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LQ vs. ℓ_∞ in controller design for systems with delay and quantization

Nakahira, Yorie (2016) LQ vs. ℓ_∞ in controller design for systems with delay and quantization. In: IEEE 55th Conference on Decision and Control (CDC). IEEE , Piscataway, NJ, pp. 2382-2389. ISBN 978-1-5090-1837-6. http://resolver.caltech.edu/CaltechAUTHORS:20170106-125636340

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Abstract

The normal operation of many cyberphysical, biological, and neural systems fit naturally with robust control, with key variables like lane positions, voltages, temperatures, blood pressures, etc maintained within tight bounds despite diverse uncertainties. However, two challenges in particularly need further theory that this paper addresses. One is that control is distributed with communication having limits on bandwidth and delay. Another is that normal operations can be disrupted and bounds violated, but it is desirable to make such acute situations rare and recoverable without crashing. We take the simplest model that has both normal and acute modes with bandwidth and delay constraints, and focus on two relatively extreme but familiar starting points: i) average case LQG (or ℋ_2) and ii) worst case ℓ_1 control with ℓ_∞ signal bounds. Both have strengths and weaknesses that we highlight, and this leads naturally to a win-win hybrid scheme that has better performance than either alone, with relatively modest computational costs.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.2016.7798619DOIArticle
http://ieeexplore.ieee.org/document/7798619/PublisherArticle
Alternate Title:LQ vs. ℓ∞ in controller design for systems with delay and quantization
Additional Information:© 2016 IEEE. This work was funded by grants from AFOSR and NSF, and gifts from Cisco, Huawei, and Google. We would like to thank Prof. J. C. Doyle, Prof. V. Kostina, Dr. I. Papusha, and Dr. D. Hui for insightful discussions.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
NSFUNSPECIFIED
CiscoUNSPECIFIED
HuaweiUNSPECIFIED
GoogleUNSPECIFIED
Subject Keywords:Delays, Bandwidth, Decoding, Control systems, Complexity theory, Aerospace electronics, Quantization (signal)
Record Number:CaltechAUTHORS:20170106-125636340
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170106-125636340
Official Citation:Y. Nakahira, "LQ vs. ℓ∞ in controller design for systems with delay and quantization," 2016 IEEE 55th Conference on Decision and Control (CDC), Las Vegas, NV, USA, 2016, pp. 2382-2389. doi: 10.1109/CDC.2016.7798619 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7798619&isnumber=7798233
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73302
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:06 Jan 2017 22:50
Last Modified:06 Jan 2017 22:50

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