Why the transfer function is equal to the output in this case

1. What is transfer function equal to?
2. What is the output of a transfer function?
3. Is transfer function equal to gain?
4. Why transfer function is independent of input and output?

What is transfer function equal to?

The transfer function is the ratio of the Laplace transform of the output to that of the input, both taken with zero initial conditions.

What is the output of a transfer function?

To find the output, we multiply the transfer function by the input, and solve. We can find the inverse Laplace Transform by performing a partial fraction expansion to get the solution into forms that are in the table.

Is transfer function equal to gain?

Transfer function gain=Yssr(t), where Yss represents output y(t) at steady-state and r(t) is the input. The transfer function gain is the magnitude of the transfer function, putting s=0. Otherwise, it is also called the DC gain of the system, as s=0 when the input is constant DC.

Why transfer function is independent of input and output?

The transfer function is independent of the input and output. Because the transfer function of the system depends on the governing dynamic equation of the system only.