GATE IN Control Systems PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 56. Imported answers require independent review unless marked reviewed.

Topic practice 56 questionsPage 1 of 6

Among the following, the differential equation(s) not represent of a linear dynamic system is/are ____.

(i)

(ii)

(iii)

Your answerChoose one option.

(i) and (ii) only

(i) only

(ii) only

(ii) and (iii) only

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 is described by:

The poles of the system are ____.

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

A linear time invariant (LTI) system has a transfer function

The system is placed in unity negative feedback configuration.

For a unit ramp reference, the steady state error is ______.

(rounded off to two decimal places)

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

The system

has a gain margin of 20 dB. The value of K is _____. (rounded off to two decimal places)

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

For the transfer function

, the number of zeros lying in the left half of the s-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

Consider the control system block diagram given in Figure (a). The loop transfer function

does not have any pole on the

-axis. The counterclockwise contour with infinite radius, as shown in Figure (b), encircles two poles of

. Choose the correct statement from the following options for closed loop stability of the system.

Diagram for Instrumentation Engineering question 28

Your answerChoose one option.

The locus of

should encircle the origin twice in the counterclockwise direction

The locus of

should encircle the origin twice in the clockwise direction

The locus of

should encircle the

point twice in the counterclockwise direction

The locus of

should encircle the

point twice in the clockwise direction

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

The figure shows a closed-loop system with a plant

and a lead compensator

. The compensator is designed to place the dominant closed-loop poles at

. From the following options, choose the phase lead that the compensator needs to contribute.

Diagram for Instrumentation Engineering question 47

Your answerChoose one option.

30°

60°

90°

120°

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

The plant in the feedback control system shown in the figure is

, where

and

. The type(s) of controller

that CANNOT stabilize the plant is/are

Diagram for Instrumentation Engineering question 50

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

proportional (P) controller

integral (I) controller

proportional-integral (PI) controller

proportional-derivative (PD) controller

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

A feedback control system is shown in the figure.

Diagram for Instrumentation Engineering question 59

The maximum allowable value of

such that the output

, due to any step disturbance signal

, becomes zero at steady-state, is ________ (in integer).

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

The pressure drop across a control valve is constant. The control valve with inherent characteristic has decreasing sensitivity. If

represents the fraction of maximum stem position of the control valve, then the function

representing the fraction of maximum flow is

Your answerChoose one option.

, where

is constant

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

GATE IN Control Systems PYQs

How to practice Control Systems

Question 20

Question 44

Question 59

Question 60

Question 27

Question 28

Question 47

Question 50

Question 59

Question 12