Q. In root locus analysis, what does the location of poles indicate?
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A.
The system's output.
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B.
The stability of the system.
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C.
The input signal.
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D.
The transfer function.
Solution
The location of poles in root locus analysis indicates the stability of the system; poles in the left half-plane suggest stability.
Correct Answer:
B
— The stability of the system.
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Q. In root locus analysis, what does the root locus plot indicate?
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A.
The stability of the system as gain varies.
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B.
The time response of the system.
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C.
The transfer function of the system.
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D.
The frequency response of the system.
Solution
The root locus plot indicates the stability of the system as the gain varies, showing how the poles move in the complex plane.
Correct Answer:
A
— The stability of the system as gain varies.
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Q. What does a Bode 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 stability of a system.
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D.
The root locus of a system.
Solution
A Bode plot represents the frequency response of a system, showing how the system responds to different frequencies.
Correct Answer:
B
— The frequency response of a system.
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Q. What effect does increasing the gain in a PID controller have?
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A.
It decreases the system's response time.
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B.
It increases the likelihood of instability.
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C.
It reduces the steady-state error.
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D.
It has no effect on the system.
Solution
Increasing the gain in a PID controller can lead to instability, as it may cause the system to overshoot and oscillate.
Correct Answer:
B
— It increases the likelihood of instability.
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Q. What is the main disadvantage of open-loop systems?
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A.
They are more complex than closed-loop systems.
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B.
They cannot correct errors.
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C.
They are always unstable.
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D.
They require more sensors.
Solution
The main disadvantage of open-loop systems is that they cannot correct errors, as they do not use feedback.
Correct Answer:
B
— They cannot correct errors.
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Q. What is the primary characteristic of an open-loop control system?
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A.
It uses feedback to adjust its output.
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B.
It operates without feedback.
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C.
It is always stable.
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D.
It can only control linear systems.
Solution
An open-loop control system operates without feedback, meaning it does not adjust its output based on the actual performance.
Correct Answer:
B
— It operates without feedback.
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Q. What is the transfer function of a first-order system?
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A.
1/(s + 1)
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B.
s/(s + 1)
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C.
1/(s^2 + 1)
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D.
s^2/(s + 1)
Solution
The transfer function of a first-order system is typically represented as 1/(s + 1), indicating a single pole.
Correct Answer:
A
— 1/(s + 1)
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Q. Which controller is commonly used to improve the stability of a system?
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A.
Proportional controller.
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B.
Integral controller.
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C.
Derivative controller.
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D.
PID controller.
Solution
A PID controller, which combines proportional, integral, and derivative actions, is commonly used to improve the stability of a system.
Correct Answer:
D
— PID controller.
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Q. Which of the following is a common application of open-loop control systems?
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A.
Temperature control in a furnace.
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B.
Cruise control in vehicles.
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C.
Washing machines on a fixed cycle.
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D.
Robotic arms with sensors.
Solution
Washing machines often operate on a fixed cycle without feedback, making them a typical example of an open-loop control system.
Correct Answer:
C
— Washing machines on a fixed cycle.
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