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Title: Compressive Sampling for Remote Control Systems
Authors: NAGAHARA, Masaaki  KAKEN_id
MATSUDA, Takahiro
HAYASHI, Kazunori  kyouindb  KAKEN_id  orcid (unconfirmed)
Author's alias: 永原, 正章
Keywords: remote control
compressive sampling
compressed sensing
sparse representation
ℓ1-ℓ2 optimization
Issue Date: Apr-2012
Publisher: The Institute of Electronics, Information and Communication Engineers
Journal title: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume: E95-A
Issue: 4
Start page: 713
End page: 722
Abstract: In remote control, efficient compression or representation of control signals is essential to send them through rate-limited channels. For this purpose, we propose an approach of sparse control signal representation using the compressive sampling technique. The problem of obtaining sparse representation is formulated by cardinality-constrained ℓ2 optimization of the control performance, which is reducible to ℓ1-ℓ2 optimization. The low rate random sampling employed in the proposed method based on the compressive sampling, in addition to the fact that the ℓ1-ℓ2 optimization can be effectively solved by a fast iteration method, enables us to generate the sparse control signal with reduced computational complexity, which is preferable in remote control systems where computation delays seriously degrade the performance. We give a theoretical result for control performance analysis based on the notion of restricted isometry property (RIP). An example is shown to illustrate the effectiveness of the proposed approach via numerical experiments.
Rights: © 2012 The Institute of Electronics, Information and Communication Engineers
DOI(Published Version): 10.1587/transfun.E95.A.713
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