Further Remarks on Stabilizing Chains of Integrators by Using Network Delays

International audienceThis 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

ecc09/" Further Remarks on Stabilizing Chains of Integrators by Using Network Delays

Abstract — 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. Several illustrative examples complete the presentation. I