Here is a pet door that you can control with your smartphone. The Power Pet WiFi Enabled Electronic Pet Door can handle pets up to 100lbs. It combines with your phone to track history and keep up with notifications.
This WiFi connected pet door can also work with smart ultrasonic pet collars. The PX2-WIFI supports up to 20 custom timers. The companion app lets you know when your pet is trying to come in and alerts you to any modification.