NDLI: Sparsity based feedback design: A new paradigm in opportunistic sensing

Content Provider	IEEE Xplore Digital Library
Author	Bhattacharya, S. Basar, T.
Copyright Year	2011
Description	Author affiliation: Coordinated Sci. Lab., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA (Bhattacharya, S.; Basar, T.)
Abstract	We introduce the concept of using compressive sensing techniques to provide feedback in order to control dynamical systems. Compressive sensing algorithms use $l_{1}-regularization$ for reconstructing data from a few measurement samples. These algorithms provide highly efficient reconstruction for sparse data. For data that is not sparse enough, the reconstruction technique produces a bounded error in the estimate. In a dynamical system, such erroneous state-estimation can lead to undesirable effects in the output of the plant. In this work, we present some techniques to overcome the aforementioned restriction. Our efforts fall into two main categories. First, we present some techniques to design feedback systems that sparsify the state in order to perfectly reconstruct it using compressive sensing algorithms. We study the effect of such sparsification schemes on the stability and regulation of the plant. Second, we study the characteristics of dynamical systems that produce sparse states so that compressive sensing techniques can be used for feedback in such scenarios without any additional modification in the feedback loop.
Sponsorship	Control Syst. Soc.
Starting Page	3704
Ending Page	3709
File Size	176389
Page Count	6
File Format	PDF
ISBN	9781457700804
ISSN	07431619
e-ISBN	9781457700811
DOI	10.1109/ACC.2011.5991014
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-06-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Compressed sensing Image reconstruction Equations Sensors Heuristic algorithms Vectors Control systems
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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