Internet repeatedly disconnects.

For internet connection issues, check this link: Fix DIRECTV network connection error messages | DIRECTV Support. If technical assistance is needed, contact us here, @abfisher: DIRECTV Customer Service - Phone Support & Chat Charles, DIRECTV Community Team

Your router/gateway is what gives DTV its connection to the internet and refreshes it regularly so something is happening to not allow it to reconnect,  Sometimes going into the router/gateway and setting a static address for the DTV receiver helps.  

How is your DirecTV connected to your internet?

Is this the only device that has issues?

What is the model of your DirecTV box?

Is only one box serving as the connection for your entire setup?

Is your SSID set to hidden?