Using describing function to analyze wriggling phenomenon of fuzzy control systems

Author

Jun, Xing ; Zhongke, Shi ; Guanzhong, Dai

Author_Institution

Dept. of Autom. Control, Northwestern Polytech. Univ., Xian, China

Volume

2

fYear

1996

fDate

8-11 Sep 1996

Firstpage

1198

Abstract

In this paper, the describing function of bi-dimensional multi-level relay equivalent model of two-input-single-output fuzzy controller is derived. Based on this function, we analyze the wriggling phenomenon of fuzzy control systems, and qualitatively investigate the effect of fuzzy controller scaling factors on the wriggling amplitude. Simulation result has proved the feasibility and accuracy of the describing function technique in the analysis of fuzzy control systems

Keywords

describing functions; fuzzy control; fuzzy set theory; limit cycles; nonlinear control systems; relay control; bidimensional multi-level relay equivalent model; describing function; fuzzy control systems; fuzzy set theory; limit cycles; nonlinear systems; scaling factors; two-input-single-output fuzzy controller; wriggling phenomenon; Automatic control; Control system analysis; Control systems; Error correction; Fuzzy control; Fuzzy logic; Fuzzy sets; Fuzzy systems; Input variables; Relays;

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.1996.552348

Filename

552348