fractional order transt function in matlab

To create a fractional order transfer function in MATLAB, you need to use the Control System Toolbox. The toolbox provides the frd function to create a fractional-order transfer function model.

Here is an example of how to create a fractional order transfer function in MATLAB:

main.m
% Import the Control System Toolbox
import control.*;

% Define the numerator and denominator coefficients of the transfer function
num = [1, 0.5]; % Numerator coefficients
den = [1, 0.2, 0.1]; % Denominator coefficients

% Define the fractional order, for example, 0.5
alpha = 0.5;

% Create the fractional order transfer function model
sys = frd(num, den, alpha);

% Plot the frequency response
bode(sys);
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In this example, we define the numerator and denominator coefficients of the transfer function in the num and den variables, respectively. Then, we specify the fractional order using the alpha variable. Finally, we create the fractional order transfer function model using the frd function.

You can customize the numerator and denominator coefficients, as well as the fractional order, to match the requirements of your specific system.

Note that the Control System Toolbox is required to use the frd function.