ANALYSIS OF A CLASS OF FUZZY CONTROLLERS

In this paper, a class of fuzzy controllers is considered. The controllers are constructed by applying product-max-COA(Center Of Area) inference method. The membership functions of the antecedence and the consequence are triangular and singelton in shape, respectively. The class of fuzzy controllers can be expressed by an explicit form, i.e. the sum of a linear function and some nonlinear terms. The explicit form of the class of controllers is generalized for multiple inputs. Therefore, by the use of the explicit form, the analysis of the fuzzy control system can be performed with the use of nonlinear control theory.