LMI based stability conditions for nonlinear systems constructed by fuzzy input-output models

Author

Ban, Xiaojun ; Zhang, Zejian ; Huang, Xianlin ; Gao, X.Z.

Author_Institution

Harbin Inst. of Technol., Harbin, China

Volume

2

fYear

2011

fDate

25-28 July 2011

Firstpage

983

Lastpage

987

Abstract

This research focuses on the stability analysis and controller design for nonlinear systems constructed by fuzzy input-output models (FIOMs), which are different from the conventional Mamdani and T-S types of fuzzy models. Some stability conditions based on the linear matrix inequalities (LMIs) are proposed to analyze the stability of the closed loop fuzzy system and synthesize a static compensator, which can guarantee the globally asymptotically stability of the equilibrium. A numerical simulation is provided to illustrate the effectiveness of the proposed stability conditions.

Keywords

asymptotic stability; closed loop systems; control system synthesis; fuzzy control; fuzzy set theory; linear matrix inequalities; nonlinear control systems; LMI based stability conditions; T-S types; closed loop fuzzy system; controller design; conventional Mamdani types; fuzzy input-output models; global asymptotic stability; linear matrix inequalities; nonlinear systems; static compensator; Analytical models; Asymptotic stability; Fuzzy control; Mathematical model; Numerical stability; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Information Processing (ICICIP), 2011 2nd International Conference on

Conference_Location

Harbin

Print_ISBN

978-1-4577-0813-8

Type

conf

DOI

10.1109/ICICIP.2011.6008398

Filename

6008398