Q. In a Bode plot, what does the phase margin indicate?
-
A.
The gain at which the system becomes unstable.
-
B.
The frequency at which the system has maximum gain.
-
C.
The amount of additional gain that can be added before instability occurs.
-
D.
The overall gain of the system.
Solution
The phase margin is a measure of how much additional gain can be applied before the system becomes unstable.
Correct Answer:
C
— The amount of additional gain that can be added before instability occurs.
Learn More →
Q. In root locus analysis, what does the root locus plot represent?
-
A.
The path of the system poles as gain varies.
-
B.
The frequency response of the system.
-
C.
The time response of the system.
-
D.
The steady-state error of the system.
Solution
The root locus plot shows how the poles of the system move in the s-plane as the gain is varied, indicating stability.
Correct Answer:
A
— The path of the system poles as gain varies.
Learn More →
Q. In stability analysis, what does a Nyquist plot help determine?
-
A.
The time response of the system.
-
B.
The gain margin and phase margin.
-
C.
The steady-state error.
-
D.
The transfer function of the system.
Solution
A Nyquist plot is used to assess the stability of a system by determining the gain margin and phase margin.
Correct Answer:
B
— The gain margin and phase margin.
Learn More →
Q. What does a Bode plot consist of?
-
A.
Magnitude and phase plots.
-
B.
Only magnitude plot.
-
C.
Only phase plot.
-
D.
Time response plot.
Solution
A Bode plot consists of both magnitude and phase plots, providing insight into the frequency response of the system.
Correct Answer:
A
— Magnitude and phase plots.
Learn More →
Q. What is the primary purpose of a derivative controller in a PID controller?
-
A.
To eliminate steady-state error.
-
B.
To predict future errors based on the rate of change.
-
C.
To provide a constant output.
-
D.
To increase the system's gain.
Solution
The derivative controller predicts future errors based on the rate of change, helping to improve system stability and response.
Correct Answer:
B
— To predict future errors based on the rate of change.
Learn More →
Q. What is the purpose of the integral action in a PID controller?
-
A.
To eliminate steady-state error.
-
B.
To increase the system's response time.
-
C.
To reduce overshoot.
-
D.
To stabilize the system.
Solution
The integral action in a PID controller accumulates the error over time, helping to eliminate steady-state error.
Correct Answer:
A
— To eliminate steady-state error.
Learn More →
Q. What is the significance of the Nyquist criterion in stability analysis?
-
A.
It determines the time response of the system.
-
B.
It provides a graphical method to assess stability based on the open-loop frequency response.
-
C.
It calculates the steady-state error.
-
D.
It is used to design PID controllers.
Solution
The Nyquist criterion offers a graphical method to evaluate the stability of a system based on its open-loop frequency response.
Correct Answer:
B
— It provides a graphical method to assess stability based on the open-loop frequency response.
Learn More →
Q. Which of the following indicates an underdamped system in a second-order transfer function?
-
A.
Damping ratio less than 0.
-
B.
Damping ratio equal to 0.
-
C.
Damping ratio between 0 and 1.
-
D.
Damping ratio greater than 1.
Solution
An underdamped system has a damping ratio between 0 and 1, resulting in oscillatory behavior.
Correct Answer:
C
— Damping ratio between 0 and 1.
Learn More →
Q. Which of the following is a characteristic of a stable system?
-
A.
All poles are in the right half of the s-plane.
-
B.
All poles are in the left half of the s-plane.
-
C.
Poles are on the imaginary axis.
-
D.
Poles can be anywhere in the s-plane.
Solution
A stable system has all its poles located in the left half of the s-plane, ensuring that the system response decays over time.
Correct Answer:
B
— All poles are in the left half of the s-plane.
Learn More →
Showing 1 to 9 of 9 (1 Pages)
