Why Fuzzy Control Is Often More Robust (and Smoother): A Theoretical Explanation
Orsolya Csiszár, Gábor Csiszár, Olga M. Kosheleva, Martine C. Ceberio, Владик Крейнович · 2023
In many practical situations, practitioners use easier-to-compute fuzzy control to approximate the more-difficult-to-compute optimal control. As expected, for many characteristics, this approximate control is slightly worse than the optimal control it approximates. However, with respect to robustness or smoothness, the approximating fuzzy control is often better than the original one. In this paper, we provide a theoretical explanation for this somewhat mysterious empirical phenomenon.