# Energy-aware and entropy coding for Networked Controlled Linear Systems

1 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
Abstract : This paper addresses issues on coding design in the context of control of systems equipped with low-energy sensors networks. We particularly focus on issues concerning minimum bit and energy-aware coding. To this aim, we devise a coding strategy with the ability to quantify and to differentiate stand-still signal events from changes in the source (level crossing detector). Coding is effectuated by defining at least 3-valued alphabet for the minimum bit case, and ($2L+1$)-valued alphabet for a general case with a precision depending on $L$. Energy saves are studied in two different scenarios; (1) in the word-by-word transmission case, the stand-still signal event is modulated with a low power transmission mechanisms, whereas the changes of levels will be modulated with high-power, (2) in the package-based transmission case, an entropy variable length coding is added to the previous encoding process. Entropy coding assigns some probability distribution to the events, so that the mean transmission energy can be substantially improved for systems where the stand-still events have higher probability to arise (i.e. stable systems). The paper studies the stability properties needed for this type of coding to operate properly, and quantify the energy saves for each of the considered scenarios.
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Journal articles
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https://hal.archives-ouvertes.fr/hal-00344234
Contributor : Carlos Canudas de Wit <>
Submitted on : Thursday, December 4, 2008 - 11:19:57 AM
Last modification on : Wednesday, April 11, 2018 - 1:59:47 AM
Document(s) archivé(s) le : Thursday, October 11, 2012 - 12:31:36 PM

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Entropy_coding-IJAC5.pdf
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### Citation

Carlos Canudas de Wit, Jonathan Jaglin. Energy-aware and entropy coding for Networked Controlled Linear Systems. International Journal of Robust and Nonlinear Control, Wiley, 2009, 19 (16), pp.1851-1870. ⟨10.1002/rnc.1419⟩. ⟨hal-00344234⟩

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