I wish I had a place I could really call home. I haven't for over five years now. Cherish it if you'd got it.
To the problem at hand, however...you're in college now. This is the time you're actually supposed to move out and live on your own and that's how you should frame it to your father. Every child must eventually leave the nest, and going to college is when you're supposed to do it in our society. If he can't reasonably see that, then you're screwed whether you stay or go. If you can get him to understand that, he'll let you stay to be in school and he'll still support you. It's basically the best possible outcome.
As to how to get him to see that, frame it like I suggest and beyond that...it's hard to say without knowing your father. In the event he refuses to let go of you...you should act of your own accord and arrange to stay. It'll be a bad environment for you to stay with him. Thing about colleges is...if you go to financial aid and explain that your family is no longer supporting you..at all..you become eligible for a lot more aid. Enough that you might even be able to pay for tuition and room and board. That's hopeful, mind you, but it can happen depending on how expensive your school is. Also, apply for every scholarship you can get your hands on. A lot of scholarships are awarded to someone because he or she was the only person to apply for it. Grab money where you can. It's going to be tight during your undergrad studies.
I guess I'm saying, you absolutely should make the decision to stay where you are and go to college here. You're goal is to persuade your father to support you in that endeavor.