Title :
Approximated discrete system of fuzzy control system and stability analysis
Author :
Hasegawa, Takashi ; Furuhashi, Takeshi ; Uchikawa, Yoshiki
Author_Institution :
Dept. of Inf. Electron., Nagoya Univ., Japan
Abstract :
Fuzzy controls can describe control rules using if-then fuzzy rules and it can incorporate experts´ control rules. It is, however, difficult to guarantee the stability of fuzzy control systems. This paper presents a new method for stability analysis of fuzzy control systems using Petri nets. By approximating the fuzzy control system as a discrete system, the fuzzy control system can be expressed using the Petri nets. The proposed method describes the fuzzy control system using the next-state function of the Petri net, thereby enables to analyze the stability of the fuzzy control system. Simple simulation is done to verify the proposed stability analysis method
Keywords :
Petri nets; discrete time systems; fuzzy control; matrix algebra; stability; Petri nets; approximated discrete system; control rules; fuzzy control system; if-then fuzzy rules; stability analysis; Analytical models; Control systems; Design methodology; Fuzzy control; Fuzzy systems; Petri nets; Stability analysis;
Conference_Titel :
Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-3645-3
DOI :
10.1109/FUZZY.1996.552801
