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Test: Time Domain Analysis of Control Systems - 1 - Electronics and Communication Engineering (ECE) MCQ


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10 Questions MCQ Test - Test: Time Domain Analysis of Control Systems - 1

Test: Time Domain Analysis of Control Systems - 1 for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Test: Time Domain Analysis of Control Systems - 1 questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Time Domain Analysis of Control Systems - 1 MCQs are made for Electronics and Communication Engineering (ECE) 2024 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.

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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

Damping in a control system is a function of

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

The general relation between ξ and gain K is 

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

Damping ratio is defined as the ratio of

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

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 7



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 8

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 8


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 9

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

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

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.

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

The time required for the response curve to reach and stay within the specified 2-5% of final value is referred to as :

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

The correct answer is option 3): Settling time

Concept:

  • The time that is required for the response to reach and stay within the specified range (2% to 5%) of its final value is called the settling time.


 

  • Peak Time. It is the time required for the response to reach the peak value for the first time. It is denoted by tp.
  • The time is defined as "the time required for the response to rise from x% to y% of its final value", with 0% to 100% rise time common for underdamped second order systems, 5% to 95% for critically damped and 10% to 90% for overdamped ones.
  • Peak time (tp) is simply the time required by response to reach its first peak i.e. the peak of first cycle of oscillation, or first overshoot. On differentiating the expression of c(t)
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