Robust stable feedback linearization of fuzzy modeled nonlinear systems via LMI´s

Author

Park, Chang-Woo ; Moon, Chan-Woo ; Lee, Jong-Bae ; Kim, Young-Ouk ; Sung, Ha-Gyeong

Author_Institution

KETI, Puchon-Si, South Korea

Volume

3

fYear

2004

fDate

25-29 July 2004

Firstpage

1257

Abstract

This paper presents the robust stability analysis and design methodology of the fuzzy feedback linearization control systems. Uncertainty and disturbances with known bounds are assumed to be included in the Takagi-Sugeno (TS) fuzzy models representing the nonlinear plants. L₂ robust stability of the closed system is analyzed by casting the systems into the diagonal norm bounded linear differential inclusions (DNLDI) formulation. Based on the linear matrix inequality (LMI) optimization programming, a numerical method for finding the maximum stable ranges of the fuzzy feedback linearization control gains is also proposed. To verify the effectiveness of the proposed scheme, the robust stability analysis and control design examples are given.

Keywords

control system synthesis; fuzzy control; linear matrix inequalities; nonlinear control systems; robust control; state feedback; L₂ robust stability; Takagi-Sugeno fuzzy models; control design; diagonal norm bounded linear differential inclusions; fuzzy modeled nonlinear systems; linear matrix inequality optimization programming; robust stable feedback linearization; Control systems; Design methodology; Fuzzy control; Fuzzy systems; Linear feedback control systems; Nonlinear systems; Robust stability; Robustness; Takagi-Sugeno model; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2004. Proceedings. 2004 IEEE International Conference on

ISSN

1098-7584

Print_ISBN

0-7803-8353-2

Type

conf

DOI

10.1109/FUZZY.2004.1375345

Filename

1375345