Improvements on non-PDC controller design for Takagi-Sugeno models

Author

Marquez, Raymundo ; Guerra, Thierry Marie ; Kruszewski, Alexandre ; Bernal, Miguel

Author_Institution

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

fYear

2013

fDate

7-10 July 2013

Firstpage

1

Lastpage

7

Abstract

This paper presents a novel approach for controller design of Takagi-Sugeno models based on decoupling a quadratic Lyapunov function from a progressively more complex non-parallel distributed compensation control law. Inspired in recent results from the linear parameter varying literature, which provide a way to find parameter-dependent linear matrix inequalities, the proposed generalization includes former PDC quadratic cases as well as some recent approaches. Examples are provided to illustrate the aforementioned contributions.

Keywords

Lyapunov methods; compensation; control system synthesis; fuzzy control; linear matrix inequalities; linear systems; Takagi-Sugeno fuzzy models; linear parameter varying literature; nonPDC controller design; nonparallel distributed compensation control law; parameter-dependent linear matrix inequalities; quadratic Lyapunov function; Biological system modeling; Indexes; Linear matrix inequalities; Lyapunov methods; Stability analysis; Takagi-Sugeno model; Vectors; Linear Matrix Inequalities; Linear Parameter Varying; Non-PDC Control Law; Takagi-Sugeno models;

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.2013.6622474

Filename

6622474