H[subscript 2]-optimal decentralized control over posets: A state space solution for state-feedback
Name
Parrilo_H2-optimal decentralized.pdf
Size
154.3 KB
Format
Adobe PDF
Checksum (MD5)
8ac8a2127fe8d9a85fe7cc0de6dd6adf
Author(s)
Shah, Parikshit
Parrilo, Pablo A.
Date Issued
December 2010
Journal
Proceedings of the 49th IEEE Conference on Decision and Control (CDC), 2010
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Shah, Parikshit, and Pablo A. Parrilo. “H[subscript 2]-optimal Decentralized Control over Posets: A State Space Solution for State-feedback.” 49th IEEE Conference on Decision and Control (CDC), 2010. 6722–6727. © Copyright 2010 IEEE
Version
Final published version
Abstract
We develop a complete state-space solution to ℋ[subscript 2]-optimal decentralized control of poset-causal systems with state-feedback. Our solution is based on the exploitation of a key separability property of the problem, that enables an efficient computation of the optimal controller by solving a small number of uncoupled standard Riccati equations. Our approach gives important insight into the structure of optimal controllers, such as degree bounds that depend on the structure of the poset. A novel element in our state-space characterization of the controller is a remarkable pair of transfer functions, that belong to the incidence algebra of the poset, are inverses of each other, and are intimately related to estimation of the state along the different paths on the poset.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1109/CDC.2010.5718116
