Re: battlefield 4 online

Please hightlight the Battlefield 4 tile in your PlayStation's menu bar and press the Options button on your controller. Make sure the game is not running anymore, otherwise there would be an option to "Close Game". Then launch the game again and it should download the update automatically. If the update has been downloaded in the background while the game was running, a full restart of the game will be necessary as well.

Hope that can help.