Why not, any advanced control schemes can be implemented in Delta robot, but if the robot is inbuilt controller, then you have to find the way to incorporate your proposed schemes.
If your system is controlling by an open-source code, it is easy to use any advanced control schemes. We have attempted several fuzzy logic control schemes on our own fabricated parallel manipulators.
Indeed I confirm the answer given by Prof. ZH Khan that the delta robot 3_ddl can be controlled by the fuzzy logic and precisely The fuzzy Logic of Type-2, in my opinion in the most recent bibliography the work that has been done so far Uses the technique cited. Regarding the use of other types of control the question remains open.
Here are additional references with the fuzzy logic of Type-2.
-A Comparison of Type-1 and Type-2 Fuzzy Logic Controllers in Robotics
Sure, you can although sometimes tuning is a difficult issue as well as guarantee mathematically, closed loop stability. You can use some adaptative fuzzy-neural control to provide the initial performance and later, some other nonlinear control or even a linear controller. There are many references you could work with but notice that they generally can not guarantee mathematically neither closed loop stability nor performance. The math model of parallel robots is quite complicated (mathematically and numerically; computational simulations)