If you want to have less affordable housing control the rent
Rent controls give builders and developers less incentive to increase the housing supply which is the best way to create affordable housing. If you look at the most expensive housing in the US, it is usually in states with control freak regulations like New York and California. The most affordable housing is in markets where there are fewer restriction on home building. People moving from the highly regulated states to Texas can get a nicer home for less money. Rent controls are a huge mistake.