Test: Time Domain Analysis of Control Systems - 1

# Test: Time Domain Analysis of Control Systems - 1 - Electrical Engineering (EE)

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## 10 Questions MCQ Test GATE Electrical Engineering (EE) 2024 Mock Test Series - Test: Time Domain Analysis of Control Systems - 1

Test: Time Domain Analysis of Control Systems - 1 for Electrical Engineering (EE) 2023 is part of GATE Electrical Engineering (EE) 2024 Mock Test Series preparation. The Test: Time Domain Analysis of Control Systems - 1 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Time Domain Analysis of Control Systems - 1 MCQs are made for Electrical Engineering (EE) 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Time Domain Analysis of Control Systems - 1 below.
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Test: Time Domain Analysis of Control Systems - 1 - Question 1

### The solution of the differential equation

Detailed Solution for Test: Time Domain Analysis of Control Systems - 1 - Question 1

Taking Laplace transform on both sides of the given differential equation, we get (s2 + 2s + 2) Y(s) = 3

Since, ξ < 1, therefore given system is underdamped.

Test: Time Domain Analysis of Control Systems - 1 - Question 2

### A second order system is said to be critically damped if the damping factor (ξ) is

Detailed Solution for Test: Time Domain Analysis of Control Systems - 1 - Question 2

If ξ < 1, system is underdamped.
If ξ > 1, system is overdamped.
If ξ= 1, system is critically damped.

Test: Time Domain Analysis of Control Systems - 1 - Question 3

### The ratio of damped frequency to natural frequency of the given system having damping ratio ξ is

Detailed Solution for Test: Time Domain Analysis of Control Systems - 1 - Question 3

Test: Time Domain Analysis of Control Systems - 1 - Question 4

In time domain specification, the time delay is the time required for the response to reach

Detailed Solution for Test: Time Domain Analysis of Control Systems - 1 - Question 4

Delay time (td) is the time required for the response curve to reach 50% of the final value.

Test: Time Domain Analysis of Control Systems - 1 - Question 5

For the second order prototype system, when the undamped natural frequency increases, the maximum overshoot of the output

Detailed Solution for Test: Time Domain Analysis of Control Systems - 1 - Question 5

Undamped natural frequency = ωn and maximum overshoot,

Since Mp is independent of ωn, therefore with increase in ωn, Mp remains constant

Test: Time Domain Analysis of Control Systems - 1 - Question 6

Damping in a control system is a function of

Detailed Solution for Test: Time Domain Analysis of Control Systems - 1 - Question 6

The general relation between ξ and gain K is

Test: Time Domain Analysis of Control Systems - 1 - Question 7

Damping ratio is defined as the ratio of

Detailed Solution for Test: Time Domain Analysis of Control Systems - 1 - Question 7

Test: Time Domain Analysis of Control Systems - 1 - Question 8

A linear second-order system with the transfer function G(s) =  is initially at rest and is subjected to a step input signal.
The response of the system will exhibit a peak overshoot of

Detailed Solution for Test: Time Domain Analysis of Control Systems - 1 - Question 8

Since ξ > 1, therefore the system is overdamped. Hence, there will be no peak overshoot in the output response of the system.

Test: Time Domain Analysis of Control Systems - 1 - Question 9

The closed-loop transfer function of a system is

Which of the following statements is not true?

Detailed Solution for Test: Time Domain Analysis of Control Systems - 1 - Question 9

It’s characteristic equation is (s + 2) (s + 5) = 0
or, s2 + 7s +10 = 0

Thus, damping ratio ξ > 1.
Hence, option (c) is false.

Test: Time Domain Analysis of Control Systems - 1 - Question 10

The steady state error of a control system can be reduced by

Detailed Solution for Test: Time Domain Analysis of Control Systems - 1 - Question 10

Time constant of the system,

When  is increased means damping is reduced, thus steady state error reduces.
Also, when gain of the system increases, then damping reduces and therefore, steady state error reduces.

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## GATE Electrical Engineering (EE) 2024 Mock Test Series

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