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How to find the transfer function of a system

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In control engineering and control theory the  transfer function  of a system is a very common concept. A transfer function is determined using  Laplace transform  and plays a vital role in the development of the automatic control systems theory. By the end of this tutorial, the reader should know: how to  find the transfer function  of a SISO system starting from the ordinary differential equation how to  simulate a transfer function  in an  Xcos  block diagram how to  simulated a transfer function  using  Scilab  dedicated functions A  system  can be defined as a mathematical relationship between the input, output and the states of a system. In control theory, a system is represented a a rectangle with an input and output. where: u(t)  – input y(t)  – output Both input and output are variable in time. A system with only one input and output is called  SISO (...