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lazyaditya

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If a closed Loop transfer function is given to me how should i find D.C gain ?

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- Thread starter lazyaditya
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In summary, a control system transfer function is a mathematical representation of the relationship between the input and output of a control system, describing how the output changes in response to input changes over time. The time constant form of a transfer function is a representation of the function in terms of its time constant, which is calculated by finding the reciprocal of the pole in the transfer function. The time constant is an important parameter as it indicates the speed and stability of a control system, with shorter time constants leading to more unstable systems and longer time constants promoting stability. It is important to choose an appropriate time constant for a control system to ensure stability.

- #1

lazyaditya

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- 7

If a closed Loop transfer function is given to me how should i find D.C gain ?

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lazyaditya said:Why is time constant form of transfer function in control system better than pole zero form ?

I don't know what you mean. Gie an example of a "time constant form of transfer function"..

If a closed Loop transfer function is given to me how should i find D.C gain ?

Set s = 0.

A control system transfer function is a mathematical representation of the relationship between the input and output of a control system. It describes how the output of a system changes in response to changes in the input over time.

The time constant form of a transfer function is a representation of the transfer function in terms of its time constant, which is the amount of time it takes for the output of a system to reach 63.2% of its final value in response to a step change in the input.

The time constant can be calculated by finding the reciprocal of the pole in the transfer function. In the time constant form, the transfer function is expressed as a ratio of the time constant to the sum of the time constant and the time delay.

The time constant is an important parameter in control systems as it indicates the speed at which a system responds to changes in the input. A smaller time constant means a faster response, while a larger time constant means a slower response.

The time constant is closely related to the stability of a control system. A shorter time constant can lead to a more unstable system, while a longer time constant can make a system more stable. It is important to choose an appropriate time constant to ensure the stability of a control system.

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