I purchased Kasa's outdoor smart plug, downloaded the app, and connected the plug to my WiFi. I then plugged the control box into the smart plug, and put the control box into automation mode per @setsailsoon's steps in post #54. My Dolphin started moving about the pool, and I was able to turn it off using my phone. Nice! I then created a schedule in the app to run the robot for 2 hours every other day, which is normally what I do manually anyway. Worked perfectly.Robot stopped after 2 hours. Still TBD is how long it will run once I have the smart plug.
I intend to really only use the automation when we're away from home for extend periods. Being retired we tend to take off for a couple weeks at a time, so this automation will solve the problem of starting up the robot while we are away.
Thanks to everyone that contributed to this solution.