Title :
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
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;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1243481
