Abstract
Fuzzy control rules are described with if-then expressions and the fuzzy controls can incorporate experts' control rules. It is, however, difficult to guarantee the stability of fuzzy control system. However, the distinguishing feature of fuzzy controls, i.e. easily understandable linguistic expressions, have not been utilized in these analyses.This paper presents a new method for stability analysis of fuzzy control systems using petri nets. By simplifying the fuzzy control system as a discrete system, the fuzzy control system can be expressed using the petri nets. This proposed method can describe the fuzzy control system using the next-state function, thereby enables to analyze the stability of the fuzzy control system. The analytic results using the petri nets have clear correspondence to the fired fuzzy rules. The dynamical behavior of the system are able to be understood easily. Simulations are done to verify the proposed stability analysis method.
