Nonlinear system H∞ fuzzy control within Takagi-Sugeno framework

Author

Filasova, Anna ; Hladky, Vratislav ; Krokavec, Dusan

Author_Institution

Dept. of Cybern. & Artificial Intell., Tech. Univ. of Kosice, Kosice, Slovakia

fYear

2013

fDate

18-21 June 2013

Firstpage

13

Lastpage

18

Abstract

The paper deals with the problem of constrained H_∞ fuzzy control for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models. On the basis of the Lyapunov stability criterion and H_∞ norm performances, the sufficient conditions of stabilization are outlined and adjusted for systems operating in a forced mode. Numerical simulation is given to illustrate the design procedure and to validate the performances of the proposed approach.

Keywords

H^∞ control; Lyapunov methods; continuous time systems; control system synthesis; fuzzy control; nonlinear control systems; numerical analysis; stability; H_∞ norm performances; Lyapunov stability criterion; Takagi-Sugeno framework; constrained H_∞ fuzzy control; continuous-time nonlinear systems; design procedure; forced mode; numerical simulation; Bismuth; Fuzzy control; Mathematical model; Nonlinear systems; Symmetric matrices; Takagi-Sugeno model; Vectors; Takagi-Sugeno models; convex optimization; fuzzy control; linear matrix inequalities; parallel distributed compensation;

fLanguage

English

Publisher

ieee

Conference_Titel

Process Control (PC), 2013 International Conference on

Conference_Location

Strbske Pleso

Print_ISBN

978-1-4799-0926-1

Type

conf

DOI

10.1109/PC.2013.6581375

Filename

6581375