Quadratically Stable Fuzzy Control for a Class of Uncertain Nonlinear Systems

Author

Zhenbin, Du ; Zifang, Qu ; Junyi, Ren

Author_Institution

Yantai Univ., Yantai

fYear

2007

Firstpage

241

Lastpage

244

Abstract

Combining fuzzy T-S model with adaptive fuzzy logic systems, this paper presents a quadratically stable control scheme for a class of uncertain nonlinear systems. Firstly, the fuzzy T-S model is used to model the nonlinear systems. Secondly, the effect of the modeling errors a and the modeling errors and the uncertain nonlinear parts are eliminated by a compensator based on the adaptive fuzzy logic systems. The control scheme guarantees the quadratic stability of the closed loop system and the L₂ norm bound. The simulation results demonstrate that the control scheme is effective.

Keywords

adaptive systems; closed loop systems; fuzzy control; nonlinear control systems; stability; uncertain systems; L2 norm bound; adaptive fuzzy logic systems; closed loop system; compensator; fuzzy T-S model; quadratically stable fuzzy control; uncertain nonlinear systems; Adaptive control; Adaptive systems; Control systems; Fuzzy control; Fuzzy logic; Fuzzy systems; Nonlinear control systems; Nonlinear systems; Programmable control; Stability; adaptive fuzzy logic systems; fuzzy T-S model; nonlinear systems; quadratically stable;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2007. CCC 2007. Chinese

Conference_Location

Hunan

Print_ISBN

978-7-81124-055-9

Electronic_ISBN

978-7-900719-22-5

Type

conf

DOI

10.1109/CHICC.2006.4346805

Filename

4346805