ABSTRACT
In this chapter, the authors introduce variable universes-based adaptive fuzzy controllers. They define monotonicity of control rules and prove that the monotonicity of interpolation functions of fuzzy control is equivalent to the monotonicity of control rules. The authors discuss the structure of the contraction-expansion factor. They present three models of adaptive fuzzy control, namely, an adaptive fuzzy control model with potential heredity, adaptive fuzzy control model with obvious heredity and adaptive fuzzy control model with successively obvious heredity. There are two different types of fuzzy controllers: the trial-and-error approach and the theoretical approach. A set of “If-Then” rules is collected from experience-based knowledge for the trial-and-error approach. In theoretical approach, the structure and parameters of fuzzy controller are designed such that a certain performance criteria are guaranteed.
