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The closed loop transfer function of a unity negative feedback system is 100/(s2+8s+100). Its open loop transfer function is:
- a)100/s+8
- b)1/s2+8s
- c)100/s2-8s
- d)100/s2+8s
Correct answer is option 'D'. Can you explain this answer?
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The closed loop transfer function of a unity negative feedback system ...
Answer: d
Explanation: For unity feedback system the closed loop transfer function is: G/1+GH and the open loop transfer function can be calculated by balancing the value of G.
Explanation: For unity feedback system the closed loop transfer function is: G/1+GH and the open loop transfer function can be calculated by balancing the value of G.
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The closed loop transfer function of a unity negative feedback system ...
Unity negative feedback system and closed loop transfer function
A unity negative feedback system is a control system in which the output of the system is fed back to the input with a gain of -1. This type of feedback is used to stabilize the system and reduce any errors or disturbances in the output.
The closed loop transfer function of a unity negative feedback system is the transfer function of the system when the feedback loop is closed. It represents the relationship between the input and output of the system when the feedback is operating.
Open loop transfer function
The open loop transfer function of a system is the transfer function of the system when the feedback loop is open. It represents the relationship between the input and output of the system without any feedback.
Calculation of open loop transfer function
The given closed loop transfer function of the unity negative feedback system is 100/(s^2+8s+100). To find the open loop transfer function, we need to remove the negative feedback from the system. This can be done by setting the gain of the feedback loop to zero.
The transfer function of the feedback loop is -1, so setting the gain to zero means that the feedback loop is open and the transfer function of the system is simply the product of the plant transfer function and the input.
The plant transfer function is the transfer function of the system without the feedback loop, which is given by 100/(s^2+8s+100).
Therefore, the open loop transfer function is:
100/(s^2+8s+100) x 1 = 100/(s^2+8s+100)
This matches with option D, which is the correct answer.
A unity negative feedback system is a control system in which the output of the system is fed back to the input with a gain of -1. This type of feedback is used to stabilize the system and reduce any errors or disturbances in the output.
The closed loop transfer function of a unity negative feedback system is the transfer function of the system when the feedback loop is closed. It represents the relationship between the input and output of the system when the feedback is operating.
Open loop transfer function
The open loop transfer function of a system is the transfer function of the system when the feedback loop is open. It represents the relationship between the input and output of the system without any feedback.
Calculation of open loop transfer function
The given closed loop transfer function of the unity negative feedback system is 100/(s^2+8s+100). To find the open loop transfer function, we need to remove the negative feedback from the system. This can be done by setting the gain of the feedback loop to zero.
The transfer function of the feedback loop is -1, so setting the gain to zero means that the feedback loop is open and the transfer function of the system is simply the product of the plant transfer function and the input.
The plant transfer function is the transfer function of the system without the feedback loop, which is given by 100/(s^2+8s+100).
Therefore, the open loop transfer function is:
100/(s^2+8s+100) x 1 = 100/(s^2+8s+100)
This matches with option D, which is the correct answer.
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The closed loop transfer function of a unity negative feedback system ...
OLTF =( CLTF)/(1-CLTF)
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The closed loop transfer function of a unity negative feedback system is 100/(s2+8s+100). Its open loop transfer function is:a)100/s+8b)1/s2+8sc)100/s2-8sd)100/s2+8sCorrect answer is option 'D'. Can you explain this answer?
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