Stability Analysis of a Multivariable Fuzzy Controller

In this paper a method for the design of fuzzy controllers that overcome the problems of lack of guaranteed stability and of computational explosion is developed. The proposed fuzzy controller takes into account the technological constraints on the input and output variables and can be easily designed even for multivariable systems. In the first part of the paper, a new fuzzy controller, named natural logic controller, is presented. Then the stability properties of systems controlled by this type of controller are studied. Based on the results of this analysis a systematic approach to the design of multivariable constrained fuzzy control systems with guaranteed stability is developed