Robust stability analysis and design method for the fuzzy feedback linearization regulator

Author

Kang, Hyung-Jin ; Kwon, Cheol ; Lee, Heejin ; Park, Mignon

Author_Institution

Dept. of Electron. Eng., Yonsei Univ., Seoul, South Korea

Volume

6

Issue

4

fYear

1998

fDate

11/1/1998 12:00:00 AM

Firstpage

464

Lastpage

472

Abstract

A robust stability analysis and design method for a fuzzy feedback linearization regulator is presented. The well-known Takagi-Sugeno fuzzy model is used as the nonlinear plant model. Uncertainties and disturbance are assumed to be included in the model structure with known bounds. For these structured uncertainties, stability robustness of the closed system is analyzed in both input-output sense and Lyapunov sense. The robust stability conditions are proposed using multivariable circle criterion and the relationship between input-output stability and Lyapunov stability. Also, based on the stability analysis, a systematic design procedure for the fuzzy feedback linearization regulator is provided. The effectiveness of the proposed analysis and design method is illustrated by a simple example

Keywords

Lyapunov methods; control system analysis; control system synthesis; feedback; fuzzy control; input-output stability; linearisation techniques; multivariable control systems; nonlinear control systems; robust control; stability criteria; Lyapunov stability; Takagi-Sugeno fuzzy model; fuzzy feedback linearization regulator; input-output stability; multivariable circle criterion; nonlinear plant model; robust stability analysis; robust stability design; stability robustness; structured uncertainties; Design methodology; Feedback; Fuzzy systems; Lyapunov method; Regulators; Robust stability; Stability analysis; Stability criteria; Takagi-Sugeno model; Uncertainty;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/91.728433

Filename

728433