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Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information

Martins, Nuno C. and Dahleh, Munther A. and Doyle, John C. (2005) Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information. In: Proceedings of the 44th IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 2523-2529. ISBN 0-7803-9567-0. https://resolver.caltech.edu/CaltechAUTHORS:20190306-141450198

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Abstract

In this paper, we study fundamental limitations of disturbance attenuation of feedback systems, under the assumption that the controller has a finite horizon preview of the disturbance. In contrast with prior work, we extend Bode’s integral equation for the case where the preview is made available to the controller via a general, finite capacity, communication system. Under asymptotic stationarity assumptions, our results show that the new fundamental limitation differs from Bode’s only by a constant, which quantifies the information rate through the communication system. In the absence of stationarity, we derive a universal lower bound which uses entropy rates as a measure of performance.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.2005.1582542DOIArticle
http://resolver.caltech.edu/CaltechAUTHORS:MARieeetac07Related ItemJournal Article
ORCID:
AuthorORCID
Doyle, John C.0000-0002-1828-2486
Additional Information:© 2005 IEEE. The authors would like to thank Ola Ayaso (MIT), Jorge Goncalves (Cambridge U., U.K.) and Mustafa Khammash (UCSB) for providing references to examples in Biology. We also would like to express our gratitude to Prakash Narayan (U. Maryland) for carefully reading our first manuscript, to Sanjoy Mitter (MIT) for interesting suggestions and to Jie Chen (U California Riverside) for pointing us to a few references in Preview Control. This work was sponsored by the UCLA, MURI project title: “Cooperative Control of Distributed Autonomous Vehicles in Adversarial Environments”, award: 0205-G-CB222. Nuno C. Martins was supported by the Portuguese Foundation for Science and Technology and the European Social Fund, PRAXIS SFRH/BPD/19008/2004/JS74.
Funders:
Funding AgencyGrant Number
UCLA0205-G-CB222
Fundação para a Ciência e a Tecnologia (FCT)UNSPECIFIED
European Social FundSFRH/BPD/19008/2004/JS74
DOI:10.1109/CDC.2005.1582542
Record Number:CaltechAUTHORS:20190306-141450198
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190306-141450198
Official Citation:N. C. Martins, M. A. Dahleh and J. C. Doyle, "Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information," Proceedings of the 44th IEEE Conference on Decision and Control, Seville, Spain, 2005, pp. 2523-2529. doi: 10.1109/CDC.2005.1582542
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93606
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 Mar 2019 22:44
Last Modified:16 Nov 2021 16:59

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