Looking at the diagrams it has a schematic at the end:
Looks like a 3-phase alternator and the "control unit" might be the inverter that converts rectified DC off that to good sine-like single phase AC. However, there are no RCD on the outputs and I'm guessing the floating supply approach is the means of reducing the risk of shock on contact with a live conductor instead of ADS from a RCD.
Without modifying the generator (not a trivial task) you can't really win:
- Earth the neutral some place and you have no additional protection on the generator's socket outlets, against the regs. Also if you ever use a properly engineered generaotr with RCD it will trip as a result of the link.
- Don't earth the neutral and the house has an IT supply without skilled supervision, also against regs
Also the instructions are clearly for the USA market, in spite of it being sold here with UK outlets:
Use a ground fault circuit interrupter (GFCI) in damp areas and areas containing conductive material such as metal decking.
Connection to your home’s electrical system requires a listed 30A transfer switch installed by a licensed electrician and approved by the local authority having jurisdiction. The connection must isolate the generator from the utility power and must comply with all applicable laws and electrical codes.
Do not use generator for medical and life support uses.
In case of emergency, call 911 immediately.
That also fits, as the USA typically has N-E links in the incoming panel/DB, so the issue of a floating supply is not happening. I don't know if they have any similar blanket RCD rules on socket outlets as we do.