Transfer Function Of A System is explained in the following way
Explanation:
1.To find the transfer function, first take the Laplace Transform of the differential equation (with zero initial conditions). Recall that differentiation in the time domain is equivalent to multiplication by "s" in the Laplace domain. The transfer function is then the ratio of output to input and is often called H(s)
2.The Transfer function of a system is the relationship of the system's output to its input, represented in the complex Laplace domain.
3.A transfer function is a convenient way to represent a linear, time-invariant system in terms of its input-output relationship. ... The key advantage of transfer functions is that they allow engineers to use simple algebraic equations instead of complex differential equations for analyzing and designing systems.
4.The properties of transfer function are given below: The ratio of Laplace transform of output to Laplace transform of input assuming all initial conditions to be zero. ... The transfer function of a system does not depend on the inputs to the system. The system poles and zeros can be determined from its transfer function.
