Hi patrick.dennin, we are sorry your RoboVac can't be charged. Please be assured we will help you out.
From your description, it seems the side switch has been turned off.(see the attachment) Could you please check it?
If not, would you charge it directly from the AC adapter without the charging base for 5+ hours and retry? Also, please let us know whether or not the charging indicator lights up when you charge it this way.
If the issue can't be solved, please contact us via our email email@example.com for additional troubleshooting.