dorothyinste said..
How do kite designs evolve to reduce luffing?
To answer the original question, the most common way to stop luffing is to simply improve the balance of the kite. Kites used to luff because they were leading edge heavy. Once the lift faded the kite would simply fall over forward. By making the kite more balanced it could float in the air and drift back rather then fall down nose first.
There are other ways to fix luffing and for other causes. You can make reflex profiles so that the centre of effort naturally moves forward as the wing tilts forward. Reflex profiles are naturally resistant to luffing but they are also less efficient. Simplistically described a reflex profile is a wing where the trailing edge kicks up slightly. They are also called S-curve wings. Google reflex profiles and have a read.
Adding pulleys and bridles also helped to bring the tow point forward whenever a kite luffed so that it would recover instead of crashing.