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Question 2.9.3: Ramp Response with the lsim Function Plot the forced respons...

Ramp Response with the lsim Function

Plot the forced response of

ẍ + 3ẋ + 5x = 10f(t)

to a ramp input, u(t) = 1.5t, over the time interval 0 ≤ t ≤ 2.

We choose to generate the plot with 300 points. The MATLAB session is the following.

≫t = linspace(0,2,300);
≫f = 1.5*t;
≫sys = tf(10, [1, 3, 5]);
≫[y, t] = lsim(sys,f,t);
≫plot(t,y,t,f),xlabel('t'),ylabel('x(t) and f(t)'),...
gtext('x(t)'),gtext('y(t)')

The plot is shown in Figure 2.9.7.

Annotation 2022-10-16 043410

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