Some Remarks on the Delay Stabilizing Effect in SISO systems

Silviu-Iulian Niculescu (1) , Keqin Gu (2) , Chaouki T Abdallah (3)

1 Heudiasyc - Heuristique et Diagnostic des Systèmes Complexes [Compiègne]
2 SIUE - Southern Illinois University [Edwardsville]
3 EECE - Department of Electrical and Computer Engineering [Berkeley]

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 shall 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 shall 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.

Mots clés: Closed loop control systems; Delay control systems; Feedback; Gain measurement; Delay stabilizing effects; System stability

Domaines: Automatique / Robotique

Silviu-Iulian Niculescu, Keqin Gu, Chaouki T Abdallah. Some Remarks on the Delay Stabilizing Effect in SISO systems. 2003 American Control Conference, Jun 2003, Denver, United States. pp.2670-2675. ⟨hal-02294782⟩