The absolute stability of T-S fuzzy Lurie control systems with multiple time-delays

Author

Xia, Xiao-xu ; Zhong, Shouming

Author_Institution

Sch. of Sci., Southwest Pet. Univ., Chengdu, China

fYear

2010

fDate

17-19 Dec. 2010

Firstpage

75

Lastpage

78

Abstract

In this paper, the absolute stability of a new class of Takagi-Sugeno (T-S) fuzzy Lurie control systems with multiple time-delays is investigated. By utilizing the Lyapunov stability theory and the linear matrix inequality (LMI) approach, a novel delay-dependent absolutely stable condition is derived. In addition, by using Simulink toolbox in MATLAB, a simulation example is provided to demonstrate effectiveness of the proposed result.

Keywords

Lyapunov matrix equations; delay systems; fuzzy control; linear matrix inequalities; nonlinear control systems; stability; Lyapunov stability theory; MATLAB; Simulink toolbox; Takagi-Sugeno fuzzy Lurie control system; absolute stability; delay-dependent absolutely stable condition; linear matrix inequality approach; time-delays; Control systems; Delay; Linear matrix inequalities; Mathematical model; Power system stability; Stability analysis; Takagi-Sugeno model; Absolute stability; Linear matrix inequality (LMI); Lyapunov-Krasovskii functional (LKF); Takagi-Sugeno (T-S) fuzzy Lurie systems; multiple time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Apperceiving Computing and Intelligence Analysis (ICACIA), 2010 International Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4244-8025-8

Type

conf

DOI

10.1109/ICACIA.2010.5709854

Filename

5709854