Journal article

Control with erasure channels: performance characterization using an equivalent SNR constrained problem

Alejandro I Maass, Francisco J Vargas

IFAC PAPERSONLINE | ELSEVIER | Published : 2017

Abstract

This paper presents an analytical expression for the optimal stationary performance in the control of multiple-input linear time-invariant (LTI) plants when controlled over erasure channels. In particular, we consider a class of LTI controllers with a data-dropout compensation mechanism. To derive our results, we exploit a statistical equivalence between a feedback system with an erasure channel, and a feedback system with an additive white noise (AWN) channel subject to a signal-to-noise ratio (SNR) constraint. This equivalence allows us to use standard H2 optimization techniques to find an analytical characterization of the optimal performance in terms of the successful transmission probab..

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Grants

Awarded by Chilean Research Agency CONICYT through FONDECYT grant


Awarded by Advance Center for Electrical and Electronic Engineering, AC3E


Funding Acknowledgements

This work was supported by the Chilean Research Agency CONICYT through FONDECYT grant No. 1161241 and by the Advance Center for Electrical and Electronic Engineering, AC3E, Basal Project FB0008.