Title
An Optimal Controller Architecture For Poset-Causal Systems
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 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
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
Parikshit Shah131518.43
Pablo A. Parrilo23455229.27