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Rate-limited control of systems with uncertain gain

Kostina, Victoria and Peres, Yuval and Rácz, Miklόs Z. and Ranade, Gireeja (2016) Rate-limited control of systems with uncertain gain. In: 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2016. IEEE , Piscataway, NJ, pp. 1189-1196. ISBN 978-1-5090-4551-8. https://resolver.caltech.edu/CaltechAUTHORS:20170221-064842476

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Abstract

Controlling and stabilizing systems involves countering the impact of explicit communication constraints in addition to inherent system model parameter uncertainty and random noise. Here we use an information-theoretic approach to jointly tackle all three issues and understand their interactions. Our main result bounds the minimum communication rate required for the mean-square stability of a system with uncertain system gain. Moreover, our techniques extend to provide a finer characterization of the required rate when specific finite bounds on the second moment of the state are desired.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/ALLERTON.2016.7852370DOIArticle
http://ieeexplore.ieee.org/document/7852370/PublisherArticle
ORCID:
AuthorORCID
Kostina, Victoria0000-0002-2406-7440
Additional Information:© 2016 IEEE. Date of Conference: 27-30 Sept. 2016. Date Added to IEEE Xplore: 13 February 2017. We thank Philip Chou, Tamás Linder, and Kartik Venkat for useful pointers and helpful discussions.
Record Number:CaltechAUTHORS:20170221-064842476
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170221-064842476
Official Citation:V. Kostina, Y. Peres, M. Z. Rácz and G. Ranade, "Rate-limited control of systems with uncertain gain," 2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton), Monticello, IL, USA, 2016, pp. 1189-1196. doi: 10.1109/ALLERTON.2016.7852370
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:74414
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:21 Feb 2017 17:56
Last Modified:03 Oct 2019 16:38

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