Why Fuzzy Control Is Often More Robust (and Smoother): A Theoretical Explanation

Authors

Orsolya Csiszar, Aalen University of Applied SciencesFollow
Gábor Csiszar, University of StuttgartFollow
Olga Kosheleva, The University of Texas at El PasoFollow
Martine Ceberio, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

6-1-2023

Comments

Technical Report: UTEP-CS-23-26

Abstract

In many practical situations, practitioners use easier-to-compute fuzzy control to approximate the more-difficult-co-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.