Why the transfer function is represented in S Domain?

[Raj]

Hi all,

I would like to know why the Transfre function of the system is represented in S Domain instead of doing all the math in time domain itself. I studied a course on control systems and i wonder why s- domain is taken instead of other domains like Z- domain and others.
Please refer belwo for an example of transfer function representation

.

Thanks in advance.

 

[Orodruin]

The math in the transformed domain is just algebra. This makes it significantly simpler than doing it in the oroginal domain.

 

[Raj]

The math in the transformed domain is just algebra. This makes it significantly simpler than doing it in the oroginal domain.

Thanks for answering Orodruin. I totally agree with you and i am in same impression about this. I asked this question to find if there is any specific reason other than this.