Minimal Interconnection Topology in Distributed Control Design

-- Cedric Langbort and Vijay Gupta,  American Control Conference, 2006 (ACC '06). Accepted

We propose and partially analyze a new model for determining the influence of a controller's interconnection graph on closed-loop performance in distributed control design problems. Given a plant composed of dynamically uncoupled subsystems, we investigate the existence and properties of an optimally structured controller, when one of the weight matrices of a classical LQR cost function is topology-dependent. We also give some theoretical results as to the existence of "critical prices" at which adding supplementary edges becomes deterimental to closed-loop performance.

conference submission

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