your account is not part of the local admin group on the server. If you look up the error from the correlation id give on you 15hive log directory i think you would see the following:
Local administrator privilege is required to update the Farm
Administrators' group
goto server manager -> expand configuration -> expand local user and groups -> click on groups folder -> on the right hand side you should now see a list of local groups for the server, topmost you should see administrators -> double click administrators group -> a popup will appear -> click on add button -> search for your account to add to this group and click apply and then ok.
you should then be able to add users to admin group.
or
you can save this ps code to run in powershell,
Add-PSSnapin Microsoft.SharePoint.PowerShell -erroraction SilentlyContinue
# Creates a new Farm Administrator
$newFarmAdministrator = Read-Host -Prompt 'Please provide the name of the new Farm Administrator in the form of DOMAIN\Username'
$caWebApp = Get-SPWebApplication -IncludeCentralAdministration | where-object {$_.DisplayName -eq "SharePoint Central Administration v5"}
$caSite = $caWebApp.Sites[0]
$caWeb = $caSite.RootWeb
$farmAdministrators = $caWeb.SiteGroups["Farm Administrators"]
$farmAdministrators.AddUser($newFarmAdministrator, "", $newFarmAdministrator, "Configured via PowerShell")
$caWeb.Dispose()
$caSite.Dispose()
$caDB = Get-SPContentDatabase -WebApplication $caWebApp
Add-SPShellAdmin -Database $caDB -Username $newFarmAdministrator
when you run the .ps1 file it will promt you with the following message:
provide the name of the new Farm Administrator in the form of
DOMAIN\Username
all you need todo it write to powershell the user domain\name e.g. myDomAin\ali.sharepoint
http://www.sharepoint-reference.com/Blog/Lists/Posts/Post.aspx?ID=12