Checking Server online Status - PowerShell

We managed 100 + servers and we want make sure they come back after monthly maintenance reboot. We will run the following script by confirming the servers are Up. I retrieve servername from a Table called SQLServers from Database - DBA_ServerDW from ServerInstance name SQLTEST.

$servername = invoke-sqlcmd -ServerInstance SQLTEST -Database DBA_ServerDW `
-Query "select ServerName from DBA_ServerDW.dbo.SQLServers
where servername not like '%\%'"
ForEach ($server in $servername)
{
   # Ping the machine to see if it's on the network
   $ServerN=$server.ServerName
   $results = Get-WMIObject -query "select StatusCode from Win32_PingStatus where Address = '$ServerN'"
   $responds = $false  
   ForEach($result in $results) {
      # If the machine responds break out of the result loop and indicate success
      if ($result.statuscode -eq 0) {
         $responds = $true
         break
      }
   }
         If ($responds) {
      # Gather info from the server because it responds
      Write-Output "$ServerN responds"
   } else {
      # Let the user know we couldn't connect to the server
      Write-Output "$ServerN does not respond"
   }
}