GATE EE topic:control-systems PYQs & Answers

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topic:control-systems

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Questions 1–10 of 63. Imported answers require independent review unless marked reviewed.

Topic practice 63 questionsPage 1 of 7

The Laplace transform of the step response of a system is given by

The rise time is defined as the time taken for the response to go from 0.1 to 0.9 of its final value. The settling time is defined as the time taken for the response to reach 0.98 of its final value.

For this system, the rise time (

), settling time (

), and time constant (

), all expressed in seconds, are

Your answerChoose one option.

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The asymptotic Bode magnitude plot of a system is shown.

Diagram for Electrical Engineering question 29

Which one of the following options best represents the transfer function of the system?

Your answerChoose one option.

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A system is characterized by the following state equation and output equation (

: input,

: state vector,

: output)

What are the values of

and

for which the poles of the transfer function are at

and

Your answerChoose one option.

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A system is represented in state-space form as follows: (

: input,

: state vector,

: output)

Consider the new state vector

What is the state-space representation of the system in terms of the new state vector

Your answerChoose one option.

;

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Selected data points of the step response of a stable first-order linear time-invariant (LTI) system are given below. The closest value of the time-constant, in sec, of the system is

Time (sec)	0.6	1.6	2.6	10
Output	0.78	1.65	2.18	2.98	3

Your answerChoose one option.

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The Nyquist plot of a strictly stable

having the numerator polynomial as

encircles the critical point

once in the anti-clockwise direction. Which one of the following statements on the closed-loop system shown in figure, is correct?

Diagram for Electrical Engineering question 23

Your answerChoose one option.

The system stability cannot be ascertained.

The system is marginally stable.

The system is stable.

The system is unstable.

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The open loop transfer function of the system shown in the figure, is

. For

, which of the following real axis point(s) is/are on the root locus?

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

−1

−4

−6

−10

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Let

. Then the closed-loop system shown in the figure below, is

Diagram for Electrical Engineering question 41

Your answerChoose one option.

stable for all

unstable for all

stable for all

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Consider the state-space model

where

are the state, input and output, respectively. The matrices

are given below

The sum of the magnitudes of the poles is ____________ (round off to nearest integer).

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A controller

of the form

is to be designed for the plant

as shown in the figure. The value of

that yields a phase margin of

at the gain cross-over frequency of 10 rad/sec is ________________ (round off to one decimal place).

Diagram for Electrical Engineering question 65

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GATE EE topic:control-systems PYQs

How to practice topic:control-systems

Question 13

Question 29

Question 52

Question 53

Question 22

Question 23

Question 29

Question 41

Question 62

Question 65