Not everyone in this thread is experiencing the same type of problem. For me, I do not believe there is anything wrong with my router -- since it worked perfectly minutes before I upgraded to iOS 9 on 2 devices -- and depending on what I do, I can connect to wifi.
1. If the SSID is hidden, my iPhone and iPad cannot find it. It is not a question of me not knowing how to set it up -- and I have done everything and every reset option short of a complete wipe-out of my device and full reinstall.
2. If the SSID is visible, my iPhone and iPad have no problem. As soon as I hide it again, my connection immediately drops.
3. If I tether my iPad to my iPhone (on cellular) and add the hidden network, the iPad finds it and switches to wifi. If it restart the iPad, the network is lost again and I cannot add it back.
Whether hiding an SSID is useless or not, Apple clearly supports it otherwise the "Other" option wouldn't be there. There definitely is a problem with iOS 9 -- perhaps with certain models of iPad or iPhone and perhaps with certain routers.