Network Realization Functions for Optimal Distributed Control

Abstract

In this paper we formalize a novel type of realizations for networks with linear and time-invariant dynamics, which we have dubbed Network Realization Functions. In doing so, we outline a novel type of "structure" in linear, distributed control, which is amenable to convex formulations for controller design. This approach is well suited for large scale systems, since the subsequent schemes completely avoid the exchange of internal states among sub-controllers, i.e., plant or controller states.

Engineering Emergence: A Survey on Control in the World of Complex Networks

“…The latter is of particular interest in control, as consensus mechanisms can guide the state of the network from one operating point to another [209]. Approaches to consensus are plentiful in the control world [210][211][212][213], although not many deal with complex networks specifically. A recent review [214] on consensus shed light on applications such as rendezvous, formation control, or wireless sensor networks.…”