Stable and robust fuzzy control for uncertain nonlinear systems

Author

Lam, H.K. ; Leung, F.H.F. ; Tam, P.K.S.

Author_Institution

Dept. of Electron. & Inf. Eng., Hong Kong Polytech., Kowloon, China

Volume

30

Issue

6

fYear

2000

fDate

11/1/2000 12:00:00 AM

Firstpage

825

Lastpage

840

Abstract

Presents the stability and robustness analysis for multivariable fuzzy control systems subject to parameter uncertainties based on a single-grid-point (SGP) approach. To perform the analysis, we represent a multivariable nonlinear system using a TS-fuzzy plant model. Three design approaches of fuzzy controllers are introduced to close the feedback loop. By estimating the matrix measures of the system parameters and parameter uncertainties, stability and robustness conditions for different cases are derived. Application examples are given to show the design procedures and the merits of the proposed fuzzy controller

Keywords

control system synthesis; feedback; fuzzy control; multivariable control systems; nonlinear control systems; robust control; uncertain systems; TS-fuzzy plant model; parameter uncertainties; robust fuzzy control; robustness analysis; single-grid-point approach; stability analysis; uncertain nonlinear systems; Adaptive control; Control systems; Fuzzy control; Fuzzy systems; Mathematical model; Nonlinear systems; Programmable control; Robust control; Robust stability; Three-term control;

fLanguage

English

Journal_Title

Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on

Publisher

ieee

ISSN

1083-4427

Type

jour

DOI

10.1109/3468.895910

Filename

895910