Add SQL Server Analysis Services Role Members via PowerShell or XMLA

Problem
How can you add a user (member) to a SQL Server Analysis Services (SSAS) Database role via PowerShell or XMLA scripts?

Solution
Working with scripts in SQL Server Analysis Services (SSAS) always requires a different thought process than regular T-SQL scripting. Most of us are familiar with various techniques we can utilize to add users / logins to a SQL Server database. Plus, there are plenty of tips, such as Daniel Calbimonte's Adding an Active Directory User with the Integration Services (SSIS) Script Task or Ahmad Yaseen's Grant User Access to All SQL Server Databases, that provide you with those details.

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