Design of Multiple-Parameterisation PDC Controllers via Relaxed Conditions for Multi-Dimensional Fuzzy Summations

Author

Arino, Carlos ; Sala, Antonio

Author_Institution

Univ. Jaume I, Castello de la Plana

fYear

2007

fDate

23-26 July 2007

Firstpage

1

Lastpage

6

Abstract

In this paper, fuzzy controllers extending the Takagi-Sugeno PDC framework are proposed. Instead of being linear in the membership functions, quadratically, cubically, etc. parameterised controllers can be dealt with using recent LMI stability and performance conditions. As a particular case, LMI stability conditions are devised in order to prove state-feedback stabilizability of Takagi-Sugeno fuzzy systems with controllers quadratic in the membership functions, and numerical examples are provided.

Keywords

fuzzy control; fuzzy systems; linear matrix inequalities; stability; state feedback; LMI stability condition; Takagi-Sugeno PDC framework; fuzzy controller; multidimensional fuzzy summation; multiple-parameterisation PDC controller; state-feedback stabilizability; Control systems; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Multidimensional systems; Nonlinear control systems; Nonlinear systems; Stability criteria; Systems engineering and theory; Takagi-Sugeno model; Takagi-Sugeno fuzzy systems; fuzzy control; linear matrix inequalities; nonlinear systems; stability criteria;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International

Conference_Location

London

ISSN

1098-7584

Print_ISBN

1-4244-1209-9

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2007.4295495

Filename

4295495