Abstract | ||
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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 Mobius 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 Mobius 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. |
Year | DOI | Venue |
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2011 | 10.1109/CDC.2011.6160816 | 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) |
Keywords | DocType | Volume |
vectors,architecture,computer architecture,partially ordered set,decentralized control,indexation,indexing | Conference | abs/1111.7221 |
ISSN | Citations | PageRank |
0743-1546 | 5 | 0.80 |
References | Authors | |
4 | 2 |
Name | Order | Citations | PageRank |
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Parikshit Shah | 1 | 315 | 18.43 |
Pablo A. Parrilo | 2 | 3455 | 229.27 |