Dynamic output feedback stabilizing control for linear time-varying uncertain systems with delayed state and control

Author

Su, Hongye ; Wang, Jingcheng ; Yu, Li ; Chu, Jian

Author_Institution

Res. Inst. of Ind. Process Control, Zhejiang Univ., Hangzhou, China

Volume

5

fYear

1997

fDate

10-12 Dec 1997

Firstpage

4562

Abstract

A robust stabilizing problem for linear time-varying uncertain systems with delayed state and control is studied when the full state can not be measured. An observer-based dynamic output feedback controller is derived to quadratically stabilize the linear time-delay system with norm-bounded uncertainty. A sufficient condition of robust output feedback stabilizability of a system is presented, then the sufficient condition is transformed into a linear matrix inequality (LMI) problem and the control law can be obtained by solving two LMIs. Finally, a numerical example is presented to illustrate the obtained results

Keywords

control system analysis; control system synthesis; delay systems; feedback; linear systems; matrix algebra; observers; robust control; time-varying systems; uncertain systems; delayed control; delayed state; dynamic output feedback stabilizing control; linear matrix inequality; linear time-delay system; linear time-varying uncertain systems; norm-bounded uncertainty; observer-based dynamic output feedback controller; quadratic stabilization; robust stabilizing problem; sufficient condition; Control systems; Delay systems; Erbium; Linear feedback control systems; Output feedback; Riccati equations; Robust control; Time varying systems; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.649696

Filename

649696