GATE ECE Control Systems PYQs & Answers

Questions 1–10 of 56. 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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Consider the unity negative feedback control system shown in the Figure. The value of gain

(

) at which the given system will remain marginally stable is ___. (Answer in integer)

Diagram for Electronics and Communication Engineering question 59

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The Nyquist plot of a system is given in the figure below. Let

, and

be the positive frequencies at the points

, and

, respectively. Which one of the following statements is TRUE?

Diagram for Electronics and Communication Engineering question 16

Your answerChoose one option.

is the gain crossover frequency and

is the phase crossover frequency

is the gain crossover frequency and

is the phase crossover frequency

is the gain crossover frequency and

is the phase crossover frequency

is the gain crossover frequency and

is the phase crossover frequency

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Consider the unity-negative-feedback system shown in Figure (i) below, where gain

. The root locus of this system is shown in Figure (ii) below.

Diagram for Electronics and Communication Engineering question 26

Diagram for Electronics and Communication Engineering question 26 (figure 2)

For what value(s) of

will the system in Figure (i) have a pole at

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

For no positive value of

For all positive values of

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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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Consider the polynomial

. Let

be defined as follows.

is the number of roots of

with negative real parts.

is the number of roots of

that are purely imaginary.

is the number of roots of

with positive real parts.

Which one of the following options is correct?

Your answerChoose one option.

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Consider a system where

, and

are three internal state signals and

is the input signal. The differential equations governing the system are given by

Which of the following statements is/are TRUE?

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

The signals

, and

are bounded for all bounded inputs

There exists a bounded input such that at least one of the signals

, and

is unbounded

There exists a bounded input such that the signals

, and

are unbounded

The signals

, and

are unbounded for all bounded inputs

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Consider a system represented by the block diagram shown below. Which of the following signal flow graphs represent(s) this system? Choose the correct option(s).

Diagram for Electronics and Communication Engineering question 56

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

Diagram for Electronics and Communication Engineering question 56 (figure 2)

Diagram for Electronics and Communication Engineering question 56 (figure 3)

Diagram for Electronics and Communication Engineering question 56 (figure 4)

Diagram for Electronics and Communication Engineering question 56 (figure 5)

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GATE ECE Control Systems PYQs

How to practice Control Systems

Question 19

Question 40

Question 41

Question 59

Question 16

Question 26

Question 36

Question 37

Question 53

Question 56