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Is there a nice way to discretely simulate an LTI system using a function block in Simulink?

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I want to simulate an LTI system in Simulink such that with each timestep, I call/use a function block to advance the discrete system one timestep forward. I have tried to do this but I ran into algebraic loop problems when trying to feed the function output (the next state of the system) back into its inputs (the current state of the system) for integration. Can I just throw a delay on equal to my discrete timestep between the output of the function and the input? This will need to be loaded and implemented on hardware eventually if that makes a difference.
Also, the reason I am doing it this way is that I need a bunch of extra logic on top of the simulation which would definitely be easier to implement in code form.

Accepted Answer

Fangjun Jiang
Fangjun Jiang on 11 Apr 2024
Edited: Fangjun Jiang on 11 Apr 2024
Yes. For sys = ss(A,B,C,D,ts), the following equation should be used to advance the simulation step by step. Make sure to use c2d() if your LTI is provided in continuous-time.
x[n+1]=Ax[n]+Bu[n]
y[n]=Cx[n]+Du[n]

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