Suppose a developer can build as tall as they wanted to, but each additional floor is more expensive: the break-even point is that each extra floor needs $100/month additional rent per unit. If you use law to force prices $100/mo lower, then the tallest floor doesn't get built anymore, because now it's not worth building.
(And if rent controls don't actually reduce the rents that people pay, then the controls aren't actually doing anything, so why have the overhead of the law? If you're reducing prices by law, things that people want to buy at or above the reduced price and sell at or below the market price don't get traded.)