What is a Transfer Function?

What is a  Transfer Function?

DC Gain Definition

DC gain is the ratio of the steady-state output to the steady-state input of a control system when given a step input.

Transfer Function

A transfer function represents the relationship between a control system’s input and output using the Laplace transform.

Final Value Theorem

The final value theorem helps find the DC gain by evaluating the transfer function at zero for continuous systems.

Continuous vs. Discrete Systems

DC gain calculations differ between continuous (using G(s)) and discrete systems (using G(z)), but the principles remain similar.

Practical Examples

Examples of first-order systems illustrate how to apply these concepts to find the DC gain in real scenarios.