An Extension of Stability Condition for a Class of Fuzzy System with Singleton Consequents and Its Application to Stabilizing Control of General Nonlinear Systems

Abstract

In this paper we deal with an extended fuzzy model with singleton consequents and discuss the stability of a closed-loop fuzzy system which models a generalized nonlinear system. First, we extend a fuzzy model and show stability conditions for unforced fuzzy systems. Next, we give a stability theorem for closed-loop fuzzy systems with feedback fuzzy controllers. Then we introduce a fuzzy pseudolinearization algorithm for stabilizing control. Examples show the effects of the extended fuzzy model and the stability conditions.