Scale Free Controllability of Large-Scale Networks: an Output Controllability Approach

Giacomo Casadei (1) , Carlos Canudas de Wit (1) , Sandro Zampieri (2)

1 NECS - Networked Controlled Systems
2 DEI - Dipartimento di Ingegneria de l'Informazione [Padova]

In this paper we consider the problem of controllability and energy consumption for large scale networks. Instead of controlling separately all the nodes of the network we control an output which is defined as some measurement (for instance the average) of the nodes which are not directly controlled. We thus exploit the concept of Output Controllability and the Output Controllability Gramian to analyze the properties of the system. In this context, we show that it is possible to obtain a reduced-order model which makes the Gramian compution and control design much easier. Simulations show that the reduced model is consistent with the original one and for low ratios of controlled nodes, more robust and performing with respect to the original.

Mots clés: Controllability Gramian

Domaines: Automatique / Robotique

Giacomo Casadei, Carlos Canudas de Wit, Sandro Zampieri. Scale Free Controllability of Large-Scale Networks: an Output Controllability Approach. CDC 2018 - 57th IEEE Conference on Decision and Control, Dec 2018, Miami, FL, United States. pp.1-8. ⟨hal-01953539⟩