Network Realization Functions for Optimal Distributed Control

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.

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