Absolute Stability Condition for Uncertain T-S Fuzzy Lurie Control Systems with Time-Delay

Author

Xia, Xiao-Xu ; Tu, Daoxing ; Wang, Yong

Author_Institution

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

fYear

2012

fDate

17-19 Aug. 2012

Firstpage

688

Lastpage

691

Abstract

This paper focuses on the absolute stability of a new class of Takagi-Sugeno (T-S) fuzzy Lurie control systems with time-delay and time-variant uncertainties in the state as well as the nonlinearity functions. Based on Lyapunov-Krasovskii functional (LKF) together with linear matrix inequality (LMI) approach, a novel delay-dependent absolute stability criterion is derived. In the end, a numerical example and its simulation results are presented to illustrate feasibility and effectiveness of the proposed result.

Keywords

absolute stability; control nonlinearities; delays; fuzzy control; fuzzy systems; linear matrix inequalities; time-varying systems; LKF; LMI approach; Lyapunov-Krasovskii functional; Takagi-Sugeno fuzzy Lurie control systems; delay-dependent absolute stability criterion; linear matrix inequality; nonlinearity functions; time delay; time-variant uncertainties; uncertain T-S fuzzy Lurie control systems; Control systems; Delay; Educational institutions; Numerical stability; Power system stability; Stability criteria; LKF; LMI; T-S fuzzy Lurie systems; absolute stability; tiem delay; uncertain systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational and Information Sciences (ICCIS), 2012 Fourth International Conference on

Conference_Location

Chongqing

Print_ISBN

978-1-4673-2406-9

Type

conf

DOI

10.1109/ICCIS.2012.58

Filename

6300650