Design of a fuzzy controller for stabilizing a ball-and-beam system

Author

Lam, H.K. ; Leung, F.H.F. ; Tam, P.K.S.

Author_Institution

Hong Kong Polytech., Kowloon, Hong Kong

Volume

2

fYear

1999

fDate

1999

Firstpage

520

Abstract

This paper presents the stability analysis and design of a fuzzy controller for a nonlinear ball-and-beam system. An improved simple stability condition is derived based on the Lyapunov´s stability theory. The derived stability condition involves a smaller number of Lyapunov´s conditions. A design of the membership functions of the fuzzy controller is given. In our approach, the number of rules of the fuzzy controller can be different from that of the fuzzy plant model. In addition, our approach can be applied to those fuzzy controllers with both positive and negative grades of membership

Keywords

Lyapunov methods; control system synthesis; fuzzy control; fuzzy set theory; nonlinear control systems; stability; Lyapunov´s stability theory; ball-and-beam system stabilisation; fuzzy controller design; membership functions; negative membership grades; nonlinear ball-and-beam system; positive membership grades; simple stability condition; Control systems; Feedback loop; Fuzzy control; Fuzzy systems; Guidelines; Lyapunov method; Nonlinear control systems; Particle beams; Stability analysis; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics Society, 1999. IECON '99 Proceedings. The 25th Annual Conference of the IEEE

Conference_Location

San Jose, CA

Print_ISBN

0-7803-5735-3

Type

conf

DOI

10.1109/IECON.1999.816428

Filename

816428