Induction cooker doesn't work on grid AC frequency (50-60Hz), it converts grid AC to DC then converts it to high frequency (24 kHz), so possibly induction cooker can be modified to run straight from DC power
I ass-u-me that's how the induction stoves in modern RVs/caravans work, rather than wasting house battery inverting DC only to convert it to something else.
EDIT: well, I guess that's why "assume" is hyphenated. According to the company that makes stoves for Winnebago, from their manual: "1. Plug into standard 110 outlet."