Improvements on non-quadratic stabilization of continuous-time Takagi-Sugeno descriptor models

Author

Estrada-Manzo, Victor ; Guerra, Thierry Marie ; Lendek, Zsofia ; Bernal, Miguel

Author_Institution

LAMIH, Univ. of Valenciennes & Hainaut-Cambresis, Valenciennes, France

fYear

2013

fDate

7-10 July 2013

Firstpage

1

Lastpage

6

Abstract

This paper presents a relaxed approach for stabilization and H_∞ disturbance rejection of continuous-time Takagi-Sugeno models in descriptor form. Based on Finsler´s Lemma, the control law can be conveniently decoupled from a non-quadratic Lyapunov function. These developments include and outperform previous results on the same subject while preserving the advantage of being expressed as linear matrix inequalities. Two examples are presented to illustrate the improvements.

Keywords

H^∞ control; Lyapunov methods; continuous time systems; fuzzy control; linear matrix inequalities; stability; Finsler Lemma; H_∞ disturbance rejection; continuous-time Takagi-Sugeno descriptor models; control law; linear matrix inequalities; nonquadratic Lyapunov function; nonquadratic stabilization; Analytical models; Fuzzy systems; Linear matrix inequalities; Lyapunov methods; Mathematical model; Stability analysis; Takagi-Sugeno model; Descriptors; Finsler´s Lemma; H∞ criterion; Linear Matrix Inequality;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems (FUZZ), 2013 IEEE International Conference on

Conference_Location

Hyderabad

ISSN

1098-7584

Print_ISBN

978-1-4799-0020-6

Type

conf

DOI

10.1109/FUZZ-IEEE.2013.6622426

Filename

6622426