That surround sound system doesn't give you a lot of options for connecting equipment, but let's give this a shot.
1. Connect the HDMI output on the Philips to one of the HDMI inputs on the TV
2. Connect the HDMI output on the PS3 to one of the other HDMI inputs on the TV
At this point, you can watch DVDs from the Philips on the TV while listening to the DVDs on your surround sound system. You can also watch and listen to material from the PS3 on the TV, but you can't listen to it through the surround sound system. So, we want to hook up some audio from the TV (and/or PS3) to the Philips. You have two options for connections: analog (left/right RCA connectors) and digital. The digital connection is not as easy, but it will allow for better sound. The digital audio outputs on both the TV and PS3 are optical outputs, but the digital audio input on the Philips is a coax input. You can get an adapter to convert a digital audio signal to a digital coax signal (like this one
here). Once you get the audio connected from the TV to the Philips, then you'll be able to listen to the TV and to the PS3 through your Philips.