Scale-free boundary control of multiple aggregates in large-scale networks

Denis Nikitin (1) , Carlos Canudas de Wit (1) , Paolo Frasca (1)

1 DANCE - Dynamics and Control of Networks

This paper deals with the problem of controlling aggregated linear outputs of a large-scale network to a constant reference value. A multi-output feedback controller is designed such that no information about state vector or system matrices is needed. To provide the conditions for the controller to be stable irrespectively of the gains, the passivity formalism is used and the system is shown to be Strictly Positive Real (SPR). This controller can be used to regulate average states of regions of a largescale network with control applied to nodes that lie at the boundaries of the regions.

Mots clés: Large Scale Systems; Control of Networks; Passivity

Domaines: Optimisation et contrôle [math.OC]; Systèmes et contrôle [cs.SY]

Denis Nikitin, Carlos Canudas de Wit, Paolo Frasca. Scale-free boundary control of multiple aggregates in large-scale networks. 2021. ⟨hal-03170612⟩