Fuzzy estimation based on type-2 fuzzy logic for adaptive Control

It has been proven that fuzzy systems called type-1 fuzzy systems can approximate any nonlinear function to any desired accuracy because of the universal approximation theorem. The principal problem encountered with type-1 fuzzy systems is that they can deliver a non satisfactory performance in face of uncertainty and imprecision. In this paper, a new type-2 fuzzy system based on type-2 fuzzy basis functions was developed in order to use them in an indirect adaptive control.