överföringsfunktioner

An överföringsfunktion, often translated as transfer function, is a mathematical model used in system analysis, particularly in fields like control theory, signal processing, and electrical engineering. It describes the relationship between the output of a linear time-invariant (LTI) system and its input. Specifically, the transfer function is defined as the ratio of the Laplace transform of the output signal to the Laplace transform of the input signal, assuming zero initial conditions.

In simpler terms, the transfer function encapsulates how a system modifies or transforms an input signal into an output signal. It is typically represented in the complex frequency domain (s-domain) as a function of the variable 's', where 's' is the complex frequency. The poles and zeros of the transfer function are crucial characteristics that determine the system's stability, frequency response, and transient behavior. Analyzing these poles and zeros allows engineers to predict and design system performance. The concept of the transfer function is fundamental for understanding system dynamics and designing controllers to achieve desired system responses.