Decentralized guaranteed cost control for synchronization in networks of linear singularly perturbed systems

Jihene Ben Rejeb (1) , Irinel-Constantin Morarescu (1) , Jamal Daafouz (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

In this work we are providing results on decentralized guaranteed cost control design for synchronization of linear singularly perturbed systems connected by undirected links that are fixed in time. We show that we can proceed to a timescale separation of the overall network dynamics and design the controls that synchronize the slow dynamics and the fast ones. This is done by transforming the problem of synchronization into a simultaneous stabilization one. Applying the joint control actions to the network of singularly perturbed systems we obtain an approximation of the synchronization behavior imposed for each scale. Moreover, the synchronization can be done with a guaranteed total energy cost.

Domaines: Automatique

Jihene Ben Rejeb, Irinel-Constantin Morarescu, Jamal Daafouz. Decentralized guaranteed cost control for synchronization in networks of linear singularly perturbed systems. 9th European Nonlinear Dynamics Conference, ENOC 2017, Jun 2017, Budapest, Hungary. ⟨hal-01580992⟩