A Kreepy Krauly is a suction side cleaner, not a robot. The Kreepy Krauly hose might get hung up a bit on the solar cover.
A robot has a small diameter low voltage power cord from the in water unit to a properly grounded, bonded and GFCI protected 110v outlet near the pool. The robots plug plugs into 110v, the 110v power is converted to low voltage and sent to the cleaner via the power cord.
In either case, you shouldn't need to run either cleaner as much because the cover will keep out a good amount of the debris - well, except if the Santa Ana winds kick up by you.
If needing to use the Kreepy Krauly, you can always pull the solar cover off during the day while the cleaner is in use - this will help minimize heat loss. Be sure to put some type of cover over the solar cover if it isn't on the pool so the sun doesn't beat on it when off the water. Most solar covers I've had come with a thin plastic tarp like cover.