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

Volume

3

fYear

1996

fDate

8-11 Sep 1996

Firstpage

2155

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on

Conference_Location

New Orleans, LA

Print_ISBN

0-7803-3645-3

Type

conf

DOI

10.1109/FUZZY.1996.552801

Filename

552801