how to dising step function to be an input to 2nd order system?

Hello, I'm trying to dising a spasific step function, and to add a sine on it to get the data of the responce, and I couldn't find any function that does that.

My step function -

f(t)= { 0 t<0.7

0.5*t 0.7<t<0.77

0.77*0.5 t>0.77 }

and to add any sine to the step function, lets say - sin(8*t)

how can I do it on a 2nd order system and to get the raw data?

Hope my qution is clear, thank you!

[Ameer Hamza]

What is the model of your system?

Answer 1

[Ameer Hamza]

This shows how to simulate the response of a second order for system for a given input signal

sys = tf(1, [1 1 1]);

t = linspace(0,10,1000); % time from 0 to 10
u = [0*t(t<0.7) 0.5*t(0.7<t & t<0.77) 0.77*0.5*ones(size(t(0.77<t)))] + sin(t);

lsim(sys,u,t)

[ido lavi]

thank you, my system is relevant for me. How can I get the raw data of the plot?

My next step is to filter the output of the system.

[Ameer Hamza]

You can get the data from lsim using

[y, t] = lsim(sys,u,t);
plot(t, y);