Q. In stability analysis, what does a Nyquist plot represent?
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A.
The time response of a system.
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B.
The frequency response of a system.
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C.
The root locus of a system.
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D.
The transfer function of a system.
Solution
A Nyquist plot is used to analyze the frequency response of a system and assess its stability.
Correct Answer:
B
— The frequency response of a system.
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Q. What does a transfer function represent in control systems?
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A.
The relationship between input and output in the time domain.
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B.
The relationship between input and output in the frequency domain.
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C.
The physical layout of the system.
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D.
The stability of the system.
Solution
A transfer function represents the relationship between input and output in the frequency domain, providing insights into system behavior.
Correct Answer:
B
— The relationship between input and output in the frequency domain.
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Q. What does the root locus technique help to determine?
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A.
The frequency response of a system.
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B.
The stability of a system as gain varies.
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C.
The time response of a system.
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D.
The transfer function of a system.
Solution
Root locus is a graphical method used to analyze how the roots of a system change with varying gain, indicating stability.
Correct Answer:
B
— The stability of a system as gain varies.
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Q. What is the significance of the gain margin in control systems?
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A.
It indicates the speed of the system.
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B.
It measures how much gain can be increased before instability occurs.
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C.
It determines the steady-state error.
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D.
It shows the phase shift of the system.
Solution
Gain margin quantifies how much gain can be increased before the system becomes unstable, providing insight into stability.
Correct Answer:
B
— It measures how much gain can be increased before instability occurs.
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Q. Which of the following is true about a second-order system with a damping ratio less than 1?
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A.
It is critically damped.
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B.
It is underdamped and exhibits oscillatory behavior.
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C.
It is overdamped and returns to equilibrium slowly.
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D.
It is stable and does not oscillate.
Solution
A second-order system with a damping ratio less than 1 is underdamped, leading to oscillations in its response.
Correct Answer:
B
— It is underdamped and exhibits oscillatory behavior.
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