Title :
Discrete state feedback of linear continuous systems with constraints
Author :
Hu, Li-Sheng ; Cao, Yong-Yan ; Shao, Hui-he
Author_Institution :
Dept. of Autom., Shanghai Jiaotong Univ., China
Abstract :
Sufficient and necessary conditions for nonlinear impulsive systems considering linear constraints with bounded additive disturbances are obtained from a characterization of positive invariance properties for these systems. As the application of results obtained, the sufficient conditions for discrete state feedback control and for asymptotic stabilization of the linear uncertain systems with the state positively asymmetrical invariant set are presented. Finally, a numerical example is given
Keywords :
asymptotic stability; continuous time systems; discrete time systems; invariance; linear systems; nonlinear control systems; robust control; sampled data systems; state feedback; uncertain systems; asymptotic stabilization; bounded additive disturbances; discrete state feedback; linear continuous systems; nonlinear impulsive systems; positive invariance properties; state positively asymmetrical invariant set; sufficient and necessary conditions; Additives; Continuous time systems; Control systems; Digital control; Linear feedback control systems; Linear systems; Robust control; Robust stability; State feedback; Uncertain systems;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.876682
