XPS 15 9550 - randomly won't turn on without AC

Hello,

I've been having an issue with my XPS 15 9550 for some time and I'd like to solve this once and for all : sometimes the laptop won't turn on when on battery, even if it's fully loaded, no matter how long I press the power button. I have to plug in the adapter and after pressing the power button I can disconnect it and the laptop will keep on booting normally, on battery. All my drivers are up to date, the battery is 1 year old and passes all health checks.

Has anybody else had this issue and is there any way to solve it ?

Thanks