Movable shelf storage

I have a sister in wheelchair who has a built-in deep pantry with angled front. Was going to get a rolling steel shelf unit with 3 in wheels -5 shelves -18 in x 48in x 70 in that can carry 500 lbs. Was going to mount on 1/4 in x 20 in x 96 in plywood with 2 aluminum tracks to guide shelf with wheels forward and backward.
What commercial robot could i fasten to the bottom shelf to mechanically move this unit forward 4 ft and backward 4 ft.
Remotely and if charging is required , how to keep robot from becoming tangled in charging wires ??

You can check TUG Robots by Aethon. These are Originally designed for hospitals and warehouses,. TUG robots are autonomous mobile robots (AMRs) that carry loads up to several hundred pounds.