MatLab simulink model

Question

I've never asked questions about matlab on this site, and I'm not into matlab, but I have to create model in simulink. Can someone help me how to create simulink model that will describe this equation:

8y(k+2) - 5y(k+1) + y(k) = 2u(k)

y(o)= 0 ; y(1) = 0 ; u(k) = 1(k)

Thanks.

Answer 1

So assuming that k is the time step, u(k) the input and y(k) the output at time step k, your system would be accusal as you want to know y(k+2) at time step k.

So I assume you might mean (k-2) instead, which you can realize with a 1/z^2 block (1/z for (k-1)) of the input plus the gains you have for each y. Your output would be then

y(k) = 2*u(k) - 8*y(k-2) + 5*y(k-1)

and the y(0) and y(1) are the initial conditions for the 1/z blocks