Positive invariance of linear uncertain systems and applications

Author

Hu, Li-Sheng ; Cao, Yong-Yan ; Shao, Hui-he

Author_Institution

Dept. of Autom., Shanghai Jiaotong Univ., China

Volume

4

fYear

2000

fDate

2000

Firstpage

2854

Abstract

Sufficient and necessary conditions for nonlinear impulsive systems with respect to linear constraints with bounded additive disturbances are obtained from a characterization of positive invariance properties for these systems. As an application of results obtained, the sufficient conditions for discrete state feedback control and for asymptotic stabilization of linear uncertain systems with the state positively nonsymmetrical invariant set are presented. Furthermore, extensions to multirate sampled-data control are presented. Finally, a numerical example is given

Keywords

asymptotic stability; invariance; linear systems; nonlinear control systems; robust control; sampled data systems; state feedback; uncertain systems; bounded additive disturbances; discrete state feedback control; linear constraints; linear uncertain systems; multirate sampled-data control; nonlinear impulsive systems; positive invariance; sufficient and necessary conditions; Additives; Control systems; Digital control; Linear feedback control systems; Linear systems; Robust control; Robust stability; State feedback; Sufficient conditions; Uncertain systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2000. Proceedings of the 3rd World Congress on

Conference_Location

Hefei

Print_ISBN

0-7803-5995-X

Type

conf

DOI

10.1109/WCICA.2000.862584

Filename

862584