Robots suffer phisical trauma too all atributes (not only strengh), but can't suffer doubt and other psychological conditions.
I whould say it depends on how the given power works exactly? Does it work on senses, create some visible to all illusions or what other way?
For the game balance sake i whould try to keep Robots in line, ton too make them too powerfull. So after some experiences/training i whould let probably most powers to work on sentient machines somehow.