Further Remarks on Stabilizing Chains of Integrators by Using Network Delays

César Fernando Méndez Barrios (1) , Wim Michiels (2) , Silviu-Iulian Niculescu (1)

1 L2S - Laboratoire des signaux et systèmes
2 DCS - Department of Computer Science [Leuven]

This paper focuses on the closed-loop stability of a chain of integrators in a networked-control setting. More precisely, we are interested in using the network-induced delays as control parameters. Similar to the continuous-time case, we will see that a single delay is not sufficient to stabilize a chain having n integrators, but that n delay blocks are able to stabilize such a chain without being able to guarantee an arbitrary pole placement for the corresponding closed-loop system.

Mots clés: chain of integrators; delays; stability; Pusieux-Series; sampling period

Domaines: Automatique / Robotique

César Fernando Méndez Barrios, Wim Michiels, Silviu-Iulian Niculescu. Further Remarks on Stabilizing Chains of Integrators by Using Network Delays. Proceeding of the 2009 European Control Conference, 2009, http://www.conferences.hu/ecc09/. ⟨hal-00450092⟩