How do i gain control back in the relationship?

i have been dating this guy for about 10 months.. and to be honest he can be a bit immature with things... i love him to death and he is super affectionate and everything but he doesn't handle arguments very well.. when he is mad at me or upset he gives me the cold shoulder.. and i mean super icy cold,, i could be asking him a direct question and he would act like i'm not even there. he is starting to get better in that regard, but for the most part in times of arguments when i know i didn't do anything wrong at all, i am the one ending up apologizing because i just want things to be better, i tell him things like "i don't know what i did to upset you, but whatever i did i'm sorry" trying to understand where he is coming from, however, he never really gives me an insight of what is bothering him, and if he does it's not till a long time later.. what is the best way to handle that? should i leave and then give it time to talk about it? or what is a good way to handle an argument when the other person isn't discussing with you what is bothering them...