Ramp function with steady-state

Hello.

I have a ramp function input that increases linearly from 0 units to 30 units in 10 seconds, and after 10 seconds it stays constant at 30. My questions are: 1) How can I define such function?? 2) How do I find the time domain response to such ramp input?? The transfer function is known.

Thank for any hints/help. AA

Answer 1

[Les Beckham]

Maybe something like this using lsim?

t = 0:0.01:30;
u = 3*t;
u(u > 30) = 30;
sys = tf([1 0], [1 1]); % <<< s / (s+1) -- replace with your transfer function
y = lsim(sys, u, t);
plot(t, u, t, y);
grid on
legend('input', 'response')

[Les Beckham]

Thank you for accepting this answer.

Also, if you are just getting started with Matlab, I would highly recommend that you take a couple of hours to go through the free online tutorial: Matlab Onramp

This will explain a lot of things like "How can I define such function??".

If you have any questions about what I did here (after going through the Onramp training), please let me know.