Finite-time stabilization of a class of uncertain nonlinear systems with time-delay

Author

Zhuang, Jiamei ; Liu, Fei

Author_Institution

Inst. of Autom., Jiangnan Univ., Wuxi, China

Volume

1

fYear

2010

fDate

10-12 Aug. 2010

Firstpage

163

Lastpage

167

Abstract

For a class of uncertain time-delay nonlinear systems represented by Takagi-Sugeno fuzzy models, the finite-time stabilization problem with exogenous disturbances is discussed. Based on the stochastic Lyapunov-Krasovskii functional approach, a new finite-time stabilization condition is established for such fuzzy systems. By applying linear matrix inequality technique, the finite-time state feedback controller is derived. A numerical example is used to illustrate the effectiveness of the design procedure.

Keywords

Lyapunov matrix equations; control system synthesis; delays; fuzzy set theory; fuzzy systems; linear matrix inequalities; nonlinear control systems; stability; state feedback; stochastic processes; Takagi-Sugeno fuzzy models; design procedure; exogenous disturbances; finite-time stabilization; finite-time state feedback controller; linear matrix inequality technique; stochastic Lyapunov-krasovskii functional approach; time-delay; uncertain nonlinear systems; Asymptotic stability; Bismuth; Fuzzy systems; Linear matrix inequalities; Nonlinear systems; Stability analysis; State feedback; Takagi-Sugeno fuzzy models; finite-time stabilization; linear matrix inequalities; nonlinear systems; uncertainties;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery (FSKD), 2010 Seventh International Conference on

Conference_Location

Yantai, Shandong

Print_ISBN

978-1-4244-5931-5

Type

conf

DOI

10.1109/FSKD.2010.5569716

Filename

5569716