Some remarks on the delay stabilizing effect in SISO systems

Author

Niculescu, Silviu-Iulian ; Gu, Keqin ; Abdallah, Chaouki T.

Author_Institution

Centre de Recherche de Royallieu, Univ. de Technol. de Compiegne, France

Volume

3

fYear

2003

fDate

4-6 June 2003

Firstpage

2670

Abstract

This note addresses the stabilization problem of a class of SISO systems with a time delay in the input, and explore the stabilizing effect of time delay. More precisely, for a fixed feedback gain such that the closed loop system is unstable when the delay is set to zero, we present necessary and sufficient conditions for the delays such that the stability in closed-loop is achieved, and provide an explicit construction of the controllers. Next, we analyze conditions for preserving the closed-loop stability if parametric or time-varying delay uncertainties are present in the control law. Illustrative examples are also proposed.

Keywords

closed loop systems; delay systems; feedback; input-output stability; time-varying systems; uncertain systems; SISO systems; closed loop stability; closed loop system; delay stabilizing effect; fixed feedback gain; input time delay; single input single output system; sufficient conditions; time varying delay uncertainty; Chaos; Closed loop systems; Control systems; Delay effects; Feedback control; Feedback loop; Open loop systems; Stability analysis; Time varying systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1243481

Filename

1243481