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GATE Electrical Engineering (EE) Test: Frequency Domain Analysis of Control


MCQ Practice Test & Solutions: Test: Frequency Domain Analysis of Control Systems - 1 (10 Questions)

You can prepare effectively for Electrical Engineering (EE) GATE Electrical Engineering (EE) Mock Test Series 2027 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Frequency Domain Analysis of Control Systems - 1". These 10 questions have been designed by the experts with the latest curriculum of Electrical Engineering (EE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 10

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Test: Frequency Domain Analysis of Control Systems - 1 - Question 1

The Bode diagram approach is the most commonly used method for the analysis and synthesis of

Detailed Solution: Question 1

- The Bode diagram is used in control systems to analyze the frequency response of linear time-invariant systems.
- It is particularly useful for linear feedback control systems because it helps in assessing system stability and performance.
- Bode plots illustrate how the gain and phase of a system vary with frequency, aiding in the design and tuning of controllers.
- Non-linear systems are not typically analyzed using Bode plots due to their complex, non-linear behavior.
- Therefore, the correct answer is D: linear feedback control system only.

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

Nichol's chart is a plot of

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

The initial slope of Bode plot for a transfer function having no poles at origin is

Detailed Solution: Question 3

With no-pole at origin, initial slope will be OdB/decade.
For n-pole at origin, initial slope will be -20 ndB/decade.

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

The gain margin of a control system having the loop transfer function G(s)H(s) = 

Detailed Solution: Question 4


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

Gain crossover frequency is the frequency at which the gain of G(jω) is

Detailed Solution: Question 5

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

For a control system having gain margin of -10 dB, the magnitude of GH(s) for 180° phase shift is

Detailed Solution: Question 6


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

A system with phase margin close to zero or gain margin close to unity is 

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

If the transfer function of a first-order system in  then the time constant of this system will be

Detailed Solution: Question 8


Hence, time constant = T= 5 seconds

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

The polar plot of  

Detailed Solution: Question 9


Given system is of type-1 and order-2, therefore its polar plot will be as shown below.

Hence, the polar plot will neither cross the real axis nor the imaginary axis.

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

The magnitude of frequency response of an under-sampled second order system is 5 at 0 rad/sec and peaks to 10/√3 at 5√2 rad/sec. The transfer function of the system is

Detailed Solution: Question 10

DC gain = 5

100 [4ε2 (1 – ε2)] = 3
400 ε2 – 400 ε4 = 3
400 x2 – 400 x + 3 = 0  
x2 – x + 0.0075 = 0
ξ2 = 0.99244 , ξ2 = 0.00755
ξ = 0.99 , ξ = 0.08689
If resonant peak > 1 then

ωn = 7 rad/s

K = 49 × 5 = 245

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