Finite-time average consensus in networked dynamic systems

Naim Zoghlami (1, 2) , Lotfi Beji (1) , Rhouma Mlayeh (2) , Azgal Abichou (2)

1 IBISC - Informatique, Biologie Intégrative et Systèmes Complexes
2 LIM - Laboratoire d'Ingénierie Mathématique

The paper tackles to the finite-time average consensus problem of networked dynamic systems. A dynamic behavior is described by a controlled first order differential equation with and without drift term. The objective of the analysis is to cover a large variety of autonomous systems without restoring their explicit form. For high dimensional multi-system, protocols are proposed to solve the average consensus problem in finite-time. Like an interaction topology, the agreement achievement is analyzed through an undirect fixed graph.The theoretical results are supported by simulations based on multi-unicycle and multi-pendulum systems.

Domaines: Automatique / Robotique

Naim Zoghlami, Lotfi Beji, Rhouma Mlayeh, Azgal Abichou. Finite-time average consensus in networked dynamic systems. 53rd IEEE Annual Conference on Decision and Control (CDC 2014), Dec 2014, Los Angeles, United States. pp.4485-4490, ⟨10.1109/CDC.2014.7040089⟩. ⟨hal-01172701⟩