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In the above system, the input is x (t) and the output is y(t). we consider all the initial conditions are zero because After taking Laplace Transform of the whole system, x(t) becomes X(s), y(t) becomes Y(s).

There are three methods to obtain the Transfer function in Matlab:įirst, we need to declare ‘s’ is a transfer function then type the whole equation in the command window or Matlab editor. Syntax : transfer function variable name = tf(‘transfer function variable name’) In this ‘s’ is the transfer function variable. In this method numerator and denominator, coefficients are used followed by ‘tf’ command. The numerator has only one value which is “10s”, so the coefficient is 10.Īnd in the denominator there are three terms “, so coefficients are 1, 10 and 25.

In this method, we use the command “zpk”, here z stands for zeros,p stands for poles and k stands for gain.Įxample :zpk(,10) Examples & Syntax of Transfer Functions in Matlabīelow are the various examples of transfer function with their syntax: Example #1 Syntax: transfer function variable name = tf( ,)Įxample: h= tf(, 3. The above example illustrated in screen 1. in this transfer function represented by using equation as well as ‘tf’ command is used. Values of h and s are stored in the workspace. In this example, the coefficient method is used. Therefore first we need to find out numerator and denominator separately. The denominator is and coefficients of the denominator are 4, 5 and 7 Here numerator is 23s + 12 and the coefficient of the numerator is 23 and 12. The below image shows the Matlab program for the above example. In this example input is values of pole, zero, and gain, zpk command is used to find out the transfer function.īelow are some of the advantages explained.