Stability conditions for closed-loop fuzzy systems with singleton consequents

In this paper we deal with the stability of a fuzzy system with singleton consequents and present stability conditions for a fuzzy control system which consists of a fuzzy model of a general nonlinear system and a state-feedback fuzzy controller. We start with two canonical forms and show stability conditions for an unforced fuzzy system. Then this paper gives a stability theorem for the closed-loop fuzzy system. A state-feedback stabilization example is shown to verify the stability conditions.