It's the Playstation emblem on the middle of the Dual Shock 3 controller
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Turn on your PS3 by pressing the "power" button on the console itself. Then connect your controller via the charging cable. Finally, when on the XMB menu, press the PS button on your controller. Happy Gaming!
To connect any controller to a PS3 first plug in a USB cable to the controller. Connect this cable to the PS3 you want to connect the controller to. Press the PS button and the controller will connect.
To set up a sixaxis controller on your PS3 for the first time, plug it in with the charge cable. Then press the PS button and wait until the controller connects. Your controller will now be set up to work with your PS3.
If you are talking about the PS button, then all you have to do is repress the button again. If you pressed the button quickly, then it brought you to the menu that is show when you first start up your ps3. If you pressed down the button for a couple of seconds, then this brought you to a menu that should say quit game, controller settings, turn off the system, turn off the controller. If you don't want to perform any of these options, and just want to continue with you game, then all you have to do is repress the PS button. This will bring you right back to your game.
Playstation 1 controller?