Hi
You should try the implementation below:
The IC block with initial condition [0] will make sure your model runs with an initial condition. However, the Add block behind it allows you to give an offset to this initial condition with any value you want. By using the unit delay block with input 0, you remove this offset after the first simulation sample.
The only problem I see is that I think you are using a continuous integrator block, my suggestion was only tested in a discrete time system.
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