Deriving the time-domain response of an equation, from a tf

So I have the code to create a transfer function, from which you can get the graph of the step response:

G = tf([1], [1 0.9 5]);
step(G);

Easy. However I can't find a way to perform an inverse Laplace transform on G, to get an actual equation.

Answer 1

[Benjamin Großmann]

Try ilaplace. Before that you have to convert the tf object to sym object (from here ):

 G = tf([1], [1 0.9 5]);
 [num,den] = tfdata(G);
 syms s
 G_sym = poly2sym(cell2mat(num),s)/poly2sym(cell2mat(den),s)

You have to multiply the input in laplace domain to the transfer function to get the system response to a specific input in time domain:

 Y_lap_sym = G_sym/s; % U(s) = 1/s for the unit step
 y_time_sym = ilaplace(Y_lap_sym);

[AAYUSH MARU]

clc;

clear all;

syms t;

t= 0:0.001:10

G = tf([1], [1 0.9 5]);

[num,den] = tfdata(G);

syms s

G_sym = poly2sym(cell2mat(num),s)/poly2sym(cell2mat(den),s)

Y_four_sym = G_sym/s; % U(s) = 1/s for the unit step

y_time_sym = ifourier(Y_four_sym);

y_n = double(y_time_sym);

subplot(2,1,1)

plot(t,y_time_sym);

how to plot step response here?

[Spencer Ignatieff]

%add anywhere after line 5

step(G)