Hello @Kinahealth 

Usually kasa device will try to  rescan or reconnect Wi-Fi if the WiFi SSID disappear or no Internet connection. 

May I know could you reproduce the issue. e.g   every reboot of router, kasa failed to reconnect to router. 

• Please confirm kasa device Signal strength  is strong as Case 1 , Step 3:
• https://www.tp-link.com/support/faq/2227/
• Confirm router internet has come back after reboot or power outage,make sure other devices have internet from router

  Can you help provide some information here to look into that further 

1. Model of router (better notes firmware of router)

Is it a Mesh  network, or router + extender 

2. How about the LED status on Kasa smart device after router internet restoration, is it Flashing/Solid Green, or Red?

how long router will take for router  to reboot and internet restoration, e.g.3 mins. 

3. After router reboot and internet is back, 

Can you control smart device in Kasa APP locally( when phone connected to home WiFi network )?

Can you control smart device in Kasa APP remotely (when phone is LTE mobile data or non- local network )?