transfer polynomial function into time domain in matlab

To transfer a polynomial function into the time domain in MATLAB, you first need to represent the polynomial as a symbolic expression using the syms function. Then, you can use the ilaplace function to perform an inverse Laplace transform on the symbolic expression. Here's a step-by-step guide:

main.m
syms s t     % Define symbolic variables s and t

% Define the transfer function (polynomial in s-domain)
H_s = (s^2 + 2*s + 1)/(s^3 + 4*s^2 + 5*s + 2);

% Perform inverse Laplace transform to get the time domain expression
h_t = ilaplace(H_s, s, t);
h_t = simplify(h_t);    % Optionally simplify the result

disp('The time domain expression is:');
disp(h_t);    % Display the result
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Replace the H_s equation with your own polynomial equation in the s-domain. After running this MATLAB code, you will get the equivalent time-domain expression of the polynomial function.

Remember to have the MATLAB Symbolic Math Toolbox installed to use symbolic variables and functions like ilaplace.

Make sure to adjust the code according to your specific polynomial function in the s-domain.