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Robust causal transform coding for LQG systems with delay loss in communications

Izadinasab, Mohammad Kazem and Sani, Amir Homayoun Bahari and Lahouti, Farshad and Hassibi, Babak (2016) Robust causal transform coding for LQG systems with delay loss in communications. In: 2016 American Control Conference (ACC). IEEE , Piscataway, NJ, pp. 4470-4475. ISBN 978-1-4673-8682-1. http://resolver.caltech.edu/CaltechAUTHORS:20170324-084647017

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Abstract

A networked controlled system (NCS) in which the plant communicates to the controller over a channel with random delay loss is considered. The channel model is motivated by recent development of tree codes for NCS, which effectively translates an erasure channel to one with random delay. A causal transform coding scheme is presented which exploits the plant state memory for efficient communications (compression) and provides robustness to channel delay loss. In this setting, we analyze the performance of linear quadratic Gaussian (LQG) closed-loop systems and the design of the optimal controller. The design of the transform code for LQG systems is posed as a channel optimized source coding problem of minimizing a weighted mean squared error over the channel. The solution is characterized in two steps of obtaining the optimized causal encoding and decoding transforms and rate allocation across a set of transform coding quantizers. Numerical and simulation results for Gauss-Markov sources and an LQG system demonstrate the effectiveness of the proposed schemes.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/ACC.2016.7526056 DOIArticle
http://ieeexplore.ieee.org/document/7526056/PublisherArticle
https://arxiv.org/abs/1607.08209arXivDiscussion Paper
Additional Information:© 2016 AACC. This work was supported in part by the National Science Foundation under grants CCF-1423663 and CCF-1409204, by a grant from Qualcomm Inc., by NASA’s Jet Propulsion Laboratory through the President and Director’s Fund, and by King Abdullah University of Science and Technology.
Funders:
Funding AgencyGrant Number
NSFCCF-1423663
NSFCCF-1409204
Qualcomm Inc.UNSPECIFIED
JPL President and Director’s FundUNSPECIFIED
King Abdullah University of Science and Technology (KAUST)UNSPECIFIED
Record Number:CaltechAUTHORS:20170324-084647017
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170324-084647017
Official Citation:M. K. Izadinasab, A. H. B. Sani, F. Lahouti and B. Hassibi, "Robust causal transform coding for LQG systems with delay loss in communications," 2016 American Control Conference (ACC), Boston, MA, 2016, pp. 4470-4475. doi: 10.1109/ACC.2016.7526056 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7526056&isnumber=7524873
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:75378
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Mar 2017 16:32
Last Modified:24 Mar 2017 16:32

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