The answer is price ceiling. 
A price ceiling is a set amount, usually made by the government, that protects consumers from extremely high prices. In this case, controlling how much a business or landowner can charge for rent would be a price ceiling. 
A price floor, on the other hand, is a minimum that a business can charge for a good or service. 
A surplus refers to having more goods/products than demanded by the consumers. 
Rationing refers to government controlling over resources. This was used in the US during World War I and World War II to ensure the US military had enough resources to be successful.