WiFi has been considered as an offload mechanism since the introduction of LTE in 3GPP Rel-8. However, the initial inter-working between the two Radio Access Technologies (RATs) was very loose, with WiFi connected to the Evolved Packet Core (EPC) with the help of add-on functions (such as ANDSF hidden deep in the network) making suggestions for switching flows to WiFi. As a result the UE was only suggested to change RAT to WiFi after certain conditions were met. As we are making progress with the 3GPP standardization, the integration of the carrier-WiFi to the cellular RATs is more and more tight with Rel-13 specifying a RAN-level inter-working within LTE-Advanced Pro.
The following mechanisms have been standardized within Rel-13 under the LTE-WiFi RAN-level integration framework:
As we can see from the above, Rel-13 has brought different options for very tight network controlled LTE-WiFi integration. This will enable different levels of integration between WiFi and LTE; and depending on the required WiFi network upgrade and/or UE side upgrade:
[1] 3GPP TS 36.300
¹DC has been addressed in these posts: https://www.grandmetric.com/blog/2016/04/07/lte-advanced-pro-what-is-this/ and https://www.grandmetric.com/blog/2015/12/15/lte-evolution-lte-lte-advanced-lte-advanced-pro/