Numerical robust stability analysis of fuzzy feedback linearisation regulator based on linear matrix inequality approach

Author

Park, C.-W. ; Kang, H.-J. ; Yee, Y.-H. ; Park, M.

Author_Institution

ICS Lab., Yonsei Univ., Seoul, South Korea

Volume

149

Issue

1

fYear

2002

fDate

1/1/2002 12:00:00 AM

Firstpage

82

Lastpage

88

Abstract

A numerical robust stability analysis for the fuzzy feedback linearisation regulator is presented using linear matrix inequalities (LMI) theory. The well known Takagi-Sugeno fuzzy model is used as the nonlinear plant model. Uncertainty is assumed to be included in the model structure with known bounds. For this structured uncertainty, the closed system can be cast into a Lur´e system by a simple transformation. From the LMI stability condition for the Lur´e system, we can derive the robust stability condition for the fuzzy feedback linearisation regulator based on the Takagi-Sugeno fuzzy model. The effectiveness of the proposed analysis is illustrated by a computer simulation

Keywords

fuzzy control; nonlinear control systems; robust control; stability; LMl stability; Lur´e system; Takagi-Sugeno fuzzy model; fuzzy feedback; linear matrix inequalities; linearisation regulator; nonlinear control theory; nonlinear plant model; robust stability;

fLanguage

English

Journal_Title

Control Theory and Applications, IEE Proceedings -

Publisher

iet

ISSN

1350-2379

Type

jour

DOI

10.1049/ip-cta:20020255

Filename

993585