Xbox one s controller bluetooth does not work properly

Yes, absolutely.

In case there's confusion, the Bluetooth part in the controller is only for connecting it to a Windows PC. Bluetooth is not used on the Xbox One S, as the console does not actually have a Bluetooth chip.

The Xbox One S controller still connects to the console with the same wireless protocol as any standard Xbox One controller.

It even works vice versa! You can also connect a regular Xbox One controller to an Xbox One S.

The Elite controller does not have Bluetooth.

Only the new revision of the regular Xbox One controller (released with Xbox One S systems) has a Bluetooth radio built-in.

The redesigned controller has added Bluetooth to make it easier to connect to a W10 PC. That is all. The Xbox One S does not use Bluetooth to connect to the controller.

All Ones are in the same family of console so there isn't a specific Xbox One or One S controller. There was the original One controller that had shiny plastic around the Xbox button on the top that did not have bluetooth. Then they released one that had a matte finish instead of the shiny plastic that does have bluetooth. Both versions will work on all One consoles as well as a Series S/X.

You can't, unfortunately.

The Xbox One S controller's bluetooth function was mainly designed for Windows 10 PC users, as Windows 10 (with the Anniversary update) has the necessary drivers to properly interface with the controller, most likely to coincide with the recent "Play Anywhere"
feature for Xbox One.

With that in mind, Microsoft did not release bluetooth controller drivers for other platforms, so there is no official support of the Xbox One S controller outside of Windows 10.