Perform a Forced Restart on the phone. Follow the instructions very carefully, as this is a bit tricky. You may need to repeat this several times.
Force restart iPhone - Apple Support
There are only 2 possible results when you perform a Forced Restart:
1) The phone returns to normal operation and you can start over with the update with a good Wi-Fi connection
Or, if you try the Forced Restart a few times and it does not help......
2) There is a hardware problem with the phone that will need attention at the Apple Store (make an appointment) or take the phone to an authorized Apple Service shop.
You can find a list of authorized service shops in your area using the link just below:
Find Locations