I want to simulate with various input.

sys = 1(1+s)

input = 1/s - exp(-2*s)/s

So, how can I get lsim output "sys*input" ??

I must make digital signal of input??

Answer 1

[Paul]

As a general approach, you can compute the impulse response of the product of the transfer function and the input.

H = tf(1,[1 1]);  % assuming typo in the original question.
U1 = tf(1,[1 0]);
U2 = tf(1,[1 0],'InputDelay',2);

t = 0:.001:10;
y = impulse(H*(U1 - U2),t);

figure;plot(t,y),grid

In your particular case, the output is the difference between the step response and the step response delayed by t=2:

% assumes that any(t==2) is true
y1 = step(H,t);
y2 = 0*y1;
ii = find(t>=2);
y2(t>=2) = y1(1:length(ii));

figure;plot(t,y,t,y1-y2,'x'),grid

[Saka Toshi]

Thank you!!

You make me more advanced!! :)