Title :
Robust Stabilization for a Class of Discrete-Time Systems with Delays via Delta Operators Approach
Author :
Jiqing, Qiu ; Hongjiu, Yang ; Yuanqing, Xia ; Jinhui, Zhang ; Zhifeng, Gao
Author_Institution :
Hebei Univ. of Sci. & Technol., Shijiazhuang
Abstract :
In this paper, the problem of state feedback control for a class of time-delay systems with linear factional uncertainties is investigated via delta operator approach. Based on Lyapunov-Krasovskii functional in delta domain, a new sampling-period dependent state feedback controller is presented in terms of linear matrix inequalities (LMIs). The proposed method can unify some previous related continuous and discrete systems into the delta operator systems framework. Numerical examples are given to illustrate the effectiveness of the developed techniques.
Keywords :
Lyapunov methods; delays; discrete time systems; linear matrix inequalities; robust control; state feedback; Lyapunov-Krasovskii functional; continuous systems; delta operators; discrete systems; discrete-time systems; linear factional uncertainties; linear matrix inequalities; robust stabilization; sampling-period dependent state feedback controller; time-delay systems; Control systems; Delay effects; Delay systems; Linear feedback control systems; Robust control; Robustness; Sampling methods; Stability; State feedback; Uncertainty; Delta operators; Linear Matrix Inequalities (LMIs); Linear factional uncertainties; State feedback controllers; Time delays;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4347112