Title :
Delay-Dependent Robust Stabilization for Uncertain Time-Delay Systems
Author :
Wang, Tiancheng ; Guo, Hongxia ; Ju, Jing
Author_Institution :
Coll. of Math. & Inf., Ludong Univ., Yantai
Abstract :
The problem of delay-dependent robust stabilization for uncertain system with time-delay is considered. By means of the Lyapunov function and linear matrix inequalities (LMIs) technique, a delay-dependent sufficient condition is derived for the existence of a state feedback controller, which ensures asymptotic stability of the closed system for all admissible uncertainties. Unlike previous methods, the mathematical development avoids system transforming and bounding certain cross terms which often lead to conservatism. In terms of the solutions of LMIs, the robust stabilization controller is presented. Finally, an illustrative example is given to demonstrate the effectiveness of proposed method
Keywords :
Lyapunov methods; asymptotic stability; delay systems; linear matrix inequalities; robust control; state feedback; uncertain systems; Lyapunov function; asymptotic stability; delay-dependent robust stabilization controller; linear matrix inequalities; state feedback controller; uncertain time-delay system; Asymptotic stability; Control systems; Delay; Linear feedback control systems; Linear matrix inequalities; Lyapunov method; Robustness; State feedback; Sufficient conditions; Uncertain systems; Uncertain system; delay-dependent; linear matrix inequality(LMI); robust control;
Conference_Titel :
Control, Automation, Robotics and Vision, 2006. ICARCV '06. 9th International Conference on
Conference_Location :
Singapore
Print_ISBN :
1-4244-0341-3
Electronic_ISBN :
1-4214-042-1
DOI :
10.1109/ICARCV.2006.345120