Hey there azrael273,
Thanks for reaching out to the Apple Support Communities.
If having issues with connecting your PlayStation DualShock 4 Wireless Controller not connecting or pairing with your iPad as expected, check out the steps below from the following resource that can help with troubleshooting this specific issue: Connect a wireless game controller to your Apple device - Apple Support
If the controller doesn't connect or work as expected
Support for specific buttons and features, such as a controller's audio jack or lights, varies by controller and the app you're using with it.
* Install the latest software updates—both for your Apple device and the controller. If a software (firmware) update is available for the controller, get it from the maker of the controller.
* In Bluetooth settings, select the controller or the info button
(if present) next to its name, then select Forget This Device. Connect the controller again.
* Reduce the number of Bluetooth devices connected to your Apple device. This can also help with connection issues related to wireless interference. Apple TV 4K and Apple TV HD support up to four Bluetooth game controllers at the same time, or one controller when Apple TV is also using a Bluetooth audio accessory. The limit for other Apple devices varies based on your specific setup and wireless environment.
* To charge your controller, use the charging solution included with your controller or recommended by the controller manufacturer.
If still running into issues after going through the steps above, do you experience any issues with connecting your controller to another Apple device, or do you experience any issues with connecting other Bluetooth devices to your iPad? This information may be able to help us determine the next best steps going forward.
Take care!