A stability analysis of fuzzy control system using a generalized fuzzy Petri net model

Stability analysis of a fuzzy control system has been one of the main topics of fuzzy control. A Petri net, representing a discretized fuzzy control system, has been applied to the stability analysis. A theory of asymptotic stability has been derived for the approximated control system. However, this theory guarantees the stability of nominal behavior of a fuzzy control system. This paper presents a new stability analysis of a fuzzy control system using a generalized fuzzy Petri net model. The rigorous behavior of the fuzzy system can be analyzed by the generalized model. Neural network realization of the Petri net model for the stability analysis is also given.