The original PS4 doesn't support 5 GHz Wi-Fi, so if Smart Wi-Fi is enabled on your Super Hub, this is quite likely causing it issues. You need to disable this and run separate 2.4 GHz and 5 GHz bands and then connect the PS4 to the 2.4 band.
If you have a Slim or Pro, then I believe Sony included a newer wireless adapter in these models that does support 5 GHz.
SH2 modem mode | AC86U router | AC68U node