Close loop current sensor

[Alex93]

I assembled a circuit  close loop current sensor based on the Hall effect (Shematic). Results  of my measurements on pulsed current  in attachment (Current sensor _ MY). There is a problem with fluctuations after reaching a constant level.
For comparison, I gave similar measurements for  original current sensor (Current sensor _ ORIGINAL).
Please tell me how to fix this?

https://dropmefiles.com/cR4b9

[moffy]

Sorry, but I have looked at your files and the schematic without the values on it, I know you provided a BOM, is hard to read and follow. It is also a bit difficult to follow as you have, I think, a hall sensor but it doesn't shown what it is magnetically connected to. The inductor or transformer which appears to be where the current is injected also appears as a power source? It is confusing.

[Terry Bites]

Looks like overshoot. I'd guess your mystery amplifier needs better compensation.
Schematic capture CAD is free, use it!