I have looked up the SRU8015 and I can't tell for sure if it has the PS2 codes built into it or not. The manual says it does support game systems that use IR remotes, and I have read that it can control the Xbox so I would assume that it will have the PS2 codes built in as well. If it doesn't you should still be able to buy a PS2 remote and learn the commands manually.
I have to say that for the amount you are looking to spend I would recommend a Harmony remote instead. I think that they offer a lot more flexibility and would be easier to program. To each their own though:).
Hope that helps.