Title :
Feedback control of a class of nonlinear discrete systems with state time-varying delay
Author :
Gao Cunchen ; Xu Yan
Author_Institution :
Sch. of Math. Sci., Ocean Univ. of China, Qingdao, China
Abstract :
In this paper, the robust stability under the feedback control of a class of nonlinear discrete systems with state time-varying delay is studied. Firstly, the robust stability´s sufficient condition of this system is given in the form of Linear Matrix Inequalities. Secondly, a state feedback controller of the system is designed, and the design method is a linear matrix inequality constrained optimization problem. In addition, the designed state feedback controller can make the closed loop system asymptotically stable. Finally, a numerical example and a simulation are given to illustrate the method´s feasibility and effectiveness.
Keywords :
asymptotic stability; closed loop systems; control system synthesis; delays; discrete systems; linear matrix inequalities; nonlinear control systems; optimisation; robust control; state feedback; time-varying systems; asymptotic stability; closed loop system; linear matrix inequality constrained optimization problem; nonlinear discrete systems; robust stability; state feedback controller design; state time-varying delay; Ash; Manganese; Robustness; State feedback;
Conference_Titel :
Advanced Mechatronic Systems (ICAMechS), 2011 International Conference on
Conference_Location :
Zhengzhou
Print_ISBN :
978-1-4577-1698-0
