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In a second order feedback control system natural frequency and damping
- a)Can be designed by changing the gain of the individual system
- b)Cannot be designed by changing the gain of the individual system
- c)Are independent on the type of input excitation
- d)None of the mentioned
Correct answer is option 'A'. Can you explain this answer?
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In a second order feedback control system natural frequency and dampin...
Answer: a
Explanation: Natural frequency and damping can be designed by changing the gain of the individual system.
Explanation: Natural frequency and damping can be designed by changing the gain of the individual system.
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In a second order feedback control system natural frequency and dampin...
Natural frequency and damping in a second-order feedback control system can be designed by changing the gain of the individual system.
Explanation:
- Natural frequency (ωn) is a measure of how quickly the system oscillates in response to a disturbance. It is directly related to the system's poles and can be adjusted by changing the gain of the individual system. By increasing the gain, the poles of the system move towards the origin in the s-plane, resulting in a higher natural frequency. Conversely, decreasing the gain moves the poles away from the origin, leading to a lower natural frequency. Therefore, the gain of the individual system directly affects the natural frequency of the second-order system.
- Damping (ζ) is a measure of how quickly the oscillations of the system decay over time. It is determined by the location of the poles in the s-plane. By adjusting the gain of the individual system, the poles can be moved to different locations, which in turn affects the damping ratio. Increasing the gain can lead to more damping, resulting in a higher damping ratio. On the other hand, decreasing the gain can reduce damping, leading to a lower damping ratio. Hence, the gain of the individual system has a direct impact on the damping of the second-order system.
- It is important to note that changing the gain of the individual system affects both the natural frequency and damping simultaneously. Increasing the gain will raise the natural frequency but also increase the damping ratio, while decreasing the gain will have the opposite effect.
- The type of input excitation does not have a direct influence on the natural frequency and damping of the second-order system. These parameters are determined by the system's transfer function, which is derived from the characteristics of the individual system and the gain.
Therefore, the correct answer is option 'A' - Natural frequency and damping can be designed by changing the gain of the individual system.
Explanation:
- Natural frequency (ωn) is a measure of how quickly the system oscillates in response to a disturbance. It is directly related to the system's poles and can be adjusted by changing the gain of the individual system. By increasing the gain, the poles of the system move towards the origin in the s-plane, resulting in a higher natural frequency. Conversely, decreasing the gain moves the poles away from the origin, leading to a lower natural frequency. Therefore, the gain of the individual system directly affects the natural frequency of the second-order system.
- Damping (ζ) is a measure of how quickly the oscillations of the system decay over time. It is determined by the location of the poles in the s-plane. By adjusting the gain of the individual system, the poles can be moved to different locations, which in turn affects the damping ratio. Increasing the gain can lead to more damping, resulting in a higher damping ratio. On the other hand, decreasing the gain can reduce damping, leading to a lower damping ratio. Hence, the gain of the individual system has a direct impact on the damping of the second-order system.
- It is important to note that changing the gain of the individual system affects both the natural frequency and damping simultaneously. Increasing the gain will raise the natural frequency but also increase the damping ratio, while decreasing the gain will have the opposite effect.
- The type of input excitation does not have a direct influence on the natural frequency and damping of the second-order system. These parameters are determined by the system's transfer function, which is derived from the characteristics of the individual system and the gain.
Therefore, the correct answer is option 'A' - Natural frequency and damping can be designed by changing the gain of the individual system.
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In a second order feedback control system natural frequency and dampinga)Can be designed by changing the gain of the individual systemb)Cannot be designed by changing the gain of the individual systemc)Are independent on the type of input excitationd)None of the mentionedCorrect answer is option 'A'. Can you explain this answer?
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