alt Hacker NewsRent control is literally the removal of the right to evict a tenant who refuses the otherwise-uncontrolled rent increase you request. The inability to evict them for refusing the rent increase is what de-facto keeps the rent from increasing beyond its controlled limit.
Oh, I get that, but what's stopping the landlord from evicting someone who damages their property? Or if the landlord no longer wants to rent and wants to live in it themselves?