Question 1
Based on the above data, answer the given subquestions.
The error for a steady state speed V (s) = 100 km/hr is _____
Control Engineering Quiz 2: 16 March 2025 (January 2025 term)
The IIT Madras BS Control Engineering (Control Engineering) Quiz 2 paper sat on 16 Mar 2025, in the January 2025 term: 15 questions for 30 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
- 15
- 30
- 120 min
- 9
- 4
- 2
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Correct answer: 2
Question 2
Based on the above data, answer the given subquestions.
In the open loop case the magnitude of the reference for a steady state speed on 100 km/hr is _____
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Correct answer: 2
Question 3
Based on the above data, answer the given subquestions.
The time taken for the system to reach 90% of its steady state value in the closed loop setting is _____
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Correct answer: 2.25 (accepted within ±0.05)
Question 4
Based on the above data, answer the given subquestions.
The upslope that will cause the vehicle to come to a standstill if it was running at a steady state speed of 100 km/hr on level road, with reference as computed in the previous question for the closed loop case is _____. Hint: The steady state speed of zero would mean a input of zero to plant.
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Correct answer: 51
Question 5
The pole-zero plot of an open-loop system is shown below in the figure, the shape of the root locus will be
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Correct answer
Question 6
Consider the open-loop system with an unity feedback given by
How many branches of the root locus terminate to infinity ___________?
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Correct answer: 1
Question 7
Consider the open-loop system with an unity feedback given by
Which of points on the real line lies on the root locus?
−4
−1
−7
−15
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Correct answers
−1
−7
Question 8
Consider the open-loop system with an unity feedback given by
Does the root locus intersect the imaginary axis
Yes
No
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Correct answer
No
Question 9
The open-loop transfer function and closed-loop transfer function of a system are stable. Then, which of the following statement is true?
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Correct answer
Question 10
Given a stable unity feedback system whose open-loop transfer function has the Bode magnitude plot shown below. (Note: magnitude at 0.01 rad/sec is 120dB)
Based on the above data, answer the given subquestions.
The type of the system is ___________ .
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Correct answer: 2 (accepted within ±0.01)
Question 11
Given a stable unity feedback system whose open-loop transfer function has the Bode magnitude plot shown below. (Note: magnitude at 0.01 rad/sec is 120dB)
Based on the above data, answer the given subquestions.
The acceleration error constant Ka is___________ .
(Hint: The initial slope intersects the frequency axis at 9.5 rad/s)
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Correct answer: 91 (accepted within ±5)
Question 12
Consider the system shown in the figure below with zero disturbance and moment of intertia J = 10, friction coefficient b = 5.
Based on the above data, answer the given subquestions.
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Correct answer: 1
Question 13
Consider the system shown in the figure below with zero disturbance and moment of intertia J = 10, friction coefficient b = 5.
Based on the above data, answer the given subquestions.
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Correct answers
Question 14
Consider the system shown in the figure below with zero disturbance and moment of intertia J = 10, friction coefficient b = 5.
Based on the above data, answer the given subquestions.
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Correct answer: 50
Question 15
Consider the system shown in the figure below with zero disturbance and moment of intertia J = 10, friction coefficient b = 5.
Based on the above data, answer the given subquestions.
With the controller obtained in previous question, the closed-loop system is ___________ .
stable
unstable
marginally stable
cannot determine stability
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Correct answer
stable