This independent evidence-based professional health site discusses all of the sweeteners that you have mentioned;
http://www.nhs.uk/Livewell/Goodfood/...sucralose.aspx .
They all look fine to me.
Animal (rat) model studies have shown that both aspartame and Acesulfame K can be carcinogens. The dose of Acesulfame K which put rats at increased risk is the equivalent of a human consuming 1343 12 oz cans of artificially sweetened soft drink every day - I don't know anybody who does that and similar data apply to aspartame.
Quantitative thinking (considering dose-response relationships) is, in my opinion, the basis of making rational health choices.