Strict positive realness for linear time-invariant systems with time-delays

Author

Lu, Guoping ; Yeung, L.F. ; Ho, Daniel W C ; Zheng, Yufan

Author_Institution

Dept. of Autom., Nantong Inst. of Technol., Jiangsu, China

Volume

5

fYear

2000

fDate

2000

Firstpage

5004

Abstract

Strict positive realness (SPR) of linear time-invariant systems with multiple time-delays is discussed. We present sufficient conditions via linear matrix inequalities (LMIs) such that the linear delayed system is strictly positive real. More generally, we present a memoryless state feedback controller via LMIs such that the resulting closed-loop system is SPR with α-asymptotic stability constraint (α-SPR) for a class of linear time-delay control system. Furthermore, we give an LMI approach to the optimization problem of computation of the maximal allowable bound on the time-delays such that the closed-loop system is α-SPR

Keywords

asymptotic stability; closed loop systems; delay systems; linear systems; matrix algebra; state feedback; α-asymptotic stability constraint; linear matrix inequalities; linear time-invariant systems; maximal allowable bound; memoryless state feedback controller; strict positive realness; sufficient conditions; time-delays; Asymptotic stability; Automation; Control systems; Impedance; Linear feedback control systems; Linear systems; Mathematics; State feedback; Sufficient conditions; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2001.914727

Filename

914727