Analysis and design of fuzzy-PID controller with generalized linear membership function

Author

Huang Weihua ; Zhang Zheng ; Fang Kangling

Author_Institution

Inf. Sci. & Eng. Sch., Wuhan Univ. of Sci. & Technol., Wuhan, China

fYear

2014

fDate

May 31 2014-June 2 2014

Firstpage

2365

Lastpage

2369

Abstract

A kind of membership function, called as generalized linear membership function(GLMF), is designed in the paper, and the triangular and trapezoid ones are as its special cases. It is derived that the fuzzy-PID Controller with GLMF is equivalent to the sum of a nonlinear PID controller and a compensation value, based on the analytical structure of the controller. With the definition of fuzzy Lyapunov function, the stabilization condition is given to adjust the performance of the fuzzy system. Finally, the characters of the designed fuzzy system, derived by theoretical analysis, are manifested by the simulation results of several examples.

Keywords

Lyapunov methods; compensation; control system analysis; control system synthesis; fuzzy control; fuzzy systems; nonlinear control systems; stability; three-term control; compensation value; fuzzy Lyapunov function; fuzzy system; fuzzy-PID controller analysis; fuzzy-PID controller design; generalized linear membership function; nonlinear PID controller; stabilization condition; Asymptotic stability; Control systems; Fuzzy sets; Fuzzy systems; Lyapunov methods; Stability criteria; analytical structure; fuzzy-PID controller; generalized linear membership function; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (2014 CCDC), The 26th Chinese

Conference_Location

Changsha

Print_ISBN

978-1-4799-3707-3

Type

conf

DOI

10.1109/CCDC.2014.6852568

Filename

6852568