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arXiv · 1111.7221

An Optimal Controller Architecture for Poset-Causal Systems

Parikshit Shah·Pablo Parrilo
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Abstract

We propose a novel and natural architecture for decentralized control that is applicable whenever the underlying system has the structure of a partially ordered set (poset). This controller architecture is based on the concept of Moebius inversion for posets, and enjoys simple and appealing separation properties, since the closed-loop dynamics can be analyzed in terms of decoupled subsystems. The controller structure provides rich and interesting connections between concepts from order theory such as Moebius inversion and control-theoretic concepts such as state prediction, correction, and separability. In addition, using our earlier results on H_2-optimal decentralized control for arbitrary posets, we prove that the H_2-optimal controller in fact possesses the proposed structure, thereby establishing the optimality of the new controller architecture.

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Parikshit Shah, Pablo Parrilo. 2011-11-30. An Optimal Controller Architecture for Poset-Causal Systems. https://doi.org/10.1109/cdc.2011.6160816

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