BMI-Based Stability and Performance Design for Fuzzy-Model-Based Control Systems Subject to Parameter Uncertainties

Author

Lam, H.K. ; Seneviratne, Lakmal D.

Author_Institution

Div. of Eng., King´´s Coll., London

Volume

37

Issue

3

fYear

2007

fDate

6/1/2007 12:00:00 AM

Firstpage

502

Lastpage

514

Abstract

This paper presents the stability and performance design of a fuzzy-model-based control system subject to parameter uncertainties. A nonlinear controller with a favorable characteristic to relax the stability conditions is proposed to drive the system states of the nonlinear plant to follow those of a stable reference model. Stability and performance conditions in terms of bilinear matrix inequalities (BMIs) will be derived based on a Lyapunov-based approach. A combined genetic algorithm and convex programming technique process will be developed to solve the solution to the BMIs. An application example will be given to illustrate the merits of the proposed approach

Keywords

Lyapunov matrix equations; control system synthesis; convex programming; fuzzy control; fuzzy systems; genetic algorithms; nonlinear control systems; stability; Lyapunov-based approach; bilinear matrix inequalities-based stability; convex programming; fuzzy-model-based control systems; genetic algorithm; nonlinear control system; parameter uncertainty; stable reference model; Control systems; Fuzzy control; Genetic algorithms; Linear feedback control systems; Linear matrix inequalities; Nonlinear control systems; Nonlinear systems; Robust control; Stability analysis; Uncertain systems; Bilinear matrix inequality; fuzzy control; nonlinear systems; stability; Algorithms; Artificial Intelligence; Computer Simulation; Feedback; Fuzzy Logic; Models, Statistical; Pattern Recognition, Automated; Systems Theory;

fLanguage

English

Journal_Title

Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on

Publisher

ieee

ISSN

1083-4419

Type

jour

DOI

10.1109/TSMCB.2006.885308

Filename

4200803