Well powercycling shouldn't be an issue it's the sending of the infra-red which is slightly more tricky.
One way would be to hack a remote and have two wires going to the power button which can then be controlled by a relay (or if you want to be clever possibly a transistor) connected to the fusion brain.
The remote's infrared LED would have to be ligned up to the TV with nothing likely to block it.
Main issue would be knowing what atet the TV is in.
I guess you could tape a LDR up the the corner of the TV. (bit tacky)