LSIM initial condition code

Let x(0) = 0 and u(t) = 2, for t >= 0. Obtain a plot of y(t) for 0 <= t <= 20 using the lsim command.

My sys function is ready but I cannot set the initial values in the question above. How can I do this?

lsim(sys1,u,t) This is my code.

Answer 1

[Ayush Aniket]

Staring from MATLAB R2024b, one of the ways you can specify the initial conditions for simulating a state-space model in the lsim function by a vector xinit having one entry for each state in sys as shown below:

% Initial condition
xinit = 0;  % Initial state, x(0) = 0

% Simulate the system response
[y, tOut, x] = lsim(sys1, u, t, xinit);

Refer to the following documentation links to read an example illustrating the same and the details about the initial condition input argument:

• https://www.mathworks.com/help/ident/ref/dynamicsystem.lsim.html#mw_c81fdd33-a106-4ac9-bf21-72040506a292
• https://www.mathworks.com/help/ident/ref/dynamicsystem.lsim.html#mw_4d30da91-a663-4f66-bf93-9dc75c7286f1