Absolute stability condition for T-S fuzzy Lurie control systems with Time-varying Delay

Author

Xia, Xiao-xu ; Zhong, Shouming ; Luo, Yanju

Author_Institution

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

fYear

2009

fDate

23-25 Oct. 2009

Firstpage

120

Lastpage

123

Abstract

This paper focuses on the absolute stability of a new class of Takagi-Sugeno (T-S) fuzzy Lurie control systems with time-varying delay. By utilizing the Lyapunov-Krasovskii functional (LKF) and novel techniques, new Lyapunov functions are defined and a new absolute stability condition is derived in the form of linear matrix inequalities (LMIs) which is different from existing ones.

Keywords

Lyapunov methods; absolute stability; delays; fuzzy control; linear matrix inequalities; time-varying systems; Lyapunov functions; Lyapunov-Krasovskii functional; T-S fuzzy Lurie control systems; Takagi-Sugeno fuzzy Lurie control systems; absolute stability condition; linear matrix inequality; time-varying delay; Control system synthesis; Control systems; Delay systems; Fuzzy control; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Stability; Takagi-Sugeno model; Time varying systems; Absolute stability; Linear matrix inequality (LMI); Lyapunov functional; Takagi-Sugeno (T-S) fuzzy Lurie systems; Time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Apperceiving Computing and Intelligence Analysis, 2009. ICACIA 2009. International Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4244-5204-0

Electronic_ISBN

978-1-4244-5206-4

Type

conf

DOI

10.1109/ICACIA.2009.5361138

Filename

5361138