A new approach to ralaxed quadratic stabilization for T-S fuzzy systems

Author

Xiangpeng, Xie ; Huaguang, Zhang

Author_Institution

Sch. of the Inf. Sci. & Eng., Northeastern Univ., Shenyang

fYear

2008

fDate

16-18 July 2008

Firstpage

307

Lastpage

310

Abstract

In this paper, the problems of quadratic stabilization conditions for Takagi-Sugeno fuzzy systems have been studied. A new quadratic stability condition, which takes into account the knowledge of the membership functionpsilas shape by considering bounds on their cross products, has been proposed. And then a new sufficient condition in terms of linear matrix inequalities is developed to synthesize the state feedback controller that stabilizes the fuzzy systems. An numerical example is provided to illustrate the effectiveness of the proposed results.

Keywords

fuzzy control; fuzzy systems; linear matrix inequalities; stability; state feedback; Takagi-Sugeno fuzzy system; cross product; linear matrix inequalities; membership function; quadratic stabilization; state feedback controller; Bismuth; Control systems; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Nonlinear systems; Shape; Stability analysis; Symmetric matrices; Takagi-Sugeno model; Linear matrix inequalities (LMIs); Relaxed quadratic stability; Takagi-Sugeno (T-S) fuzzy model;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4605129

Filename

4605129