Farzad Tat Shahdoost - PhD Student in Electrical Control Engineering, Faculty of Electrical Engineering, Islamic Azad University, Garmsar Branch, Garmsar, Semnan, Iran

Adaptive fuzzy sliding model hybrid controllers along with complementary and evolutionary controllers can be considered as a type of controllers in which all three types of controllers are combined in order to benefit from the formal and inherent advantages. They do. However, there are many challenges and challenges to this work, which is addressed in this research work.In this comparative-descriptive-research study, the advantages and disadvantages of all three types of controllers and horizons are discussed. Although a wide variety of work has been done in this area, it can still be enjoyed in the proposed area of Lyapunov's function and the analysis of the problem of stability based on related mathematical concepts. The authors decided to do a relatively comprehensive work by examining, analyzing and discussing in detail the control structures as well as comparing and combining them.

Sliding model controller, fuzzy controller, adaptive controller, stability, control horizon