How does it work to be able to legally kick someone off their property like this? Because I've been working on a hypothetical idea for a while now that's kind

How does it work to be able to legally kick someone off their property like this? Because I've been working on a hypothetical idea for a while now that's kind of weird version of a commune. A facility that is autonomous and self-sustaining in which the facility and its infrastructure is owned and run by one person, but the community that it houses is governs itself. The person who runs the facility has the authority (only in very, very extreme cases) to evict people but mainly, the ideal is that the community would police and govern itself, evicting problematic members of their community. I just have no idea what the legal feasibility evicting someone is in this hypothetical situation.