Title :
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
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;
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
DOI :
10.1109/ICACIA.2009.5361138
