Powershell script to detect connected IP on a router

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I want to know the IP of a computer without a display which connected to a router, use below powershell script to detect. I don’t have the admin access of the router.

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for ($i=1; $i -lt 255; $i++) {
    $computer = '192.168.1.' + $i
    if (Test-Connection -ComputerName $computer -Count 1 -Quiet) {
        Write-Host "$computer is online."
    } else {
        Write-Host "$computer" 
    }
 }