Stability analysis of SIRMs dynamically connected fuzzy inference model

Author

Yi, Jianqiang ; YUBAZAKI, Naoyoshi ; Hirota, Kaoru

Author_Institution

Inst. of Autom., Acad. Sinica, Beijing, China

Volume

1

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

143

Lastpage

146

Abstract

A stability analysis approach for a class of fuzzy controllers based on the single input rule modules (SIRMs) dynamically connected fuzzy inference model is proposed. It is proved that such a fuzzy controller can be approximately changed into a linear state feedback controller near an equilibrium point if each SIRM has a property of linear input-output mapping. Then linear state feedback control theories can be used to solve the stability problem. The proposed approach is applied to stabilization control of inverted pendulum system and the stability analysis results agree completely with the control results

Keywords

control system analysis; fuzzy control; inference mechanisms; linear systems; nonlinear control systems; pendulums; stability; state feedback; SIRM dynamically connected fuzzy inference model; equilibrium point; fuzzy controllers; inverted pendulum system; linear I/O mapping; linear input-output mapping; linear state feedback control; linear state feedback controller; single input rule modules; stability; stability analysis; stabilization control; Control systems; Equations; Feedback control; Fuzzy control; Linear feedback control systems; Niobium; Process control; Stability analysis; State feedback; System performance;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2001. The 10th IEEE International Conference on

Conference_Location

Melbourne, Vic.

Print_ISBN

0-7803-7293-X

Type

conf

DOI

10.1109/FUZZ.2001.1007267

Filename

1007267