SOFC for TS fuzzy systems: Less conservative and local stabilization conditions

Author

Mozelli, L.A. ; Souza, F.O. ; Mendes, E.M.A.M.

Author_Institution

Center for Studies in Electron., Univ. Fed. de Sao Joao del-Rei, Ouro Branco, Brazil

fYear

2014

fDate

9-12 Dec. 2014

Firstpage

1

Lastpage

7

Abstract

The static output feedback control (SOFC) for Takagi-Sugeno (TS) fuzzy systems is addressed in this paper. Based on Lyapunov theory the proposed methods are formulated as Linear Matrix Inequalities (LMIs). To obtain less conservative conditions the properties of membership functions time-derivative are explored. Wiht this new methodology SOFC with higher H_∞ attenuation level can be designed. Moreover, the method is extended to local stabilization using the concepts of invariant ellipsoids and regions of stability. These local conditions overcome some difficulties associated with estimating bounds for the timederivative of the membership functions. Examples are given to illustrate the merits of the proposed approaches.

Keywords

H^∞ control; Lyapunov methods; feedback; fuzzy control; fuzzy systems; linear matrix inequalities; stability; H_∞ attenuation level; LMI; Lyapunov theory; SOFC; TS fuzzy system; Takagi-Sugeno fuzzy system; invariant ellipsoids; less conservative conditions; linear matrix inequalities; local stabilization conditions; membership functions time-derivative properties; stability regions; static output feedback control; Asymptotic stability; Attenuation; Indexes; Lyapunov methods; Numerical models; Stability analysis; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence in Control and Automation (CICA), 2014 IEEE Symposium on

Conference_Location

Orlando, FL

Type

conf

DOI

10.1109/CICA.2014.7013233

Filename

7013233