This is the official Playstation Dualshock 4 controller, and it connects via Bluetooth.
Ranked in these QuestionsQuestion Ranking
Pro Quality build
The controller feels solid with great build quality. It doesn't creak, and they are durable enough to last a few years at least. As a brand-name controller, they have a reputation to uphold and they certainly do that.
Pro Great design
The Playstation 4 controller is comfortable to hold due to its ergonomics. It's comfortable enough to hold for long gaming sessions.
Pro Official support for PlayStation Remote Play app
You can play remotely to your PS4 console with PS4 controller and the Remote Play app.
Pro USB wired mode
The controller can be used as a wired controller, with the provided USB cable and a third party OTG cable. This allows you to play while charging, just in case you forgot to charge your controller.
Pro Windows compatible
Windows is compatible with Dualshock 4 through 3rd party drivers.
Con Lacks native Android compatibility
Playstation controllers need unofficial software to pair with devices, which requires root access. This puts the Dualshock controller out of reach for many users who don't want to root their phone.
Con Controls aren't always spot-on
Most apps need button reassignment through the third party app as default button placement does not always match.