How to plot a transfer function with variable input?

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Consider the dynamics described below for the temperature measuring instrument. Get the
(y (t)) as a function of time, if the input (x (t)) varies subsequently, following the
following pattern: 30 Celsius → 35 Celsius → 45 Celsius → 30 Celsius. Note that subsequent entry only occurs after the instrument has presented its final indication.
Ft = 0,754 /(4s + 1)
I really need help.
  2 Comments
Walter Roberson
Walter Roberson on 31 Mar 2019
Is it correct that on subsequent time steps, the input x is
30, 35, 45, 30, 30, 35, 45, 30, 30, 35, 45, 30, ...
? Or is it
30, 35, 45, 30, 35, 45, 30, 35, 45, 30, ...
?
Are we given delta t ?

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Answers (1)

Star Strider
Star Strider on 31 Mar 2019
Edited: Star Strider on 31 Mar 2019
I am not certain exactly what you are asking, or what your system is doing. You need to use the tf (link) function to produce a system object from your transfer function, and the lsim (link) function to do the simulation.
EDIT — (31 Mar 2019 at 02:46)
s = tf('s');
Ft = 0.754 / (4*s + 1);
u = repmat([30, 35, 45], 1, 10);
t = 0:numel(u)-1;
y = lsim(Ft, u, t);
figure
plot(t, u, '--')
hold on
plot(t, y, '-')
hold off
xlabel('Time')
ylabel('Amplitude')
legend('u(t)', 'y(t)', 'Location','SE')

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