Integrate a signal over the last x seconds

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I hope you can give me a good track to solve this problem on Simulink
I need to integrate a signal over the last 30 seconds, continously, so that:
where t0 is the actual time and x are the seconds backwards.
V is therefore changing every second.
Thanks a lot!

Accepted Answer

Pat Gipper
Pat Gipper on 21 Dec 2020
Using a combination of an integrator, transport delay and summer where you subtract the value of the integrator output from 30 seconds prior from the current output might satisfy what you need.
  1 Comment
Francesco Galuppo
Francesco Galuppo on 22 Dec 2020
Thanks a lot! The problem is fully solved with a variable time delay, where the second input is the clock output minus the x that I want.
I accepted your answer, thanks again

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