See: http://www.huffingtonpost.com/robbie-gennet/donald-rumsfeld-...
When I was 8 years old, I started having grand mal seizures and my parents noted a strong correlation between drinking a Diet Coke and having a seizure. When they eliminated it from my diet, my seizures declined. Fortunately I stopped having seizures around 12 years of age. But given my experience, I continue to avoid all artificial sweeteners.
I know sources like https://en.wikipedia.org/wiki/Aspartame#Safety_and_approval_... claim that it is safe... and I agree that for most people it is probably okay in moderation. But based on my experience and the history of how Aspartame (Nutrasweet) got approved, I have serious doubts about its safety.