Include variable value when throwing exception

I have a function that throws a specific exception, and a try/catch block in a top-level function that handles it. I want to pass along the value of some variables in addition to the error message for debugging purposes. Typically cell array, string array or numerical matrix.

I'm guessing I would have to create a custom exception class for this?

Follow-up: Why is the default MException so restrictive? Is error handling like I described a bad practice?

[Marc Youcef]

I was looking for same thing as well. I hav objects being instantiated in a loop and when it fails I would like to know which index of instantiation failed.