Nonlinear state feedback controller for nonlinear systems: Stability analysis and design based on fuzzy plant model

Author

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

Author_Institution

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

Volume

9

Issue

4

fYear

2001

fDate

8/1/2001 12:00:00 AM

Firstpage

657

Lastpage

661

Abstract

This paper presents the stability analysis of a fuzzy-model-based control system consisting of a nonlinear plant and a nonlinear state feedback controller and the design of the nonlinear gains of the controller. The nonlinear plant is represented by a fuzzy model having p rules. A nonlinear state feedback controller is designed to close the feedback loop. Under this design, the stability condition is reduced to p linear matrix inequalities. An application example on stabilizing a mass-spring-damper system will be given

Keywords

control system analysis; control system synthesis; fuzzy control; matrix algebra; nonlinear control systems; stability criteria; state feedback; LMI; controller nonlinear gain design; feedback loop; fuzzy plant model; fuzzy-model-based control system; linear matrix inequalities; mass-spring-damper system; nonlinear state feedback controller; nonlinear systems; stability analysis; Control systems; Feedback loop; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Mathematical model; Nonlinear control systems; Nonlinear systems; Stability analysis; State feedback;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/91.940975

Filename

940975