You would need a pure sign wave inverter for any electronic equipment to work at its best, the playstation3 will not work on any other inverter. this only outputs 110v I that it the TV is set at 110v.
Tom from www.automotivetechnical.co.uk

I am assuming that the inverter works with other devices. This being the case, i am thinking that the television start up current is drawing too much power too quick for the inverter to handle and this is what is shutting down the inverter.