Title :
Stability and stabilization for discrete systems with time-varying delays based on the average dwell-time method
Author :
Sun, Jian ; Chen, Jie ; Liu, G.P. ; Rees, D.
Author_Institution :
Sch. of Autom., Beijing Inst. of Technol., Beijing, China
Abstract :
In this paper, the problems of the exponential stability and stabilization for a class of discrete systems with time-varying delays are considered. By converting discrete systems with time-varying delays into switched systems and using the average dwell-time method, a new stability criterion is obtained and presented in terms of linear matrix inequality. Based on the obtained stability condition, a design method for the feedback controller to stabilize the system is also proposed. Finally, some numerical examples are given to show the effectiveness of the proposed method.
Keywords :
asymptotic stability; control system synthesis; delays; discrete systems; feedback; linear matrix inequalities; time-varying systems; average dwell-time method; discrete systems; exponential stability; feedback controller design method; linear matrix inequality; stabilization; switched systems; time-varying delays; Asymptotic stability; Control systems; Delay estimation; Delay systems; Linear matrix inequalities; Lyapunov method; Stability analysis; Stability criteria; Switched systems; Time varying systems; Exponential stability; average dwell-time method; feedback control; linear matrix inequality; switched systems; time-varying delay;
Conference_Titel :
Systems, Man and Cybernetics, 2009. SMC 2009. IEEE International Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
978-1-4244-2793-2
Electronic_ISBN :
1062-922X
DOI :
10.1109/ICSMC.2009.5346075
