive real constants.

Diagram for Electronics and Communication Engineering question 38

In order for the closed-loop system to have poles at

, the value of

must be ______.

Your answerChoose one option.

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Consider a system

represented in state space as

. Which of the state space representations given below has/have the same transfer function as that of

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

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The open loop transfer function of a unity negative feedback system is

, where

and

are positive constants. The phase crossover frequency, in rad/s, is

Your answerChoose one option.

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The asymptotic magnitude Bode plot of a minimum phase system is shown in the figure

Diagram for Electronics and Communication Engineering question 57

. The transfer function of the system is

, where

and

are positive constants. The value of

is ______ (rounded off to the nearest integer).

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Consider a closed-loop control system with unity negative feedback and

in the forward path, where the gain

. The complete Nyquist plot of the transfer function

is shown in the figure. Note that the Nyquist contour has been chosen to have the clockwise sense. Assume

has no poles on the closed right-half of the complex plane. The number of poles of the closed-loop transfer function in the closed right-half of the complex plane is ____________.

Diagram for Electronics and Communication Engineering question 21

Your answerChoose one option.

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The root-locus plot of a closed-loop system with unity negative feedback and transfer function

in the forward path is shown in the figure. Note that

is varied from 0 to

Select the transfer function

that results in the root-locus plot of the closed-loop system as shown in the figure.

Diagram for Electronics and Communication Engineering question 22

Your answerChoose one option.

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GATE ECE concept:transfer-function PYQs

How to practice concept:transfer-function

Question 19

Question 40

Question 41

Question 36

Question 38

Question 53

Question 25

Question 57

Question 21

Question 22