Title :
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
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;
Conference_Titel :
Apperceiving Computing and Intelligence Analysis (ICACIA), 2010 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-8025-8
DOI :
10.1109/ICACIA.2010.5709854