Create a Task Scheduler with PowerShell

I need to create a Task Scheduler for 10 pm every day, but if the PC is off at that time, it needs to forgot this event and wait until next day 10 pm.  In other works if the PC is off skit the event.
Right now my script create the event but if the computer is off, the event occur at soon user log on in the morning, I need to avoid it.
Any ideas and thanks for your help.
 
#Create a 10 pm task Scheduler

$taskExists = Get-ScheduledTask | Where-Object {$_.TaskName -like $jobname }

if($taskExists)
{}
else
{
$script =  "-ExecutionPolicy Bypass -file $File"
$action = New-ScheduledTaskAction –Execute "powershell.exe" -Argument "$script"
$trigger = New-ScheduledTaskTrigger -daily -At $Time
$Description = "Shutdowm computers at $Time every day."
$settings = New-ScheduledTaskSettingsSet -AllowStartIfOnBatteries -DontStopIfGoingOnBatteries -StartWhenAvailable -DontStopOnIdleEnd
Register-ScheduledTask -TaskName $jobname -user "theuser" -Password "password"-Action $action -Trigger $trigger -RunLevel Highest -Settings $settings -Description $Description
}