An optimal controller architecture for poset-causal systems
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Parrilo_An optimal controller.pdf
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421.81 KB
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Adobe PDF
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9966f7199d2dc9550de4f16202c65928
Author(s)
Shah, Parikshit
Parrilo, Pablo A.
Date Issued
March 2012
Journal
50th IEEE Conference on Decision and Control and European Control Conference 2011 (CDC-ECC)
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Shah, Parikshit, and Pablo A. Parrilo. “An Optimal Controller Architecture for Poset-causal Systems.” 50th IEEE Conference on Decision and Control and European Control Conference 2011 (CDC-ECC). 5522–5528.
Version
Author's final manuscript
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 Möbius transform of the poset, 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 Möbius inversion and control-theoretic concepts such as state prediction, correction, and separability. In addition, using our earlier results on ℌ2-optimal decentralized control for arbitrary posets, we prove that the ℌ2-optimal controller in fact possesses the proposed structure, thereby establishing the optimality of the new controller architecture.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1109/CDC.2011.6160816
