What else is done sometimes in cases like this is we model the system in all it's complexities and then do some simulations in order to study the effects of the variable on the entire system. For this app you might design the control system based on the inductance being zero, but do the simulation with a range of inductance values to study the effect of more significant inductance. For example, you would start by testing the model with zero inductance, then see what happens when you use 1mH, 2mH, 5mH, etc., up to the estimated max.
What kind of feedback system do you intend to use?
I'd like to hear more about this project too if you dont intend to go into production with this.