Title :
A stability analysis of fuzzy control system using a generalized fuzzy Petri net model
Author :
Furuhashi, Takeshi ; Kakami, Hiroyuki ; Peters, James ; Pedrycz, Witold
Author_Institution :
Nagoya Univ., Japan
Abstract :
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
Keywords :
Petri nets; asymptotic stability; control system analysis; discrete systems; fuzzy control; approximated control system; discretized fuzzy control system; fuzzy control system; generalized fuzzy Petri net model; nominal behavior; stability analysis; Abstracts; Asymptotic stability; Control systems; Fuzzy control; Fuzzy logic; Fuzzy neural networks; Fuzzy systems; Neurons; Numerical stability; Stability analysis;
Conference_Titel :
Fuzzy Systems Proceedings, 1998. IEEE World Congress on Computational Intelligence., The 1998 IEEE International Conference on
Conference_Location :
Anchorage, AK
Print_ISBN :
0-7803-4863-X
DOI :
10.1109/FUZZY.1998.687465
